Variational Methods for Eigenvalue Problems: An Introduction to the Methods of Rayleigh, Ritz, Weinstein, and Aronszajnby S. H. Gould
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Purely mathematical treatment covers Rayleigh-Ritz method, Weinstein method, Weinstein-Aronszajn method and others. Little math needed beyond elements of calculus. First 9 chapters discuss general theory of variational methods with special reference to the vibrating plate. Last chapter extends to more general cases. Includes exercises. 1957 edition.
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