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Introduction to partial differential equations and Hilbert space methods

Author: Karl E Gustafson
Publisher: New York : Wiley, ©1987.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:

This text covers all the major concepts and techniques in an elementary and clear style and explores some fields usually dealt with only in the advanced literature, also in a simplified manner.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Karl E Gustafson
ISBN: 0471832278 9780471832270
OCLC Number: 14377389
Description: xix, 409 pages : illustrations ; 24 cm
Contents: THE USUAL TRINITIES; The Usual Three Operators and Classes of Equations; The Usual Three Types of Problems; The Usual Three Questions (and the Other Three); The Usual Three Types of Boundary Conditions.'' The Usual Three Solution Methods (with Historical Remarks); Three Important Mathematical Tools; Some Physical Considerations (and Examples); Elements of Bifurcation Theory; Supplementary Discussions and Problems; FOURIER SERIES AND HILBERT SPACE; Lots of Separation of Variables; Mathematical Justifications of the Method; Fourier Series and Hilbert Space; Fourier Series and Sturm-Liouville Equations; Fourier Series and Green's Functions; Fourier Series and Variational and Numerical Methods; Some Unbounded Domain Considerations (and Continuous Spectra); Elements of Scattering Theory; Supplementary Discussions and Problems; Appendices: First-Order Equations; Computational Methods; Advanced Fluid Dynamics; Selected Answers, Hints and Solutions; Author Index; Subject Index.
Other Titles: Partial differential equations and Hilbert space methods
Responsibility: Karl E. Gustafson.
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