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Optimization and Approximation
Taschenbuch von Pablo Pedregal
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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.

Zusammenfassung

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: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2017
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: La Matematica per il 3+2
Inhalt: xiii
254 S.
56 s/w Illustr.
254 p. 56 illus.
ISBN-13: 9783319648422
ISBN-10: 331964842X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Pedregal, Pablo
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
La Matematica per il 3+2
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 235 x 155 x 14 mm
Von/Mit: Pablo Pedregal
Erscheinungsdatum: 19.09.2017
Gewicht: 0,46 kg
Artikel-ID: 109802427
Über den Autor

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.

Zusammenfassung

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: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2017
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: La Matematica per il 3+2
Inhalt: xiii
254 S.
56 s/w Illustr.
254 p. 56 illus.
ISBN-13: 9783319648422
ISBN-10: 331964842X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Pedregal, Pablo
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
La Matematica per il 3+2
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 235 x 155 x 14 mm
Von/Mit: Pablo Pedregal
Erscheinungsdatum: 19.09.2017
Gewicht: 0,46 kg
Artikel-ID: 109802427
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