Variational Calculus and Optimal Control: Optimization with Elementary Convexity (Undergraduate Texts in Mathematics) - Tapa dura

Troutman, John L.

 
9780387945118: Variational Calculus and Optimal Control: Optimization with Elementary Convexity (Undergraduate Texts in Mathematics)
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ISBN 10: 0387945113 ISBN 13: 9780387945118
Editorial: Springer, 1995

Sinopsis

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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De la contraportada

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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Editorial
Springer
Año de publicación
1995
Idioma
Inglés
ISBN 10 
0387945113
ISBN 13 
9780387945118
Encuadernación
Tapa dura
Número de edición
2
Número de páginas
484
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9781461268871: Variational Calculus and Optimal Control: Optimization with Elementary Convexity (Undergraduate Texts in Mathematics)

Edición Destacada

ISBN 10:  1461268877 ISBN 13:  9781461268871
Editorial: Springer, 2012
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