Partial differential equations:an introduction
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Main Authors: | |
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Published: |
World Publishing Corporation John Wiley & Sons
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Publisher Address: | Beijing Canada |
Publication Dates: | c1992. |
Literature type: | Book |
Language: | English |
Subjects: | |
Carrier Form: | ix, 425 p.: ill. ; 25 cm. |
ISBN: |
9787506282796 7506282798 |
Index Number: | O175 |
CLC: | O175.2 |
Call Number: | O175.2/S912 |
Contents: |
Includes bibliographical references (p. 397-399) and index. 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. Publisher description: 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. |