Items related to Hamilton-Jacobi Theory in the Calculus of Variations:...

Hamilton-Jacobi Theory in the Calculus of Variations: Its Role in Mathematics and Physics - Hardcover

Rund, Hanno

 
9780442070991: Hamilton-Jacobi Theory in the Calculus of Variations: Its Role in Mathematics and Physics

Synopsis

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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