This undergraduate textbook introduces students of science and engineering to the fascinating field of optimization. It is a unique book that brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible introduction to linear programming, nonlinear programming, numerical optimization algorithms, variational problems, dynamic programming, and optimal control. Prerequisites have been kept to a minimum, although a basic knowledge of calculus, linear algebra, and differential equations is assumed.
Series Preface*Preface*Introduction*Linear Programming*Nonlinear Programming* Approximation Techniques*Variational Problems and Dynamic Programming*Optimal Control*References*Index
From the reviews:
This is an introductory text on optimization methods written for students of science and engineering. & The variety of the different optimization tasks is illustrated in the introductory chapter by several concrete examples. The basic ideas and techniques for solving the different types of optimization problems are motivated by using many examples and illustrations. Hence, this book is suitable for readers who want to get first information about optimization and optimization techniques & . (K. Marti, ZAMM Zeitschrift f?r Angewandte Mathematik und Mechanik, Vol. 84 (10-11), 2004)
This book aims at providing undergraduate students and graduate beginners in science and engineering with a general overview of optimization theory. & The book is well written and reads easily & . Each chapter is followed by a series of exercises, and a selective bibliography & . The book will be suitable for a self-study of optimization or to support a general introductory course. It is likely to also serve aslĂ^