Partial Differential Equations I: Basic Theory

Michael E. Taylor

ISBN 10: 0387946535 / ISBN 13: 9780387946535

Editore: Springer-Verlag, New York, NY, 1996

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Very Good: a faint crack at the lower rear hinge; a hint of rubbing to the extremities and mild bumps and wear to the lower corner tips; the faintest smudges to the outside edges of the text block; the binding is square and secure; the text is clean. Free of creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome copy, tightly bound, showing only the noted imperfections. NOT a Remainder, Book-Club, or Ex-Library. 8vo (9.5 x 6.35 x 1.35 inches). Language: English. Weight: 34 ounces. Hardcover: Laminate Boards. The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. ; Applied Mathematical Sciences; Vol. 115; Large 8vo 9" - 10" tall; xxi, 561 pages.

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Dati bibliografici

• Titolo: Partial Differential Equations I: Basic Theory
• Editore: Springer-Verlag, New York, NY
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0387946535
• ISBN 13: 9780387946535
• Rilegatura: Hardcover
• Edizione: First Edition; 2nd Corrected Printing.
• Condizione: Very Good
• Condizione della sovraccoperta: No Dust Jacket As Issued

Descrizione articolo

Riassunto

This is the first of three volumes on partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Volume I prepares the way for studies of more advanced topics in linear PDE, in Volume 2, and for studies of nonlinear PDE, in Volume 3. The book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.

Contenuti

Contents: Contents of Volumes II and III.- Introduction.- Basic Theory of ODE and Vector Fields.- The Laplace Equation and Wave Equation.- Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE.- Sobolev Spaces.- Linear Elliptic Equations.- Linear Evolution Equations.- Appendix A: Outline of Functional Analysis.- Appendix B: Manifolds, Vector Bundles, and Lie Groups.- Index.