Ebook: Introduction to Optimization
Author: Pablo Pedregal (auth.)
- Tags: Optimization, Theoretical Mathematical and Computational Physics, Microwaves RF and Optical Engineering, Operation Research/Decision Theory
- Series: Texts in Applied Mathematics 46
- Year: 2004
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
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 237-245
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.
Content:
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 237-245
....