Download e-book for iPad: An Introduction to the Calculus of Variations (Dover Books by L.A. Pars

By L.A. Pars

This transparent, rigorous creation to the calculus of diversifications covers purposes to geometry, dynamics, and physics. Focusing upon issues of one autonomous variable, the textual content connects the summary concept to its use in concrete difficulties. It bargains a operating wisdom of appropriate suggestions, plus an impetus for additional study.
Starting with an outline of primary difficulties and theories, the textual content advances to illustrative examples and examinations of variable end-points and the elemental 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 selected specialise in Dirichlet's precept. appropriate 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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