Verwandte Artikel zu Beginning Partial Differential Equations

Beginning Partial Differential Equations - Hardcover

O'Neil, Peter V

 
9780471238874: Beginning Partial Differential Equations
Hardcover
ISBN 10: 0471238872 ISBN 13: 9780471238874
Verlag: Wiley VCH, 1999

Inhaltsangabe

Starting with preliminary concepts, this book offers a text in partial differential equations aimed at providing advanced undergraduates and first-year graduate students with the background needed to pursue more abstract aspects of the subject. Students should already be familiar with standard topics from a first course in ordinary differential equations, and topics from Fourier analysis are not assumed as background and are included in the book.

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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.

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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.

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Verlag
Wiley VCH
Erscheinungsdatum
1999
Sprache
Englisch
ISBN 10 
0471238872
ISBN 13 
9780471238874
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
512
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9781118880623: Beginning Partial Differential Equations Set (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Vorgestellte Ausgabe

ISBN 10:  1118880625 ISBN 13:  9781118880623
Verlag: Wiley, 2014
Hardcover