Thorough, advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, special functions, more. Emphasis on mathematical formulation of problems, rigorous solutions, physical interpretation of results obtained. Problems. Appendixes. Tables.
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Text: English (translation)
Original Language: Russian
Original Language: Russian
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This is a very important book. The authors put Rayleigh's potential theorem on a rigorous foundation. Had it been available earlier, it would have altered some of the standard acoustical literature. For example, the Helmholtz integral equation has been widely used to treat certain acoustic diffraction and scattering problems. This is because it has a 30 year head start in the English language literature. Potential theory was put on a rigorous basis by Russian mathematicians, but the translations did not become widely available until the 1960's.
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The book arrived even earlier than planned, in excellent condition.Also, the customer service replies promptly and is helpful. I am very happy with this purchase.
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72
books
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- Diffusion Phenomena: Cases and Studies by Richard Ghez on page 44, and Back Matter
- Computer-Aided Analysis of Difference Schemes for Partial Differential Equations by Victor G. Ganzha on page 74, and page 402
- CRC Handbook of Lie Group Analysis of Differential Equations: Volume 1 by Nail H. Ibragimov in Back Matter (1), and Back Matter (2)
- Elements of the Modern Theory of Partial Differential Equations by A.I. Komech on page 155, and page 255
- Partial Differential Equations of Applied Mathematics, 2nd Edition by Erich Zauderer in Back Matter (1), and Back Matter (2)
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