By Wolfgang Yourgrau, Stanley Mandelstam
Concentrating upon functions which are such a lot suitable to fashionable physics, this beneficial publication surveys variational rules and examines their courting to dynamics and quantum concept. Stressing the heritage and thought of those mathematical ideas instead of the mechanics, the authors offer many insights into the improvement of quantum mechanics and current a lot hard-to-find fabric in a remarkably lucid, compact form.
After summarizing the ancient history from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram disguise Fermat's precept of least time, the primary of least motion of Maupertuis, improvement of this precept by way of Euler and Lagrange, and the equations of Lagrange and Hamilton. outfitted via this thorough instruction to regard variational ideas more often than not, they continue to derive Hamilton's precept, the Hamilton-Jacobi equation, and Hamilton's canonical equations.
An research of electrodynamics in Hamiltonian shape covers subsequent, by means of a resume of variational rules in classical dynamics. The authors then release into an research in their most vital subject matters: the relation among variational ideas and wave mechanics, and the rules of Feynman and Schwinger in quantum mechanics. concluding chapters expand the dialogue to hydrodynamics and traditional philosophy.
Professional physicists, mathematicians, and complicated scholars with a robust mathematical heritage will locate this stimulating quantity worthy studying. highly regarded in its hardcover version, this quantity will locate even wider appreciation in its first fantastic low-cost paperbound edition.