Beginning Partial Differential Equations - Hardcover

O'Neil, Peter V.

Hardcover

ISBN 10: 0471238872 ISBN 13: 9780471238874

Verlag: John Wiley & Sons Inc, 1998

Inhaltsangabe

Beginning Partial Differential Equations provides a challenging yet accessible introduction to partial differential equations for advanced undergraduate and beginning graduate students. Features include: A discussion of first order equations and the method of characteristics for quasi-linear first order PDEs Canonical forms of second order PDEs Characteristics and the Cauchy problem A proof of the Cauchy-Kowalevski theorem for linear systems A self-contained development of tools from Fourier analysis Connections between the mathematics and physical interpretations of PDEs Numerous exercises, many with solutions provided Experimental, computer-based exercises designed to develop lines of inquiry. The treatment of second order PDEs focuses on well-posed problems, properties and behavior of solutions, existence and uniqueness of solutions, and techniques for writing representations of solutions. Techniques include the use of characteristics, Fourier methods, and, for the Dirichlet problem, Green's function and conformal mappings. Also included are the Kirchhoff/Poisson solution of the wave equation, Huygens's principle, and Lebesgue's example of a Dirichlet problem with no solution.

Über diesen Titel

Über die Autorin bzw. den Autor

PETER V. O'NEIL is Provost at the University of Alabama at Birmingham. His books include Advanced Engineering Mathematics, Fourth Edition.

Details zur Ausgabe

• Verlag: John Wiley & Sons Inc
• Erscheinungsdatum: 1998
• ISBN 10: 0471238872
• ISBN 13: 9780471238874
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 512
• Kontakt zum Hersteller: Nicht verfügbar