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Название: Introduction To The Differential Equations Of Physics
Авторы: Hopf L., Nef W.
Аннотация:
The first portion of this concise introduction to ordinary and partial differential equations acquaints the reader with equations describ ing the more important theories of classical physics. It covers the
mechanics of particles, potential, heat conduction, energy, electro dynamics, oscillations, ectromagnetic waves and potentials.The concluding chapters introduce some of the standard ways Tor solving those differential equations which have been derived: Eigenfunctions, Fourier series and integrals, Green's theorem, particular solutions in coordinates, asymptotic expansions, change of variables, conformal mapping, singularities, and transition to integral equations. Mathematics is developed in close connection with physical problems, as needed. Elementary physical intuition is skillfully blended with formal mathematics. This volume is specially apt for self-study,since no mathematical background beyond elementary calculus is required of the reader. "A remarkably good presentation . . . one could hardly be without
this book on his shelf for quick reference," YALE BIOPHYSICS REVIEW. "Ideal for the young prospective physicist . . . for the more advanced student who wants a compact compilation," AMERICAN
MATHEMATICAL MONTHLY. "The author should be congratulated . . . recommended to future engineers and physicists," ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK.