Best Reference Books – Optimization

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We have compiled the list of Top 10 Best Reference Books on Optimization subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Optimization along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Optimization subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Optimization" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “Optimization: Theory and Practice” by G S G Beveridge and R S Schechter

“Optimization: Theory and Practice” Book Review: This book provides a fundamental overview on optimization. It discusses the subject in terms of theory and practice. It contains statements of optimization problems like design vector, constraints, constraint surface, objective function, and objective function surfaces. It talks about classification of optimization problems which are based on the existence of constraints, nature of design variables, physical structure of the problem, nature of equations involved, and much more. It talks about linear pair programming which is covered in depth including simplex method.

2. “Introduction to Optimization Techniques” by M Aoki

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“Introduction to Optimization Techniques” Book Review: This book provides a comprehensive overview on introduction to optimization techniques. It gives detailed information on mathematical programming. It refers to the basic mathematical problem of maximizing a function subject to constraints. The techniques defined consider the nature of this problem and its various solution concepts. It talks about unconstrained maximization, classical programming problem of maximization, linear and nonlinear programming problem of maximization. It talks about numerous applications of the mathematical programming problem in the book.

3. “Optimization Techniques” by L R Foulds

“Optimization Techniques” Book Review: This book provides a fundamental overview on optimization techniques. It talks about the processes by which the optimal solution to a problem or optimum is produced. It talks about a host of contributions all the way from Archimedes to the present day. It describes optimization techniques across many disciplines. It describes interesting concepts from a theoretical point of view and from some practical use. It talks about ways involved in a daunting amount of computational effort for optimization.

4. “A Gentle Introduction to Optimization” by B Guenin and J Könemann

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“A Gentle Introduction to Optimization” Book Review: This book provides a gentle introduction to optimization. It describes it as an essential technique for solving many problems in areas as diverse as accounting, computer science and engineering. It assumes basic linear algebra and with clear focus on the fundamental concepts. This book is designed to act as a starting point for first year and second year undergraduate students from a wide range of backgrounds and with varying levels of ability. It provides numerous modern, real world examples throughout the text.

5. “Convex Optimization” by Stephen Boyd and Lieven Vandenberghe

“Convex Optimization” Book Review: This book provides a fundamental overview on convex optimization. It discusses the numerous problems that arise frequently in different fields. It shows in detail how these problems can be solved numerically with great efficiency. It focuses on recognizing convex optimization problems and in finding the most appropriate technique for solving them. It contains many examples and homework exercises and will help students, researchers, and practitioners in fields of engineering, computer science, mathematics, statistics, finance, and economics.

6. “Combinatorial Optimization: Algorithms and Complexity” by Christos H Papadimitriou and Kenneth Steiglitz

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“Combinatorial Optimization: Algorithms and Complexity” Book Review: This book provides a fundamental overview on combinatorial optimization. It is clearly written in a mathematically rigorous manner. It includes novel algorithmic exposition of the simplex method. It discusses the Soviet ellipsoid algorithm for linear programming. It talks about the efficient algorithms for network flow, matching, spanning trees, and matroids. It discusses the theory of NP complete problems, approximation algorithms, local search heuristics for NP complete problems, more. All chapters are supplemented by thought provoking problems. This book is designed to focus on graduate level students with backgrounds in computer science, operations research, and electrical engineering.

7. “Optimization Models” by Giuseppe C Calafiore and Laurent El Ghaoui

“Optimization Models” Book Review: This book provides a detailed overview on optimization models. It emphasizes on practical understanding over the technicalities of specific algorithms. It gives an accessible introduction to the field of optimization. It focuses on powerful and reliable convex optimization techniques. It is designed to help students and practitioners to learn how to recognize, simplify, model, and solve optimization problems. It helps the reader apply these principles to their own projects.

8. “Numerical Optimization” by Jorge Nocedal and Stephen Wright

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“Numerical Optimization” Book Review: This book provides a fundamental overview on numerical optimization. It presents a detailed and up-to-date description of several effective methods in continuous optimization. It shows how optimization has growing interest in engineering, science, and business. It pays special attention to the methods that are best suited to practical problems. It contains chapters on nonlinear interior methods and derivative-free methods for optimization. It shows how both methods are used widely in practice.

9. “A First Course in Optimization Theory” by Rangarajan K Sundaram

“A First Course in Optimization Theory” Book Review: This book provides a fundamental overview on optimization theory. It introduces the reader to optimization theory and its use in economics and allied disciplines. The first part talks about the existence of solutions to optimization problems. It discusses how these solutions may be identified in the real world. The second part of the book explores how optimization solutions to problems change with changes in the underlying parameters. It provides an extensive description of the principles of finite- and infinite-horizon dynamic programming.

10. “Optimization: Algorithms and Applications” by Rajesh Kumar Arora

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“Optimization: Algorithms and Applications” Book Review: The book provides a comprehensive overview on optimization. It covers algorithms and applications of optimization. It talks about both gradient and stochastic methods as solution techniques in the field of unconstrained and constrained optimization problems. It describes the conjugate gradient method, Broyden–Fletcher–Goldfarb–Shanno algorithm, Powell method, and much more. It discusses penalty function, augmented Lagrange multiplier method, sequential quadratic programming, method of feasible directions, genetic algorithms, and others.

11. “Optimization” by Kenneth Lange

“Optimization” Book Review: This book provides a fundamental overview on optimization. It talks about finite-dimensional optimization problems which occur throughout the mathematical sciences. It attempts to strike a balance between presentation of mathematical theory and development of numerical algorithms. It provides a rigorous exposition without undue abstraction. It talks about statistical applications which will be appealing to graduate students of statistics and biostatistics. It is designed for students and teachers in the field of applied mathematics, computational biology, computer science, economics, and physics.

People who are searching for Free downloads of books and free pdf copies of these top 10 books on Optimization – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

We have created a collection of best reference books on "Optimization" so that one can readily see the list of top books on "Optimization" and buy the books either online or offline.

If any more book needs to be added to the list of best books on Optimization subject, please let us know.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter