The Calculus of Variations and Optimal Control - An Introduction | George Leitmann | SpringerLibraries and resellers, please contact cust-serv ams. See our librarian page for additional eBook ordering options. It is hard to imagine a more original and insightful approach to classical mechanics. Most physicists would regard this as a well-worn and settled subject. But Mark Levi's treatment sparkles with freshness in the many examples he treats and his unexpected analogies, as well as the new approach he brings to the principles.
Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction
The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition. Mathematics and classical mechanics have had something of an off-and-on relationship over the last century of so. At one point mechanics was a standard part of the mathematics curriculum, but for some time it has been no more than an elective. For the most part, mathematicians have been happy to consign mechanics to physicists. Every now and again it will stage a mathematical comeback, most recently in a relatively abstract form involving symplectic and Poisson structures, moment maps and the machinery of Lie groups and Lie algebras.
This book can be recommended to students and also to everyone involved in preparing an introductory course in advanced classical.
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Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals , to find maxima and minima of functionals: mappings from a set of functions to the real numbers. Functions that maximize or minimize functionals may be found using the Euler—Lagrange equation of the calculus of variations., It seems that you're in Germany.