Kindly note that we have put a lot of effort into researching the best books on Non Linear Programming 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 "Non Linear Programming" 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. “Nonlinear Programming: Theory and Algorithms” by Hanif D Sherali & C M Shetty Mokhtar S Bazaraa  
2. “An Introduction to Nonlinear Optimization Theory” by Marius Durea and Radu Strugariu  
3. “Linear and Nonlinear Programming” by David G Luenberger and Yinyu Ye
“Linear and Nonlinear Programming” Book Review: This book provides the main concepts of practical optimization techniques. It presents an emphasis on methods that are both modern and popular. This book discusses the relation between the purely analytical character of an optimization problem and the behavior of algorithms used to solve a problem. It further demonstrates this relationship. This book includes the main elements of the underlying theory of linear programming. It covers several of the most effective numerical algorithms. It also provides numerous important special applications.


4. “Nonlinear Programming: Analysis and Methods (Dover Books on Computer Science)” by Mordecai Avriel
“Nonlinear Programming: Analysis and Methods (Dover Books on Computer Science)” Book Review: This book presents a singlevolume treatment of important algorithms and theories. It provides clear descriptions of all theoretical aspects, with rigorous proof of most results. It discusses convex programming, duality, generalized convexity. This book analyzes chosen nonlinear programs. It considers techniques for numerical solutions and unconstrained optimization methods. It includes commonly used algorithms for constrained nonlinear optimization problems.


5. “The Mathematics of Nonlinear Programming (Undergraduate Texts in Mathematics)” by Anthony L Peressini and Francis E Sullivan
“The Mathematics of Nonlinear Programming (Undergraduate Texts in Mathematics)” Book Review: This book presents techniques involved in the optimization methods. These are presented using calculus, leading to the study of convexity. This book covers basic numerical methods, least squares, the KarushKuhnTucker theorem. It also includes penalty functions, and Lagrange multipliers. This book focuses on the student who has a working knowledge of matrix algebra and advanced calculus.it provides an exposure to applicable mathematics, numerical analysis, and computing.
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6. “Nonlinear Programming: Theory and Algorithms” by Mokhtar S Bazaraa and Hanif D Sherali  
7. “Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical Processes (MPSSIAM Series on Optimization)” by Lorenz T Biegler
“Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical Processes (MPSSIAM Series on Optimization)” Book Review: This book serves the chemical engineers who wish to understand and use nonlinear programming. This book provides current nonlinear programming concepts and algorithms. It discusses their application to challenging applications in chemical process engineering. This book fills the gap between the mathematical material and the practical uses. It explains how existing NLP methods can be extended to exploit specific structures of largescale optimisation models. It lets us understand process engineering problems and develop better approaches to solving them.


8. “Linear and Nonlinear Programming (International Series in Operations Research & Management Science)” by David G Luenberger and Yinyu Ye
“Linear and Nonlinear Programming (International Series in Operations Research & Management Science)” Book Review: This book covers the main concepts of practical optimization techniques. It provides the emphasis on methods that are both modern and popular. This book presents the connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve a problem. The current edition expands and further demonstrates this connection. This book covers the central elements of the underlying theory of linear programming. It provides the theory of unconstrained optimization. It includes derivations of the appropriate optimality conditions and an introduction to basic algorithms.


9. “Methods of Mathematical Economics: Linear and Nonlinear Programming, FixedPoint Theorems (Undergraduate Texts in Mathematics)” by Joel N Franklin  
10. “Applied Nonlinear Programming” by Sanjay Sharma
“Applied Nonlinear Programming” Book Review: This book serves as a textbook for the undergraduate and graduate students. It also acts as a reference guide for the practitioners. This book describes applied nonlinear programming. It has widespread scientific and industrial applications. It discusses topics like one variable optimization, unconstrained and constrained optimization. It also considers geometric programming, multivariable optimization.
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