Ordinary and partial differential equations : with special functions, Fourier series, and boundary value problems / Ravi P. Agarwal, Donal O'Regan
Type de document : Livre numériqueCollection : UniversitextLangue : anglais.Éditeur : New York : Springer e-books, 2009ISBN: 9780387791463.ISSN: 2191-6675.Sujet MSC : 34-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations35-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations
34Bxx, Ordinary differential equations - Boundary value problems for ordinary differential equationsEn-ligne : Springerlink
Publisher's description: "This textbook provides a genuine treatment of ordinary and partial differential equations (ODEs and PDEs) through 50 class-tested lectures.
"Key features:
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Explains mathematical concepts with clarity and rigor, using fully worked-out examples and helpful illustrations.
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Develops ODEs in conjunction with PDEs and is aimed mainly toward applications.
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Covers important applications-oriented topics such as solutions of ODEs in the form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, and the theory of Fourier series.
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Provides exercises at the end of each chapter for practice.
This book is ideal for an undergraduate or first-year graduate-level course, depending on the university. Prerequisites include a course in calculus.''
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