Variational Methods with Applications to Science and Engineering - Kevin W. Cassel

Variational Methods with Applications to Science and Engineering

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Autor: Kevin W. Cassel

Wydawnictwo: Cambridge University Press
ISBN: 9781107022584
EAN:
Format: ...
Oprawa: twarda
Stron: 432
Data wydania: 2013-08-01
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There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, have only recently become tractable computationally, with the advent of advanced algorithms and large computer systems. This book reflects the strong connection between calculus of variations and the applications for which variational methods form the fundamental foundation. The mathematical fundamentals of calculus of variations (at least those necessary to pursue applications) is rather compact and is contained in a single chapter of the book. The majority of the text consists of applications of variational calculus for a variety of fields. 'The current book is an attractive fresh look at the subject by a professor of mechanical and aerospace engineering ... Most chapters have a modest number of exercises. There is a very nice bibliography.' Bill Satzer, MAA Reviews (maa.org)

Książka "Variational Methods with Applications to Science and Engineering"
Kevin W. Cassel