Optimization and Approximation

Pablo Pedregal (Autor)

Buch | Softcover

XIII, 254 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-64842-2 (ISBN)

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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.

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.

1 Overview. Part I Mathematical Programming. - 2 Linear Programming.- 3 Nonlinear programming.- 4 Numerical approximation.- Part II Variational problems.- 5 Basic theory for variational problems 6 Numerical approximation of variational problems.- Part III Optimal Control.- 7 Basic facts about optimal control . 8 Numerical approximation of basic optimal control problems, and dynamic programming. Part IV Appendix.- 9 Hints and solutions to exercises.

"This book, consisting of eight chapters, provides an introduction to optimization aimed at engineering and science students. ... This book is equally suitable to those without prior knowledge in the field as well as those already familiar with the key concepts as a useful reference. The book concludes with a very useful appendix containing hints or full solutions to the exercises presented throughout the book." (Efstratios Rappos, zbMATH 1375.90002, 2018)

Erscheinungsdatum	29.09.2017
Reihe/Serie	La Matematica per il 3+2
Reihe/Serie	UNITEXT
Zusatzinfo	XIII, 254 p. 56 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	410 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	approximation methods • Approximations and Expansions • Calculus of Variations • Calculus of Variations and Optimal Control • Computer programming / software engineering • Differential calculus & equations • Differential calculus & equations • Linear Programming • Mathematics • mathematics and statistics • Maths for engineers • Nonlinear Programming • optimal control • Optimization • Programming Techniques • Variational Problems
ISBN-10	3-319-64842-X / 331964842X
ISBN-13	978-3-319-64842-2 / 9783319648422
Zustand	Neuware