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Undergraduate Texts in Mathematics

Variational Calculus and Optimal Control

Optimization with Elementary Convexity

Authors: Troutman, John L.

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eBook 51,16 €
price for Spain (gross)
valid through December 14, 2019
  • ISBN 978-1-4612-0737-5
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Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-0-387-94511-8
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  • Usually dispatched within 3 to 5 business days.
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Softcover 62,39 €
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  • ISBN 978-1-4612-6887-1
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About this Textbook

Although the calculus of variations has ancient origins in questions of Ar­ istotle and Zenodoros, its mathematical principles first emerged in the post­ calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Its results now supply fundamental tools of exploration to both mathematicians and those in the applied sciences. (Indeed, the macroscopic statements ob­ tained through variational principles may provide the only valid mathemati­ cal formulations of many physical laws. ) Because of its classical origins, variational calculus retains the spirit of natural philosophy common to most mathematical investigations prior to this century. The original applications, including the Bernoulli problem of finding the brachistochrone, require opti­ mizing (maximizing or minimizing) the mass, force, time, or energy of some physical system under various constraints. The solutions to these problems satisfy related differential equations discovered by Euler and Lagrange, and the variational principles of mechanics (especially that of Hamilton from the last century) show the importance of also considering solutions that just provide stationary behavior for some measure of performance of the system. However, many recent applications do involve optimization, in particular, those concerned with problems in optimal control. Optimal control is the rapidly expanding field developed during the last half-century to analyze optimal behavior of a constrained process that evolves in time according to prescribed laws. Its applications now embrace a variety of new disciplines, including economics and production planning.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 51,16 €
price for Spain (gross)
valid through December 14, 2019
  • ISBN 978-1-4612-0737-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-0-387-94511-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,39 €
price for Spain (gross)
  • ISBN 978-1-4612-6887-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Variational Calculus and Optimal Control
Book Subtitle
Optimization with Elementary Convexity
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1996
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0737-5
DOI
10.1007/978-1-4612-0737-5
Hardcover ISBN
978-0-387-94511-8
Softcover ISBN
978-1-4612-6887-1
Series ISSN
0172-6056
Edition Number
2
Number of Pages
XV, 462
Topics