Authors:
- Covers the main three areas of optimization: mathematical programming (linear and non-linear), basic calculus of variations and basic optimal control
- Easy-to-implement approximation mechanisms treated systematically across all areas of optimization
- Demonstrates how to approximate optimal solutions to problems that are hard to solve manually
- Includes supplementary material: sn.pub/extras
Part of the book series: UNITEXT (UNITEXT, volume 108)
Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (9 chapters)
-
Front Matter
-
Mathematical Programming
-
Front Matter
-
-
Variational Problems
-
Front Matter
-
-
Optimal Control
-
Front Matter
-
-
Appendix
-
Front Matter
-
About this book
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.
Reviews
Authors and Affiliations
-
Department of Mathematics, University of Castile-La Mancha, Ciudad Real, Spain
Pablo Pedregal
About the author
Pablo Pedregal studied Mathematics at U. Complutense (1986) and received his PhD degree from the University of Minnesota at the end of 1989, under the guidance of D. Kinderlehrer. In 1990 he became associate professor at U. Complutense. During the academic year 1994-95 he moved to the young U. de Castilla-La Mancha, and in 1997 he won a full professorship. His field of interest focuses on variational techniques applied to optimization in a broad sense, including, but not limited to, calculus of variations -especially vector, non convex problems, optimal design in continuous media, optimal control, etc, and more recently he has explored variational ideas in areas like controllability, inverse problems, PDEs, and dynamical systems. Since his doctorate, he has regularly traveled to research centers in the USA and Europe. He has written more than one hundred research articles, and several specialized books.
Bibliographic Information
Book Title: Optimization and Approximation
Authors: Pablo Pedregal
Series Title: UNITEXT
DOI: https://doi.org/10.1007/978-3-319-64843-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-64842-2Published: 19 September 2017
eBook ISBN: 978-3-319-64843-9Published: 07 September 2017
Series ISSN: 2038-5714
Series E-ISSN: 2532-3318
Edition Number: 1
Number of Pages: XIII, 254
Number of Illustrations: 56 b/w illustrations
Topics: Calculus of Variations and Optimal Control; Optimization, Mathematical and Computational Engineering, Approximations and Expansions, Programming Techniques