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Variational Calculus and Optimal Control: Optimization with Elementary Convexity (Undergraduate Texts in Mathematics) - Hardcover
Synopsis
An introduction to the variational methods used to formulate and solve mathematical and physical problems, allowing the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. By helping students directly characterize the solutions for many minimization problems, the text serves as a prelude to the field theory for sufficiency, laying as it does the groundwork for further explorations in mathematics, physics, mechanical and electrical engineering, as well as computer science.
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From the Back Cover
This book supplies a broad-based introduction to variational methods for formulating and solving problems in mathematics and the applied sciences. It refines and extends the author's earlier text on variational calculus and a supplement on optimal control. It is the only current introductory text that uses elementary partial convexity of differentiable functions to characterize directly the solutions of some minimization problems before exploring necessary conditions for optimality or field theory methods of sufficiency. Through effective notation, it combines rudiments of analysis in (normed) linear spaces with simpler aspects of convexity to offer a multilevel strategy for handling such problems. It also employs convexity considerations to broaden the discussion of Hamilton's principle in mechanics and to introduce Pontjragin's principle in optimal control. It is mathematically self-contained but it uses applications from many disciplines to provide a wealth of examples and exercises. The book is accessible to upper-level undergraduates and should help its user understand theories of increasing importance in a society that values optimal performance.
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- PublisherSpringer
- Publication date1995
- ISBN 10 0387945113
- ISBN 13 9780387945118
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages477
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Variational Calculus and Optimal Control
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Springer New York Dez 1995, 1995
ISBN 10: 0387945113
ISBN 13: 9780387945118
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Hardcover
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The text provides an introduction to the variational methods used to formulate and solve mathematical and physical problems and gives the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. By helping students directly characterize then the solutions for many minimization problems, the text serves as a prelude to the field theory for sufficiency. It lays the groundwork for further explorations in mathematics, physics, mechanical and electrical engineering, and computer science. 482 pp. Englisch. Seller Inventory # 9780387945118
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Variational Calculus and Optimal Control: Optimization with Elementary Convexity (Undergraduate Texts in Mathematics)
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Condition: Good. Name stamped on fore edge part of book. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Shows some signs of wear but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-B-009-01967
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