Partial differential equations : an introduction
著者
書誌事項
Partial differential equations : an introduction
John Wiley & Sons, c1992
- : hard
- : pbk.
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注記
Includes bibliographical references (p. 397-399) and index
内容説明・目次
- 巻冊次
-
: hard ISBN 9780471548683
内容説明
This volume covers the fundamental properties of partial differential equations (PDEs) and the proven techniques useful in analyzing them. It uses a broad approach to illustrate the rich diversity of phenomena such as the vibrations of solids, fluid flow, molecular structure, photon and electron interactions, and the radiation of electomagnetic waves, as well as the role PDEs play in modern mathematics, especially geometry and analysis.
目次
- Where PDE's come from
- waves and diffusions
- reflections and sources
- boundary problems
- Fourier series
- harmonic functions
- Green's identities and Green's functions
- computation of solutions
- three-dimensional waves.
- 巻冊次
-
: pbk. ISBN 9780471573647
内容説明
Containing both realistic exercises and advanced topics, this undergraduate introduction to the field provides an analysis of the Robin boundary condition and the need for Fourier expansions. Schrodinger equations are also discussed, to illustrate the connection with chemistry and physics.
目次
- 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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