Introduction to Optimization

✍ Scribed by Pablo Pedregal (auth.)

• Publisher: Springer-Verlag New York
• Year: 2004
• Tongue: English
• Leaves: 251
• Series: Texts in Applied Mathematics 46
• Edition: 1
• Category: Library

✦ Synopsis

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 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.

There are numerous examples, illustrations, and exercises throughout the text, making it an ideal book for self-study. Applied mathematicians, physicists, engineers, and scientists will find this introduction to optimization extremely useful.

✦ Table of Contents

Front Matter....Pages i-x
Introduction....Pages 1-21
Linear Programming....Pages 23-66
Nonlinear Programming....Pages 67-110
Approximation Techniques....Pages 111-135
Variational Problems and Dynamic Programming....Pages 137-194
Optimal Control....Pages 195-236
Back Matter....Pages 237-246

✦ Subjects

Optimization;Theoretical, Mathematical and Computational Physics;Microwaves, RF and Optical Engineering;Operation Research/Decision Theory