Optimization and approximation

✍ Scribed by Pedregal, Pablo

• Publisher: Springer
• Year: 2017
• Tongue: English
• Leaves: 261
• Series: Unitext 108
• Category: Library

✦ Synopsis

This book provides a basic, initial resource, introducing science and engineering students to the field of optimization. It covers three main areas: mathematical programming, calculus of variations and optimal control, highlighting the ideas and concepts and offering insights into the importance of optimality conditions in each area. It also systematically presents affordable approximation methods. Exercises at various levels have been included to support the learning process.

✦ Table of Contents

Front Matter ....Pages i-xiii
Overview (Pablo Pedregal)....Pages 1-7
Front Matter ....Pages 9-9
Linear Programming (Pablo Pedregal)....Pages 11-32
Nonlinear Programming (Pablo Pedregal)....Pages 33-62
Numerical Approximation (Pablo Pedregal)....Pages 63-86
Front Matter ....Pages 87-87
Basic Theory for Variational Problems (Pablo Pedregal)....Pages 89-114
Numerical Approximation of Variational Problems (Pablo Pedregal)....Pages 115-135
Front Matter ....Pages 137-137
Basic Facts About Optimal Control (Pablo Pedregal)....Pages 139-166
Numerical Approximation of Basic Optimal Control Problems, and Dynamic Programming (Pablo Pedregal)....Pages 167-190
Front Matter ....Pages 191-191
Hints and Solutions to Exercises (Pablo Pedregal)....Pages 193-254

✦ Subjects

Mathematical optimization