121 Best Books on Optimization

We have compiled a list of the Best Reference Books on Optimization, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of Optimization Books with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Optimization below.

  • Introduction to Optimization
  • Optimization
  • Principles of Optimization
  • Design Optimization
  • Convex Optimization
  • Numerical Optimization
  • Structural Optimization
  • A First Course in Optimization
  • Linear and Nonlinear Optimization
  • Linear Programming and Optimization
  • Optimisation of System Reliability
  • Simulation and Optimisation
  • Advanced Topics in Discrete Optimization
  • 1. Introduction to Optimization

     
    1."Introduction to Optimum Design" by J S Arora
    Book Review: The book provides a comprehensive overview of optimality conditions and numerical methods, with practical examples to aid understanding. It presents a simple and structured approach to engineering design optimization and uses numerous examples to demonstrate the concepts and procedures. The book covers a range of design problems in structural, mechanical, and industrial engineering and includes detailed illustrations. An entire chapter is dedicated to advanced optimum design topics. This book is suitable for both graduate and undergraduate students studying optimization and engineering design, and emphasizes the formulation of design problems as optimization problems.

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    2."Optimization: Theory and Applications" by S S Rao
    “Optimization: Theory and Applications” Book Review: The book offers a comprehensive and overview of different optimization techniques, covering both their development and application, as well as their computational aspects. It includes chapters on linear, nonlinear, geometric, dynamic, integer, and stochastic programming, as well as classical optimization methods. The book also covers the use of MATLAB for solving optimization problems, metaheuristic optimization methods, multi-objective optimization, and practical implementation of optimization. It includes numerous examples and over 500 references to the engineering optimization literature, as well as hundreds of review questions and answers.

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    3."Optimization Methods for Engineering Design" by R L Fox
    “Optimization Methods for Engineering Design” Book Review: The book is mainly designed for students pursuing their graduation in engineering. It covers a range of topics, starting with an introduction to optimization-based design, followed by chapters on engineering models in optimization, trial-and-error optimization, and optimization using computer algorithms. The book also discusses specifying optimization problems, design space concepts, algorithmic workings, and the importance of caution when optimizing. It offers guidance on modeling, testing, noise reduction, formulating intentions, and constraints. The book includes numerous practical examples and questions with answers to help readers reinforce their understanding.

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    4."Biologically Inspired Optimization Methods: An Introduction" by Mattias Wahde
    “Biologically Inspired Optimization Methods: An Introduction” Book Review: The book primarily explores how the rise of fast, dependable, and inexpensive computing power in recent decades has brought about transformation in various fields, including the multidisciplinary realm of optimization. The book delves into the development of new optimization algorithms that function differently than classical methods, allowing practitioners to tackle optimization problems that were previously unsolvable or too costly to solve. It is designed to be used as a course book for introductory classes on stochastic optimization algorithms.

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    5."An Introduction to Optimization" by Edwin K P Chong
    “An Introduction to Optimization” Book Review: The book offers a user-friendly approach to optimization theory and methods, with a particular focus on engineering design. It provides fundamental definitions and notations, as well as background information on linear algebra, geometry, and calculus. The book presents an optimization viewpoint on global search techniques, covering genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. It also includes chapters on integer programming, linear matrix inequalities, and one-dimensional methods. Each chapter concludes with exercises, including MATLAB exercises and drill exercises to enhance understanding.

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    6."Introduction to Linear Optimization and Extensions with MATLAB" by Kwon
    “Introduction to Linear Optimization and Extensions with MATLAB” Book Review: The book serves as an introductory guide to linear programming and emphasizes strategies to address parameter uncertainty. It offers a clear, intuitive, and thorough introduction to contemporary linear optimization techniques, such as predictor-path following interior point methods for both linear and quadratic optimization, as well as optimization of uncertainty through stochastic programming with recourse and robust optimization. The book includes practical applications and case studies from finance and supply chain management that leverage MATLAB. It presents numerous examples and concludes with methods for modeling problems with uncertainty.

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    7."A Brief Introduction to Continuous Evolutionary Optimization" by Kramer
    “A Brief Introduction to Continuous Evolutionary Optimization” Book Review: The book delves into the challenging field of practical optimization problems that are frequently difficult to solve, especially when they are black boxes and only function evaluations are available. It explores the use of evolution strategies and parameter control and introduces an adaptive penalty function for constrained optimization. The book also showcases how meta-models can reduce the number of fitness and constraint function calls in expensive optimization problems. It further details a selection operator that leverages reference lines in objective space to optimize multiple conflicting objectives. In summary, the book presents the fundamental principles required for continuous evolutionary optimization in a reader-friendly manner.

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    8."Introduction To Nonlinear And Global Optimization" by Hendrix Eligius M T G
    “Introduction To Nonlinear And Global Optimization” Book Review: The book offers a comprehensive introduction to global and nonlinear optimization, making it a self-contained resource for students of mathematics and interdisciplinary sciences seeking a strong foundation in applied optimization techniques. The book takes a unique, hands-on, and critical approach to applied optimization, presenting numerous algorithms, examples, and illustrations to develop the analytical skills required to identify optimization problems, classify the structure of a model, and determine whether a solution satisfies optimality conditions. This makes the book an essential read for students, engineers, and practitioners alike.

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    9."Introduction to Computational Optimization Models for Production Planning in a Supply Chain" by David L Woodruff
    “Introduction to Computational Optimization Models for Production Planning in a Supply Chain” Book Review: This book provides a reader-friendly introduction to optimization models for production planning, followed by their application to well-known models such as MRP and MRP II. The book then progresses to develop advanced models for supply chain management, with a focus on practical implementation. The book’s unique feature is its emphasis on practical implementation, and it provides explicit examples of implementing basic models using a variety of popular and commercially available modeling languages.

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    2. Optimization

     
    1."Optimization: Theory and Practice" by G S G Beveridge and R S Schechter
    “Optimization: Theory and Practice” Book Review: This book offers a comprehensive introduction to the theory and practice of optimization. It covers key topics such as design vectors, constraints, objective functions, and constraint surfaces. The book also provides a detailed discussion of the classification of optimization problems, taking into account factors such as the nature of design variables, the physical structure of the problem, and the type of equations involved. In addition, the book provides an in-depth exploration of linear programming, including the simplex method.

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    2."Introduction to Optimization Techniques" by M Aoki
    “Introduction to Optimization Techniques” Book Review: The book offers a thorough introduction to optimization techniques, with a focus on mathematical programming. It covers the fundamental problem of maximizing a function under constraints, and delves into different solution concepts and techniques based on the nature of the problem. The book covers topics such as unconstrained maximization, classical programming, and linear and nonlinear programming for maximization. It also explores various applications of the mathematical programming problem throughout the book.

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    3."Optimization Techniques" by L R Foulds
    “Optimization Techniques” Book Review: This book offers a comprehensive introduction to optimization techniques, exploring the methods used to produce optimal solutions to problems. From the earliest contributions of Archimedes to contemporary approaches, the book covers a wide range of optimization techniques used in various disciplines. The author discusses interesting theoretical concepts and practical applications of optimization techniques. Additionally, the book delves into the daunting computational efforts involved in optimization, providing readers with a thorough understanding of the process.

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    4."A Gentle Introduction to Optimization" by B Guenin and J Könemann
    “A Gentle Introduction to Optimization” Book Review: This book offers a user-friendly and accessible introduction to optimization, highlighting its importance in solving problems in fields as varied as accounting, computer science, and engineering. It assumes basic knowledge of linear algebra and emphasizes core concepts. Its goal is to serve as a starting point for undergraduate students in their first and second years, regardless of their background or level of ability. The book provides a variety of contemporary, real-world examples to illustrate its concepts.

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    5."Combinatorial Optimization: Algorithms and Complexity" by Christos H Papadimitriou and Kenneth Steiglitz
    “Combinatorial Optimization: Algorithms and Complexity” Book Review: This book presents a comprehensive introduction to combinatorial optimization in a mathematically rigorous and accessible way. It covers various topics, including novel algorithmic exposition of the simplex method and the Soviet ellipsoid algorithm for linear programming, efficient algorithms for network flow, matching, spanning trees, and matroids, theory of NP complete problems, approximation algorithms, local search heuristics for NP complete problems, and more. The chapters are supplemented with thought-provoking problems. The book is designed for graduate-level students with backgrounds in computer science, operations research, and electrical engineering.

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    6."Optimization Models" by Giuseppe C Calafiore and Laurent El Ghaoui
    “Optimization Models” Book Review: This book offers a thorough examination of optimization models, with an emphasis on practical understanding rather than the technical aspects of particular algorithms. It provides an accessible introduction to the field, with a focus on powerful and dependable convex optimization methods. Its aim is to assist both students and practitioners in learning how to identify, simplify, model, and solve optimization problems, as well as to apply these principles to their own projects.

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    7."Numerical Optimization" by Jorge Nocedal and Stephen Wright
    “Numerical Optimization” Book Review: This book offers a comprehensive introduction to numerical optimization, covering various effective methods for continuous optimization that are particularly useful for practical problems. With a focus on modern applications in engineering, science, and business, it describes in detail several powerful and up-to-date techniques in continuous optimization. The book includes dedicated chapters on both nonlinear interior methods and derivative-free methods for optimization, which are widely used in practice.

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    8."Optimization: Algorithms and Applications" by Rajesh Kumar Arora
    “Optimization: Algorithms and Applications” Book Review: The book is a thorough guide to the subject of optimization, covering both the algorithms and their applications. It discusses a wide range of optimization techniques for both unconstrained and constrained problems, including both gradient and stochastic methods. The book covers various algorithms such as the conjugate gradient method, Broyden–Fletcher–Goldfarb–Shanno algorithm, and Powell method. It also includes discussions on methods such as penalty function, augmented Lagrange multiplier method, sequential quadratic programming, method of feasible directions, genetic algorithms, and many others.

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    9."Optimization" by Kenneth Lange
    “Optimization” Book Review: This book offers a balanced introduction to optimization techniques, presenting mathematical theory and numerical algorithms for solving finite-dimensional optimization problems. It covers a broad range of topics, including MM algorithm, block descent and ascent, convex calculus, calculus of variations, Fenchel conjugate, and subdifferentials. Advanced topics like exact penalty methods, duality, feasibility, and Bregman iteration are also covered. This rigorous exposition is accessible to graduate students in statistics, biostatistics, applied mathematics, computational biology, computer science, economics, and physics. The book includes statistical applications that will be of interest to graduate students of statistics and biostatistics.

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    10."State of the Art in Global Optimization" by P M Pardalos Professor Of Chemical Engineering
    “State of the Art in Global Optimization” Book Review: This book is a collection of research papers presented at the “State of the Art in Global Optimization: Computational Methods and Applications” conference held at Princeton University in 1995. It is intended for researchers in the field and covers a wide range of problems and challenges faced in global optimization, as well as the practical applications of global optimization techniques. The papers presented provide insights into the latest developments in the field and offer valuable perspectives for researchers working in related areas.

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    3. Principles of Optimization

     
    1."Linear Programming" by G Hadley
    “Linear Programming” Book Review: This book offers a comprehensive coverage of linear programming, with a focus on the major concepts and essential techniques. The chapters are organized around the simplex method, computational aspects of simplex method, duality theory, and network flows. It includes discussions on degeneracy problems and transportation problems, along with their respective resolution methods. Additionally, the book highlights real-world applications of linear programming, such as its use in solving industrial problems and in economic theory.

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    2."Non-linear and Dynamic Programming" by G Hadley
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    3."Classical Optimization: Foundations and Extensions" by M Panik
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    4."Optimization Theory and Applications" by S.S. Rao
    “Optimization Theory and Applications” Book Review: This book covers a range of optimization techniques and their applications, including linear, nonlinear, geometric, dynamic, integer, and stochastic programming. It also includes classical optimization techniques and addresses their development, computational aspects, and applications. The book is well-structured, self-contained, and concise, making it useful for students, researchers, professionals, and engineers.

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    5."Optimization Principles: Practical Applications to the Operation and Markets of the Electric Power Industry" by Narayan S Rau
    “Optimization Principles: Practical Applications to the Operation and Markets of the Electric Power Industry” Book Review: This book offers a theoretical and practical approach to various optimization topics and concepts. It covers both linear and nonlinear optimization methods, including optimal power flow, locational marginal prices for energy, and auction of hedging instruments. The book includes several applications of optimization to practical problems, such as system dispatch, market design, and material procurement. It is an ideal resource for power professionals, students, and engineers seeking a comprehensive understanding of optimization.

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    6."Multiobjective Optimization: Principles and Case Studies" by Yann Collette and Patrick Siarry
    “Multiobjective Optimization: Principles and Case Studies” Book Review: This book covers the fundamental principles and comprehension of various multiobjective optimization methods. Each chapter introduces three key applications for problem-solving: optimizing numerical simulations of industrial processes, sizing telecommunication networks, and decision-making tools for bid sorting. It also covers the challenges faced in research and management. Advanced learning concepts are explored throughout the text, providing a comprehensive resource for students and professionals. With its practical examples and theoretical foundations, this book offers valuable insights into multiobjective optimization and its applications in diverse fields.

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    7."Optimization: Principles and Algorithms" by Michel Bierlaire
    “Optimization: Principles and Algorithms” Book Review: The revised edition of this book covers the latest advancements and theories in the field of optimization. It is designed to provide a comprehensive understanding of the subject from the fundamentals. The book discusses various concepts and methodologies involved in optimization and provides a comparison of different methods and their applications. It is a valuable resource for students, researchers, professionals, and engineers seeking to enhance their knowledge and expertise in the field of optimization.

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    8."Manufacturing Engineering: Principles For Optimization" by Daniel T Koenig and T Koenig Daniel
    “Manufacturing Engineering: Principles For Optimization” Book Review: The book provides a comprehensive guide to optimization, covering both theoretical and practical aspects. It focuses on strategies essential for managing manufacturing engineering, providing readers with the tools to optimize manufacturing processes and procedures. This balanced text is an excellent resource for students pursuing a career in manufacturing engineering.

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    9."Importance Measures in Reliability, Risk, and Optimization: Principles and Applications" by Way Kuo and Xiaoyan Zhu
    “Importance Measures in Reliability, Risk, and Optimization: Principles and Applications” Book Review: The book is a comprehensive guide that covers the latest information and fundamental concepts of reliability, networks, risk, mathematical programming, and optimization. The chapters of this book showcase the numerical and practical applications of the featured methodologies in network analysis, multistate systems, and modern systems. It delves into risk analysis in nuclear power plants, cloud computing, and software reliability, among other topics. The book is replete with comparisons, examples, and case studies. Students, professionals, researchers, and practitioners involved in systems design, reliability, risk and optimization, statistics, maintenance, prognostics, and operations will find this book to be an excellent resource.

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    10."Multiobjective Optimization: Interactive and Evolutionary Approaches (Lecture Notes in Computer Science)" by Jürgen Branke and Kalyanmoy Deb
    “Multiobjective Optimization: Interactive and Evolutionary Approaches (Lecture Notes in Computer Science)” Book Review: This book is about a type of math called “multiobjective optimization”. It has 16 parts that talk about different ways to do multiobjective optimization. The book talks about things like how to use computers to help, how to show the results, and how to make sure the results are good. The book also talks about how people can use multiobjective optimization in real life, like in designing things. It also talks about what might be difficult in the future.

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    4. Design Optimization

     
    1."Optimization for Engineering Design: Algorithms and Examples" by Deb K
    “Optimization for Engineering Design: Algorithms and Examples” Book Review: This book explains various optimization algorithms used in computer-aided engineering design. It begins with a basic single-variable optimization technique and progresses to genetic algorithms and simulated annealing, which are commonly used to find global optimum solutions in engineering design problems. The book covers various topics like design and manufacturing, data fitting and regression, inverse problems, scheduling and routing, data mining, and intelligent system design. The algorithms are explained in a step-by-step format to help with coding in a computer language. The book includes worked-out examples for easy understanding.

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    2."Essentials of Thermal System Design and Optimization" by C Balaji
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    3."Multi-Objective Optimization using Evolutionary Algorithms" by Kalyanmoy Deb
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    4."Sound Systems: Design and Optimization: Modern Techniques and Tools for Sound System Design and Alignment" by Bob McCarthy
    “Sound Systems: Design and Optimization: Modern Techniques and Tools for Sound System Design and Alignment” Book Review: This book provides a practical and easy-to-understand view of sound systems. It covers the latest methods and techniques in the audio field and includes clear explanations, streamlined organization, and more coverage of current technologies. It helps readers make better design and optimization decisions by understanding how audiences perceive sound. The book also defines speaker array configurations and design strategies that can enhance spatial uniformity.

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    5."Thermal Design and Optimization" by Adrian Bejan and George Tsatsaronis
    “Thermal Design and Optimization” Book Review: The book presents new and practical methods for designing thermal systems, with a focus on engineering economics, system simulation, and optimization. It is in line with the recommendations of the Accreditation Board for Engineering and Technology for new design engineering courses. The topics covered include Introduction to Thermal System Design, Thermodynamics, Modeling, and Design Analysis, Exergy Analysis, Heat Transfer, Modeling, and Design Analysis, Applications with Heat and Fluid Flow, Applications with Thermodynamics and Heat and Fluid Flow, Economic Analysis, Thermoeconomic Analysis and Evaluation, Thermoeconomic Optimization. The book is designed for engineering students, practicing engineers, and technical managers who want to improve their skills in thermal system design.

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    6."Gemba Kaizen: A Commonsense Approach to a Continuous Improvement Strategy, Second Edition (Mechanical Engineering)" by Masaaki Imai
    “Gemba Kaizen: A Commonsense Approach to a Continuous Improvement Strategy, Second Edition (Mechanical Engineering)” Book Review: The book teaches how to make small improvements to important business processes in a cost-effective way. It gives examples of how different companies have used these methods. Unga Limited, a large flour-milling company in Kenya, was able to reduce inventory and increase capacity. Inoqe Hospital in Japan improved the quality of its services. Xuji Group Corporation, an electrical manufacturer in China, involved all its workers in quality improvement. The book uses the Japanese approach of continuous improvement, kaizen, to improve business performance in the place where the work happens, called the gemba. It covers topics like quality, cost, and delivery, workplace organization, visual management, and the roles of supervisors and managers in a lean workplace.

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    7."Design Optimization" by Syed Asfandyar and Muhammad Rafique
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    8."Design and Optimization of Thermal Systems" by Jaluria
    “Design and Optimization of Thermal Systems” Book Review: The book provides practical guidance to solve complex design problems. It includes basic concepts and procedures for conceptual design, formulation, modeling, simulation, feasible design, and optimization. The book also covers traditional and modern techniques such as manufacturability, material selection, and sensitivity. Additionally, it covers genetic and gradient search methods and highlights significant trends such as knowledge-based design methodology.

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    5. Convex Optimization

     
    1."Convex Optimization Theory" by Dimitri P Bertsekas
    “Convex Optimization Theory” Book Review: The book explains the theory of convex sets and functions in simple terms. It shows how to use them for optimization and duality theory. The book helps readers understand the mathematical principles of convexity. It explains how convex sets and functions can be described in points and hyperplanes. It teaches how to use convexity theory for solving constrained optimization problems. The book also explains Fenchel and conic duality, and game theory to help readers get a clearer understanding of duality results. The book is helpful for students, researchers and practitioners in mathematics and optimization.

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    2."Convex Optimization" by Stephen Boyd, Lieven Vandenberghe
    “Convex Optimization” Book Review: The book is a comprehensive guide to convex optimization and its engineering applications. It can be used as a main textbook or an alternate text for courses on linear or nonlinear optimization. The book covers a wide range of convex optimization problems that frequently occur in various fields, and it explains in detail how to solve these problems using numerical methods. The book emphasizes the importance of recognizing convex optimization problems and selecting the best technique to solve them. It includes many examples and exercises, making it useful for students, researchers, and practitioners in fields like engineering, computer science, math, statistics, finance, and economics.

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    3."Lagrange-type Functions in Constrained Non-Convex Optimization (Applied Optimization)" by Alexander M Rubinov and Xiao-qi Yang
    “Lagrange-type Functions in Constrained Non-Convex Optimization (Applied Optimization)” Book Review: The book provides a useful method for studying constrained optimization problems, which can be used as both a theoretical and computational tool. It presents recent and significant results in this area in a systematic and unified way. The book covers the duality and penalization approach to solving these problems and provides an analysis of the first and second-order optimality conditions. It also teaches readers how to generalize classical Lagrange and penalty functions for broad classes of optimization problems, making them suitable for both theoretical and computational purposes. This book is recommended for researchers and students in optimization and related fields.

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    4."Convex Optimization in Normed Spaces: Theory, Methods and Examples (SpringerBriefs in Optimization)" by Juan Peypouquet
    Convex Optimization in Normed Spaces Theory, Methods and Examples (SpringerBriefs in Optimization)” Book Review: This book is idealt for graduate students and researchers who want to learn about the theoretical and practical tools for minimizing convex functions on Hilbert spaces. It covers all the concepts related to convex optimization and includes the necessary tools to conduct independent research on the subject. The book is also useful for researchers in related fields and teachers who teach graduate-level courses on this topic. The book includes chapters on basic functional analysis, convex analysis, and subdifferential calculus.

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    5."Introductory Lectures on Convex Optimization: A Basic Course (Applied Optimization)" by Yurii Nesterov
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    6."Selected Applications of Convex Optimization (Springer Optimization and Its Applications)" by Li Li
    “Selected Applications of Convex Optimization (Springer Optimization and Its Applications)” Book Review: The book focuses on using convex optimization in various applications, such as support vector machines, parameter estimation, and norm approximation. It also covers topics like regularization, semi-definite programming, and geometric problems. The book helps readers to identify and solve practical convex optimization problems, and provides detailed derivations for better understanding. Additionally, the book offers exercises at the end of each chapter to test the reader’s understanding. It is a helpful resource for those seeking to apply convex optimization in their work.

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    7."Conjugate Duality in Convex Optimization (Lecture Notes in Economics and Mathematical Systems)" by Radu Ioan Bot
    “Conjugate Duality in Convex Optimization (Lecture Notes in Economics and Mathematical Systems)” Book Review: This book is focused on the theory of conjugate duality for convex optimization problems, highlighting its connections with convex analysis, nonlinear analysis, functional analysis, and the theory of monotone operators. The book presents new achievements and results in the field, and emphasizes the perturbation approach as a fundamental tool for developing conjugate duality theory. It offers deep insights into biconjugate calculus for convex functions and the relations between different strong duality notions. The book also covers unconventional Fenchel duality topics and the applications of convex duality theory in the field of monotone operators. It is a valuable resource for researchers and graduate students in related fields.

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    8."Convex Optimization Algorithms" by Dmitri P. Bertsekas
    “Convex Optimization Algorithms” Book Review: The book offers a clear and concise presentation of algorithms for solving convex optimization problems, with a focus on intuitive explanations and visualizations where possible. The readers gain an understanding of the theory behind various methods, including descent and approximation methods such as gradient and subgradient projection, cutting plane and simplicial decomposition, and proximal methods. The book also covers the modern theory of coordinate descent methods, including distributed asynchronous convergence analysis, and optimal algorithms based on extrapolation techniques, along with a thorough analysis of their rate of convergence. The numerous examples and illustrations, as well as exercise questions, make it an excellent resource for students and practitioners alike.
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    9."Lectures On Convex Sets" by Valeriu Soltan
    “Lectures On Convex Sets” Book Review: This book is an essential resource for researchers in convex geometry and can also serve as a valuable reference for graduate students and ambitious undergraduates in mathematics, optimization, and operations research. The book offers an extensive exploration of the algebraic and topological properties of convex sets, even in cases where they are not closed or unbounded. Its comprehensive treatment includes in-depth chapters on general properties of convex sets and convex hulls, cones and conic hulls, polyhedral sets, the extreme structure of convex sets, and support and separation properties. The exercises provided throughout the book help readers solidify their understanding of the concepts presented.

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    6. Numerical Optimization

     
    1."Numerical Optimization With Applications" by Jayadeva and Suresh Chandra
    “Numerical Optimization With Applications” Book Review: This book presents an extensive examination of various numerical optimization techniques and their applications in fields such as Science, Engineering, and Management. It covers traditional optimization methods and their common applications, while also addressing contemporary topics like Semidefinite Programming, Second Order Cone Programming, Evolutionary Methods, and Global optimization. Additionally, it explores modern and non-traditional applications of numerical optimization, such as in Machine Learning, VLSI Design/Electrical Circuits, and Financial Mathematics.

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    2."Numerical Methods and Optimization" by Hari Arora
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    3."Numerical Methods and Optimization Techniques for UoM (IV-Electrical-2012 course)" by DR J S CHITODE
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    4."Numerical Optimization: Theoretical and Practical Aspects (Universitext)" by Joseph-Frédéric Bonnans and Jean Charles Gilbert
    “Numerical Optimization: Theoretical and Practical Aspects (Universitext)” Book Review: The book offers a practical and intuitive introduction to optimization, demonstrating its ubiquitous nature in various fields. It provides an in-depth understanding of numerical algorithms with a tutorial-style approach, covering fundamental and advanced techniques for both unconstrained and constrained problems. The book also includes computational case studies that offer practical applications of optimization methods, enabling readers to gain a deeper understanding of the methods beyond their theoretical description.

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    5."Large Sparse Numerical Optimization (Lecture Notes in Computer Science)" by T F Coleman
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    6."Numerical Methods for Scientists and Engineers (Dover Books on Mathematics)" by Richard W Hamming
    “Numerical Methods for Scientists and Engineers (Dover Books on Mathematics)” Book Review: The book establishes a close link between the origin of a problem and the practicality of its solutions in computing. It avoids a focus on individual formulas and algorithms and instead provides a comprehensive exploration of alternative problem-solving approaches. The book addresses the issue of roundoff error and teaches readers how to avoid truncation errors. It also emphasizes the importance of feedback system stability, with a particular focus on frequency-based techniques for solving problems. Through its approach, the book offers readers a deep understanding of these topics and their applications.

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    7."Numerical Optimization and Swarm Intelligence for Optimization" by El-Shorbagy Mohammed A and El-Sawy Ahmed A
    “Numerical Optimization and Swarm Intelligence for Optimization” Book Review: This book explores the application of swarm intelligence and numerical optimization techniques for solving complex multiobjective engineering problems. It introduces a novel hybrid algorithm that combines trust region methods with particle swarm optimization for effective multiobjective optimization. The book focuses on the development and application of this algorithm in solving engineering component design problems, as well as the challenging problem of environmental economic dispatch. It offers a comprehensive and practical guide for researchers and practitioners in the field of swarm intelligence and numerical optimization.

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    8."Complexity In Numerical Optimization" by Panos M Pardalos
    “Complexity In Numerical Optimization” Book Review: This book comprises articles that explore recent advancements in complexity theory as applied to numerical optimization. The topics covered include complexity of approximation algorithms, novel polynomial-time algorithms for convex quadratic minimization, interior point algorithms, complexity issues related to test generation for NP-hard problems, scheduling problems, min-max, fractional combinatorial optimization, fixed-point computations, and network flow problems. The book offers a broad perspective on the current direction of research in this field.

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    9."Numerical Data Fitting in Dynamical Systems: A Practical Introduction with Applications and Software (Applied Optimization)" by Klaus Schittkowski
    “Numerical Data Fitting in Dynamical Systems: A Practical Introduction with Applications and Software (Applied Optimization)” Book Review: This book explores how mathematical models can be used to represent real-world phenomena in engineering, natural, or medical sciences, and how they can be analyzed numerically to gain insight into the system’s behavior. The book emphasizes the benefits of using mathematical models, such as the ability to verify decisions, avoid costly experimental tests, understand and explain system behavior, and optimize design and production. It also discusses methods for comparing measured data with predicted model function values and minimizing differences across the parameter space.

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    7. Structural Optimization

     
    1."Foundations of Structural Optimisation - A Unified Approach" by A J Morris
    Book Review: This book showcases the interdependencies between mathematical models and physical phenomena. It sheds light on the complex system of an aircraft and the implications that arise throughout the system. The book also presents methods for computing the design derivatives that are useful for both informal and formal optimization purposes. It outlines a technique for breaking down the design process into smaller tasks and integrating design tools for better results.

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    2."Engineering Optimisation Methods and Applications" by G V Reklaitis and K M Ragsdell
    Book Review: This book offers an introductory exploration of engineering optimization theory, providing practical and efficient solutions to problems encountered in design, operations, and analysis. With a focus on engineering applications, it delves into topics such as duality theory, interior point methods for solving LP problems, generalization of convex functions, and practical issues in model formulation, implementation, and starting point generation. The book also includes case studies and numerous examples from the fields of chemical, industrial, and mechanical engineering.

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    3."Structural Optimization: Dynamic and Seismic Applications" by Kevin Z Truman
    “Structural Optimization: Dynamic and Seismic Applications” Book Review: The book offers a well-balanced combination of both theoretical and practical aspects of structural optimization. It provides a detailed coverage of optimization techniques, design principles of structural elements and systems, dynamic loading, and seismic forces. The design processes and their outcomes are clearly explained in the book. Additionally, several examples are included to help readers grasp the concepts better. This book will be a valuable resource for students, researchers, and practicing engineers engaged in structural optimization design.

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    4."Optimization and Artificial Intelligence in Civil and Structural Engineering" by Topping
    “Optimization and Artificial Intelligence in Civil and Structural Engineering” Book Review: This book suggests that the book would be useful for both students and professionals in various engineering fields such as structural analysis and design, water resources engineering, geotechnical engineering, transportation, and environmental engineering. The book covers a range of topics including engineering design, optimization, optimal structural design, design of industrial buildings, integrated design, water resources, hazardous material management, and stream quality modeling. The book also explores knowledge-based systems and artificial intelligence techniques in this field. Additionally, the book focuses on recent developments in the field of optimization and artificial intelligence.

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    5."Optimization of Structural Systems and Industrial Applications" by Hernandez Brebbia
    “Optimization of Structural Systems and Industrial Applications” Book Review: This book is based on the proceedings of the Second International Conference on Computer Aided Optimum Design of Structures, which took place in Cambridge, USA in June 1991. It covers a wide range of topics related to optimization, such as mathematical techniques, optimal design, optimum control, sensitivity analysis, shape optimization, structural optimization, and expert systems. Additionally, it showcases various applications of structural optimization in different fields. The book also includes the latest developments and research in the field, as well as opportunities for future research in optimization.

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    6."Structural Sensitivity Analysis and Optimization" by K K Choi
    “Structural Sensitivity Analysis and Optimization” Book Review: This book offers a comprehensive understanding of design sensitivity analysis and its numerical implementation techniques, beginning with an overview of structural design and analysis. It then delves into design sensitivity analysis of both linear and non-linear structural systems, providing extensive numerical methods for computing design sensitivity for practical applications and software development. The book also introduces the use of CAD geometric models for design optimization. It features numerous figures and graphs to illustrate its content, making it an excellent resource for students studying structural engineering and mechanics.

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    7."Discrete Structural Optimization" by Gutkowski Bauer
    “Discrete Structural Optimization” Book Review: The book comprehensively examines various optimization problems and discusses their analyses. It covers topics such as optimizing damping of beams, optimizing structures composed of polar consecutive parts, using neuro-optimizers, topological design of structures, linear objective function optimization, and discrete optimization. The text also elaborates on various concepts, techniques, and methods including genetic algorithms, voting methods, and multipoint explicit approximations. Furthermore, the book highlights the practical applications of these techniques and their use in different systems. To aid in better comprehension, the book includes numerous figures, diagrams, and graphs.

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    8."Structural Optimization" by William R Spillers
    “Structural Optimization” Book Review: This book focuses on various types of geometry optimization problems encountered in mechanical structures such as sizing, shape, and topology optimization. The solutions to these problems are thoroughly explained with the help of formulations and various numerical solution methods. The book highlights methods such as sensitivity analysis, surface methods, surrogate models, and genetic algorithms. Several practical examples are included to enhance the theory and concepts presented in the text. The book is ideal for students and professionals of mechanical and structural engineering, as well as practicing engineers working with structural optimization software.

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    8. A First Course in Optimization

     
    1."Nonlinear Programming: Theory and Algorithms" by Mokhtar S Bazara and C M Shetty
    Book Review: The main focus of this book is to tackle the problem of optimization with the presence of both equality and inequality constraints. It provides an introduction to nonlinear programming and guides the readers through constructing a model with the help of examples. The book is structured to cover topological properties of convex sets, such as separation, support, polyhedral sets, and extreme points. Additionally, it presents algorithms and their convergence, including those for solving unconstrained and constrained nonlinear programming problems. The book is a valuable resource for individuals interested in nonlinear programming and optimization.

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    2."Practical Optimization" by Philip Gill and Walter Murray
    Book Review: The book covers various optimization methods like linear programming, unconstrained optimization, and nonlinear programming. It also provides an overview of the underlying theory and algorithms, and practical applications of optimization in different fields. The book features a wealth of examples, algorithms, and exercises to aid readers in understanding the material. It is suitable for students, researchers, and practitioners of optimization, as well as professionals in fields like engineering, economics, and operations research.

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    3."Nonlinear Programming" by Dimitri Bertsekas
    Book Review: The book extensively covers nonlinear optimization and iterative algorithms for constrained and unconstrained problems, along with other topics like Lagrange multipliers, duality, and continuous/discrete optimization interface. It also delves into interior point methods for linear programming, newer topics such as neural network training and discrete time optimal control, and large-scale optimization.

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    4."Numerical Linear Algebra and Optimization" by Philip Gill and Walter Murray and Margaret Wright
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    5."First Course in Optimization" by B Charles L. Byrne
    “A First Course in Optimization” Book Review: This textbook provides an introduction to continuous optimization and the essential mathematical concepts necessary to comprehend optimization techniques. The book is divided into 15 chapters and covers constrained and unconstrained optimization problems, as well as topics related to linear and convex programming. Basic iterative solution algorithms, such as gradient methods and the Newton-Raphson algorithm and its variations, are also discussed. The book also touches on advanced topics like continuous optimization and sequential unconstrained iterative optimization methods. The material is suitable for advanced undergraduate and graduate courses in science and engineering.

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    6."Post-Optimal Analysis in Linear Semi-Infinite Optimization" by Goberna Lopez
    “Post-Optimal Analysis in Linear Semi-Infinite Optimization” Book Review: This book focuses on the essential aspects of linear semi-infinite optimization, including uncertainty modeling, qualitative stability analysis, quantitative stability analysis, and sensitivity analysis. It offers a comparison of the post-optimal analysis with other approaches to uncertain linear semi-infinite optimization (LSIO) problems, providing readers with various options to model such problems based on the quality of data and availability of software. Additionally, it highlights open problems that are intriguing and challenging for researchers, graduate and post-graduate students interested in optimization, parametric optimization, and related fields. This book serves as a valuable resource for mathematics scholars and researchers.

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    7."A First Course in Combinatorial Optimization (Cambridge Texts in Applied Mathematics)" by S H Davis and Jon Lee
    “A First Course in Combinatorial Optimization” Book Review: This book presents a thorough introduction to combinatorial optimization with the use of matroids, viewed through a polyhedral lens. It covers essential topics such as linear and integer programming, matroids and matroid optimization, network flows, shortest paths, and polytopes. The text features solved examples and exercises that highlight important mathematical concepts leading to practical models and algorithms. It is an excellent resource for graduate students studying operations research, computer science, and mathematics.

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    8."A First Course in Optimization Theory" by Rangarajan K Sundaram Sundaram Rangarajan K
    “A First Course in Optimization Theory” Book Review: This book provides a comprehensive introduction to optimization theory and its applications in economics and related fields. It is divided into three parts. The first part focuses on the existence and identification of solutions to optimization problems in Rn. The second part explores how solutions to optimization problems change with variations in the underlying parameters. The final part covers the fundamentals of finite- and infinite-horizon dynamic programming. The book includes numerous examples and procedures that illustrate the concepts discussed. It will be a valuable resource for students and professionals in economics, mathematics, and related fields.

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    9."Noisy Optimization with Evolution Strategies (Genetic Algorithms and Evolutionary Computation)" by Dirk V Arnold
    “Noisy Optimization with Evolution Strategies” Book Review: This book examines the performance of evolution strategies for evolutionary optimization in the presence of noise. It systematically analyzes the impact of systematic fitness overvaluation, the benefits of distributed populations, and the potential of genetic repair for optimization in noisy environments. A comparison with other direct search algorithms confirms the relative strength of evolution strategies. The book is intended for practitioners and researchers in the field of evolutionary algorithms.

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    9. Linear and Nonlinear Optimization

     
    1."Linear and Nonlinear Programming" by David G Luenberger and Yinyu Ye
    “Linear and Nonlinear Programming” Book Review: The book covers linear programming, convex programming, duality, nonlinear programming, and applications to finance, engineering, and management. The text emphasizes the geometric intuition behind optimization theory and provides numerous examples and exercises to reinforce concepts. It also includes updated material on interior-point methods and semidefinite programming. The book is intended for graduate students and researchers in optimization, as well as practitioners in engineering and management fields.

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    2."Linear and Nonlinear Optimization" by Igor Griva and Stephen G Nash
    “Linear and Nonlinear Optimization” Book Review: This textbook that covers both linear and nonlinear optimization techniques. The book includes topics such as convex analysis, duality theory, interior-point methods, nonlinear programming algorithms, and integer programming. The authors also provide practical applications of optimization in fields such as engineering, economics, and finance. With numerous examples and exercises, this book is suitable for advanced undergraduate and graduate students in mathematics, engineering, and related fields, as well as for researchers and practitioners of optimization.

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    3."Time-Optimal Trajectory Planning for Redundant Robots: Joint Space Decomposition for Redundancy Resolution in Non-Linear Optimization (BestMasters)" by Alexander Reiter
    “Time-Optimal Trajectory Planning for Redundant Robots: Joint Space Decomposition for Redundancy Resolution in Non-Linear Optimization (BestMasters)” Book Review: This book explores joint space decomposition for redundancy resolution in non-linear optimization. The book focuses on time-optimal trajectory planning for redundant robots and presents various methods to solve the problem of reaching a target point in the shortest possible time. It includes detailed explanations of joint space decomposition, optimization methods, and practical applications. This book is ideal for researchers, graduate students, and practitioners in robotics, automation, and control engineering

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    4."An Introduction to Nonlinear Optimization Theory" by Marius Durea and Radu Strugariu
    “An Introduction to Nonlinear Optimization Theory” Book Review: The book presents the mathematical foundations of optimization techniques and introduces various methods for solving optimization problems. It also covers important topics such as unconstrained and constrained optimization, duality theory, and convex optimization. The authors provide detailed explanations and derivations of the key concepts and include numerous examples and exercises to aid in understanding. This book is suitable for advanced undergraduate and graduate students, as well as researchers and practitioners in the field of optimization.
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    5."Linear and Nonlinear Optimization" by Richard W Cottle and Mukund N Thapa
    “Linear and Nonlinear Optimization” Book Review: The book includes chapters on linear programming, convex analysis, duality theory, nonlinear programming, and integer programming. The authors provide clear explanations of concepts, with numerous examples and exercises that reinforce understanding. The book is suitable for undergraduate and graduate students of mathematics, engineering, and operations research, as well as practitioners who want to learn more about optimization methods and techniques.

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    6."Introduction to Linear Optimization (Athena Scientific Series in Optimization and Neural Computation, 6)" by Dimitris Bertsimas and John N Tsitsiklis
    “Introduction to Linear Optimization(Athena Scientific Series in Optimization and Neural Computation, 6)” Book Review: This book is a useful guide for students and practitioners alike to learn the fundamental concepts and techniques of linear optimization. The book covers important topics such as the simplex method, duality theory, interior-point methods, and sensitivity analysis. The authors provide many examples and exercises, as well as insights into the latest developments in linear optimization. This book is a valuable resource for anyone seeking to apply linear optimization to real-world problems, and it is suitable for advanced undergraduate and graduate courses in operations research, mathematics, and engineering.

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    7."Non-Linear Parametric Optimization" by KLATTE and GUDDAT
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    8."Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems (Nonlinear Systems and Complexity)" by Luis Vázquez and Salvador Jimenez
    “Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems (Nonlinear Systems and Complexity)” Book Review: This book that provides a unique perspective on nonlinear optimization problems using Newtonian dynamics. It covers the application of Newton’s laws to systems with linear and nonlinear constraints, and demonstrates how to use these dynamics to solve optimization problems. This book is suitable for researchers and graduate students in mathematics, physics, and engineering, as well as for practitioners interested in optimization problems from a dynamical systems point of view.

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    9."Nonlinear Optimization Applications Using the GAMS Technology (Springer Optimization and Its Applications)" by Neculai Andrei
    “Nonlinear Optimization Applications Using the GAMS Technology (Springer Optimization and Its Applications)” Book Review: This book delves into the practical applications of nonlinear optimization with the use of GAMS technology. It covers a wide range of topics including models of energy systems, environmental economics, and transportation planning. The book also highlights the flexibility and user-friendliness of GAMS and provides numerous examples to demonstrate the effective use of this technology. This book is ideal for researchers and practitioners of nonlinear optimization looking to apply their skills in practical and real-world scenarios.

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    10."Introduction to Non-linear Optimization (Computer Science)" by L E Scales
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    11."Nonlinear and Mixed Integer Optimization: Fundamentals and Applications" by Floudas C A
    “Nonlinear and Mixed Integer Optimization: Fundamentals and Applications” Book Review: This book presents various methods for solving nonlinear and mixed-integer optimization problems in the context of process synthesis. It is written for researchers and graduate students interested in continuous and discrete optimization, process synthesis, and applied mathematics. The book covers fundamental concepts in convex analysis and nonlinear optimization, as well as mixed-integer linear optimization. Additionally, readers will find detailed discussions on optimization-based approaches for the synthesis of heat recovery, distillation-based systems, and reactor-based systems. Each chapter includes illustrations, geometrical interpretations, and problems to enhance understanding of the material.

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    12."Multicriteria Design: Optimization and Identification (Applied Optimization)" by Roman Statnikov
    “Multicriteria Design: Optimization and Identification (Applied Optimization)” Book Review: This book offers an introduction to the Parameter Space Investigation (PSI) method, which is a powerful tool for multicriteria optimization in engineering. It features essays from experts in various industries where the PSI method has been applied successfully. The book provides practical examples and illustrations to explain the fundamentals of the PSI method. It is beneficial for research professionals and graduate students in aerospace engineering, electrical and electronic engineering, mechanics, mechanical engineering, and the mathematics of engineering who want to learn about the PSI method for the statement and solution of optimization problems.

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    10. Linear Programming and Optimization

     
    1."Optimization: Linear Programming" by B K Mishra and B N Mishra
    “Optimization: Linear Programming” Book Review: The book explains how to model real-world problems as linear programming problems and then solve them using various methods such as the simplex method, duality theory, and interior point methods. The authors provide numerous examples and exercises to help readers understand the concepts and apply them to real-life problems. This book is ideal for students of mathematics, engineering, and economics who want to learn about linear programming and its applications.

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    2."Linear Programming: Foundations and Extensions" by Robert J Vanderbei
    “Linear Programming: Foundations and Extensions” Book Review: This book is a comprehensive guide to the theory and applications of linear programming, aimed at advanced undergraduate and graduate students. The book covers a wide range of topics, including simplex method, duality theory, sensitivity analysis, network flow problems, and integer programming. The author also provides insights into more advanced topics such as interior-point methods and large-scale optimization. The book includes numerous examples and exercises, as well as computer codes in MATLAB, AMPL, and GAMS.

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    3."Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical Processes (MPS-SIAM Series on Optimization)" by Lorenz T Biegler
    “Nonlinear Programming: Concepts, Algorithms and Applications to Chemical Processes (MPS-SIAM Series on Optimization)” Book Review: This is an informative and useful book for anyone interested in optimization and its application to chemical processes. The book covers important concepts and algorithms related to nonlinear programming, and provides examples of their practical use in chemical engineering. The text is clear and easy to follow, making it accessible to both students and professionals.The book is a valuable resource for those seeking a deeper understanding of optimization techniques and their relevance to chemical engineering.

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    4."Applied Optimization with MATLAB Programming" by P Venkataraman
    “Applied Optimization with MATLAB Programming” Book Review: This book is a useful guide for those interested in learning about optimization techniques using MATLAB. The book provides a thorough overview of the mathematical concepts and algorithms used in optimization, along with practical examples and exercises that reinforce learning. The text is well-organized and easy to follow, making it accessible to both beginners and advanced users of MATLAB. This book is a valuable resource for anyone seeking to develop their skills in optimization using MATLAB.

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    5."Advances in Nonlinear Programming: Proceedings of the 96 International Conference on Nonlinear Programming (Applied Optimization)" by Ya-xiang Yuan
    “Advanced in Nonlinear Programming: Proceedings of the 96 International Conference on Nonlinear Programming (Applied Optimization)” Book Review: This book is a comprehensive collection of research papers in the field of nonlinear programming. The book covers a range of topics related to optimization, including theoretical developments and practical applications. The research presented in this volume is of high quality and provides valuable insights into the latest advances in the field.

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    6."Linear-Fractional Programming Theory, Methods, Applications and Software (Applied Optimization)" by E B Bajalinov
    “Linear-Fractional Programming Theory, Methods, Applications and Software (Applied Optimization)” Book Review: This book is a comprehensive guide to the theory and practical applications of linear-fractional programming. The book provides a thorough introduction to the mathematical concepts and algorithms used in linear-fractional programming, along with practical examples and software implementations. The text is well-written and accessible, making it a useful resource for students and professionals alike. This book is an excellent reference for anyone seeking to develop their skills in linear-fractional programming and its practical applications.

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    7."Introduction to Mathematical Optimization: From Linear Programming to Metaheuristics" by Xin-She Yang
    “Introduction to Mathematical Optimization: From Linear Programming to Metaheuristics” Book Review: This book offers a comprehensive explanation of mathematical optimization problem-solving techniques, including the Newton-Raphson method, steepest descent method, Hooke-Jeeves pattern search, and Lagrange multipliers. Additionally, it covers other optimization methods such as linear programming, particle swarm optimization, simulated annealing, and Tabu search. This resource provides readers with a comprehensive understanding of various optimization techniques and their practical applications.

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    11. Optimisation of System Reliability

     
    1."Optimisation and Probability in systems Engineering" by J G Rau
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    2."Optimization of Systems Reliability (Industrial Engineering)" by Frank A Tillman
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    3."Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers" by Anatoly Lisnianski and Ilia Frenkel
    “Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers” Book Review: This book offers a thorough examination of modern theories and processes related to reliability in multi-state systems. It covers a range of topics, including Multi-State Systems in Nature and in Engineering, Modern Stochastic Process Methods for Multi-state system Reliability and Assessment, Statistical Analysis of Reliability Data for Multi-State Systems, and Combined Universal Generating Function and Stochastic Process Method. The book includes case studies, mathematical analysis, and references for further study, providing a comprehensive overview of different theories and methods.

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    4."Multi-state System Reliability: Assessment, Optimization and Applications (Series on Quality, Reliability and Engineering Statistics)" by Anatoly Lisnianski and Gregory Levitin
    “Multi-state System Reliability: Assessment, Optimization and Applications (Series on Quality, Reliability and Engineering Statistics)” Book Review: This textbook offers a comprehensive examination of multi-state system reliability, with a focus on the analysis and optimization of real-world systems composed of multi-state components. The book provides a historical overview of the field, introduces basic concepts of multi-state systems, reliability measures, and tools for reliability assessment and optimization. It covers a range of methods for reliability assessment, including Boolean methods extension, basic random process methods such as Markov and semi-Markov, and universal generating function models. The book includes numerous numerical examples and applications, providing readers with a comprehensive learning experience and a strong foundation in modern advances in multi-state system reliability theory.

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    5."Biomechanics: Optimization, Uncertainties and Reliability (Reliability of Multiphysical Systems Set)" by Ghias Kharmanda and Abdelkhalak El Hami
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    6."Reliability and Optimization of Structural Systems" by Marc Maes and Luc Huyse
    “Reliability and Optimization of Structural Systems” Book Review: This book promotes modern structural system reliability and optimization theory and its practical applications. It presents algorithms for solving three classes of reliability-based optimal design problems in which the constraint function involves probability terms. The book covers a range of topics, including strategic principles for managing risk, load and extreme event models for highway bridges, seismic performance-based design, and applications to pile foundations. It also covers uncertainty probability estimates and an entropy-based measure of uncertainty. This book is a valuable resource for researchers and students seeking to develop their understanding of reliability-based optimization and its practical applications.

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    7."Advances in Reliability and Optimization of Structural Systems" by Dan M Frangopol and John Dalsgaard Sorensen
    “Advances in Reliability and Optimization of Structural Systems” Book Review: This book is a comprehensive guide to structural reliability methods and applications, engineering risk analysis, decision making, new optimization techniques, and their applications in civil engineering. It provides a stimulating reference for further research and development in structural system reliability and optimization theory. The book covers a range of topics, including managing bridge networks using reliability and multiple cost criteria, an improved hybrid method for reliability-based design optimization, reliability-based topology optimization of frame structures, SORM applied to hierarchical parallel systems, 3D modeling of corrosion crack opening, and statistical models for resistance of concrete components.

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    8."Reliability and Optimization of Structural Systems" by Rudiger Rackwitz and Guiliano Augusti
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    9."Novel Models and Algorithms for Systems Reliability Modeling and Optimization" by Dingzhou Cao
    “Novel Models and Algorithms for Systems Reliability Modeling and Optimization” Book Review: This book is about making sure a product is reliable and affordable during its entire life cycle. It focuses on “design for reliability” during the beginning stages of product development. It helps designers choose the best way to make a product reliable and meet their goals. The book talks about different ways to estimate reliability, such as Markov chains and Bayesian networks. It also suggests better ways to model the interactions between different parts of the product and how to repair it. The book has lots of information, examples, and data to help designers make the best choices for their products.

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    10."Reliability and Safety of Complex Technical Systems and Processes: Modeling – Identification – Prediction - Optimization" by imusti
    “Reliability and Safety of Complex Technical Systems and Processes: Modeling – Identification – Prediction – Optimization” Book Review: The book talks about how to make sure that systems are reliable and safe. It covers a lot of different topics, including how to analyze and evaluate complex systems that are used in industry. The book covers things like aging components, how to change and improve the safety and reliability of a system while it is operating, and how to manage costs related to complex technical systems. The book is useful for people who work in research or industry, as well as for technicians who need to make sure that complex systems are safe and reliable.

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    12. Simulation and Optimisation

     
    1."Optimisation: Theory and Applications" by S S Rao
    Book Review: This book teaches readers how to use optimization techniques commonly used in many industries. It covers the latest and traditional methods, as well as advanced principles and applications. The book covers various techniques related to nonlinear, linear, geometric, dynamic, and stochastic programming techniques. It also includes chapters on genetic algorithms, annealing, neural networks, and colony optimization. The book provides practice problems and review questions at the end of each chapter. It is useful for undergraduate and graduate students in the fields of civil, mechanical, chemical, and aerospace engineering.

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    2."Optimization Method for Engineering Design" by R L Fox
    “Optimization Method for Engineering Design” Book Review: This book introduces mathematical concepts used in operations research, with a particular emphasis on linear programming. It covers key aspects of operations research and is aimed at senior and lower graduate students. The book is focused on quantitative methods in management and includes detailed explanations of important topics. It serves as a useful reference for those studying operations research.

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    3."Introduction to Operations Research" by JM Kupfer Schmind and J G Ecker
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    4."Data Analysis, Optimization and Simulation Modeling" by Albright
    “Data Analysis, Optimization and Simulation Modeling” Book Review: This book is about learning the basics of Microsoft Excel. It is suitable for students and data analysts who want to improve their skills. The book covers different topics such as understanding variables and their relationships, importing and exporting data in Excel, and working with tables using statistical functions and pivot tables. Each chapter includes conceptual questions to help readers understand and apply the concepts.

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    5."Financial Models Using Simulation and Optimization: A Step-By-Step Guide With Excel and Palisade's Decisiontools Software" by Wayne L Winston
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    6."Financial Models Using Simulation and Optimization II" by Wayne L Winston
    “Financial Models Using Simulation and Optimization II” Book Review: This book focuses on using simulation and optimization techniques in financial analysis. It is useful for undergraduates, MBAs, and financial professionals. The book highlights RISK, EVOLVER, and Excel as important tools for financial modeling. The topics covered include modeling future stock prices, portfolio optimization, pricing analysis, and marketing models. The concepts are reinforced with real-life examples.

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    7."Simulation and Optimization: Proceedings of the International Workshop on Computationally Intensive Methods in Simulation" by Georg Pflug and Ulrich Dieter
    “Simulation and Optimization: Proceedings of the International Workshop on Computationally Intensive Methods in Simulation” Book Review: This book is a collection of research papers from the International Workshop on Computationally Intensive Methods in Simulation and Optimization. It is aimed at advanced students, researchers, and scientists. The book covers recent developments in optimization in uncertain environments, with applications in finance. It also discusses optimal decision-making strategies when only partial information about the future is available.

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    8."Simulation and Optimization (Institute of Mathematics and its Applications Conference Series (New Series))" by Andrzej J Osiadacz
    “Simulation and Optimization (Institute of Mathematics and its Applications Conference Series (New Series))” Book Review: This book covers a diverse range of theories on simulation and optimization techniques that would be of interest to engineers and researchers. It is a compilation of research papers presented by scientists in the field, highlighting specialized techniques for solving large systems. The book also discusses the practical applications of these techniques in areas such as gas networks, power systems, telecommunication networks, chemical plants, the aerospace industry, and meteorology.

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    9."Applied Simulation and Optimization: In Logistics, Industrial and Aeronautical Practice" by Miguel Mujica Mota and Idalia Flores De La Mota
    “Applied Simulation and Optimization: In Logistics, Industrial and Aeronautical Practice” Book Review: This book explores the use of simulation and optimization methods in different industries. It is suitable for professionals, students, and researchers. The book covers several problems and how simulation and optimization techniques can help minimize them in areas such as manufacturing, logistics, and aeronautics. The book features hybrid techniques that use both simulation and optimization methods. Topics discussed include scheduling, routing, and resource allocation in the service industry, production processes, and supply chains.

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    10."Handbook of Simulation Optimization" by Michael C Fu
    “Handbook of Simulation Optimization” Book Review: This book covers a wide range of simulation optimization topics and is intended for students, practitioners, and researchers in the fields of business and engineering. The book discusses both traditional and modern approaches to optimize stochastic simulation models, as well as recent technological advances. Topics covered include random search methods, response surface methodology, stochastic gradient estimation, stochastic approximation, sample average approximation, stochastic constraints, variance reduction techniques, model-based stochastic search methods, and Markov decision processes.

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    13. Advanced Topics in Discrete Optimization

     
    1."Geometric Algorithms and Combinatorial Optimization" by M. Gr ̈tschel
    Book Review: The focus of this book is on the theory and algorithms of linear and integer programming, with an emphasis on complexity analysis. It covers recent advancements in this field and is intended for graduate students and researchers in operations research, mathematics, and computer science. The book covers a range of topics, including linear algebra and its complexity, lattice theory, algorithms for Diophantine equations, polyhedral structure, polarity, and blocking, among others.

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    2."Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games" by Tomas Prieto-Rumeau
    “Selected Topics on Continuous-Time Controlled Markov Chains and Markov Games” Book Review: The book provides an in-depth understanding of continuous-time controlled Markov chains and Markov games and their applications in various fields such as economics, operations research, engineering, and computer science. It focuses on the key features of these models, such as the continuous time variable, denumerable state space, control sets, and Borel spaces. The book also covers advanced optimality criteria like bias, variance, sensitive discount, and Blackwell optimality, and thoroughly explains how to characterize the optimal reward functions and policies for each optimality criterion. The text includes numerous exercises, problems, and solutions, making it ideal for graduate students and researchers in the fields of mathematics, engineering, and computer science.

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    3."Geometry of Numbers" by C Lekkerkerker and P Gruber
    Book Review: This book covers the study of the geometry of numbers and its connections to other branches of mathematics such as analytic number theory, Diophantine approximation, coding theory, and numerical analysis. It delves into the theory of convex and non-convex bodies and lattices in Euclidean space. Additionally, the book presents recent advancements in the field of geometry of numbers with updated chapters. The progress made in this area and future expected results are also demonstrated. This book is suitable for students and researchers interested in mathematics, particularly in geometry and number theory.

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    4."Optimization Over Integers" by D Bertsimas and R Weismantel
    Book Review: This book is organized into four parts: formulations and relaxations, algebra and geometry of integer optimization, integer optimization algorithms, and extensions of integer optimization. The book showcases the development of the theory through integral generating sets and highlights strong formulations, duality, and relaxations. It also explores the applications of lattices and algebraic geometry to integer optimization. Enumerative and heuristic methods are covered in depth, and the book includes a wealth of examples and exercises. Suitable for graduate students and researchers in operations research, mathematics, and computer science, this book provides a unified and thorough approach to the field of integer optimization.

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    5."Algebraic and Geometric Ideas in the Theory of Discrete Optimization" by J De Loera and M K ̈ppe
    Book Review: This book presents the most recent developments in the mathematical theory of discrete optimization, incorporating methods from commutative algebra, algebraic geometry, convex and discrete geometry, and generating functions, among other optimization tools. It covers cutting-edge research technologies and provides various techniques for understanding these methods, transitioning from linear discrete optimization to nonlinear discrete optimization. The book is ideal for advanced graduate students in the fields of mathematics, computer science, and operations research.

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    6."Discrete Optimization: The State of the Art" by Boros Endre
    “Discrete Optimization: This book provides a thorough and up-to-date examination of discrete optimization, encompassing theoretical, computational, and applied aspects. The past two decades of significant progress in this field are comprehensively discussed, covering topics such as neighborhood search techniques, lift and project for mixed 0-1 programming, pseudo-Boolean optimization, scheduling and assignment problems, production planning, location, bin packing, cutting planes, vehicle routing, and applications to graph theory, mechanics, and chip design. The book includes modern surveys authored by leading researchers in the field, making it an excellent resource for advanced students and researchers in optimization and related fields.

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    7."Discrete Optimization" by G L Nemhauser
    “Discrete Optimization” Book Review: This well-structured book covers the latest methodological developments in transportation operations. It explores the relationship between transportation and management science, and provides comprehensive coverage of transportation modes such as air travel, automobiles, public transit, and maritime transport. The book highlights recent research and theoretical and algorithmic developments in transportation, including an article on the early history of discrete optimization. It will be a valuable resource for researchers, students, and practitioners in the transportation industry.

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    8."Progress in Combinatorial Optimization" by A Ridha Mahjoub
    “Progress in Combinatorial Optimization” Book Review: This book is a newly revised and updated edition that covers the latest trends and developments in combinatorial optimization. It provides insights into the applications of combinatorial optimization in various fields such as network design, communications, VLSI, production, scheduling, and computational biology. The book also presents the latest concepts, theory, advances, and results in areas like submodularity function minimization, computational complexity, cutting-plane based methods, and approximation algorithms. It offers more efficient and powerful methods for solving real-world problems. This book will be helpful for researchers, students, and practitioners who are interested in combinatorial optimization.

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    9."Ordinal Optimization" by Jia Zhao Ho
    “Ordinal Optimization” Book Review: This book presents simulation models and computation-intensive models as tools to optimize complex systems. It includes stochastic effects and discrete choices for problem-solving. The book emphasizes the advantages of using the “softer” ordinal approach for search-based type problems. The book also includes general properties of the ordinal approach and orders of magnitude improvement in computational efficiency. This book is a valuable resource for engineers and designers dealing with optimization of complex problems.

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    10."Combinatorial Optimization : Theory And Algorithms" by Jens Vygen and Bernhard Korte
    “Combinatorial Optimization: Theory And Algorithms” Book Review: This book provides a comprehensive overview of the important topics related to Combinatorial Optimization. It includes detailed theory, major techniques, algorithms, and concise proofs of the featured topics, as well as many deep results. In addition, a new chapter on facility location problems has been added to the book. The latest exercises and some new topics, such as linear programming, the network simplex algorithm, and the max-cut problem, have also been included. This book will serve as an excellent reference for researchers, practitioners, and students interested in combinatorial optimization.

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    We have put a lot of effort into researching the best books on Optimization and came out with a recommended list and their reviews. If any more book needs to be added to this list, please email us. We are working on free pdf downloads for books on Optimization and will publish the download link here. Fill out this Optimization books pdf download" request form for download notification.

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