This rigorous self-contained account demonstrates the role of the calculus of variations in unifying some of the most fundamental branches of pure mathematics and theoretical physics. The importance of the Hamilton-Jacobi theory is stressed right from the start, and so the pure mathematician gains imeediate access to the theory of first-order partial differential equations, to that of some second-order partial differential equations and to metric geometries. The theoetical physicist is shown how the theory of non-homogeneous single integral problems reveals the intimate relationship between geometrical optics and classical mechanics......
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Seller: Better World Books, Mishawaka, IN, U.S.A.
Condition: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 40457909-6