Overview
After summarizing the historical background from Pythagoras to Francis Bacon, the text covers Fermat's principle of least time, the principle of least action of Maupertuis, the development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. After this general treatment of variational principles, the authors proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations.
An investigation of electrodynamics in Hamiltonian form follows, along with an overview of variational principles in classical dynamics. The text then analyzes its most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy.
This book title, Variational Principles in Dynamics and Quantum Theory - 9780486458885, ISBN: 9780486458885, by Wolfgang Yourgrau, Stanley Mandelstam, published by Dover Publications (March 15, 2007) is available in paperback. Our minimum order quantity is 25 copies. All standard bulk book orders ship FREE in the continental USA and delivered in 4-10 business days.
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