An Introduction to the Calculus of Variations (Dover Books - download pdf or read online

By L.A. Pars

This transparent, rigorous advent to the calculus of diversifications covers purposes to geometry, dynamics, and physics. Focusing upon issues of one self reliant variable, the textual content connects the summary conception to its use in concrete difficulties. It bargains a operating wisdom of suitable recommendations, plus an impetus for additional study.
Starting with an summary of primary difficulties and theories, the textual content advances to illustrative examples and examinations of variable end-points and the basic sufficiency theorem. next chapters discover the isoperimetrical challenge, curves in house, the matter of Lagrange, and the parametric challenge. the ultimate bankruptcy is dedicated to a number of integrals, with a specific specialise in Dirichlet's precept. compatible for complex undergraduate and graduate scholars, this article calls for a history in mathematical analysis.

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An Introduction to the Calculus of Variations (Dover Books on Mathematics) by L.A. Pars


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