Optimization and Approximation
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ISBN-13:
9783319648422
Veröffentl:
2017
Einband:
Paperback
Erscheinungsdatum:
19.09.2017
Seiten:
268
Autor:
Pablo Pedregal
Gewicht:
460 g
Format:
235x155x14 mm
Serie:
108, La Matematica per il 3+2
Sprache:
Englisch
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.
Covers the main three areas of optimization: mathematical programming (linear and non-linear), basic calculus of variations and basic optimal control
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.
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