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- Product code: 20445
- ISBN: 0471548685,
ISBN13: 9780471548683,
438 pages, hardback
Published by John Wiley & Sons on 1992
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Description of Partial Differential Equations: An Introduction |
Covers the fundamental properties of partial differential equations (PDEs) and proven techniques useful in analyzing them. Uses a broad approach to illustrate the rich diversity of phenomena such as vibrations of solids, fluid flow, molecular structure, photon and electron interactions, radiation of electromagnetic waves encompassed by this subject as well as the role PDEs play in modern mathematics, especially geometry and analysis.
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Contents of Partial Differential Equations: An Introduction |
Where PDEs Come From
Waves and Diffusions
Reflections and Sources
Boundary Problems
Fourier Series
Harmonic Functions
Green's Identities and Green's Functions
Computation of Solutions
Waves in Space
Boundaries in the Plane and in Space
General Eigenvalue Problems
Distributions and Transforms
PDE Problems from Physics
Nonlinear PDEs
Appendix
References
Answers and Hints to Selected Exercises
Index
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