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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems (Dover Books on Mathematics) - Softcover
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This well-written, advanced-level text introduces students to Fourier analysis and some of its applications. The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. Over 260 exercises with solutions reinforce students' grasp of the material. 1970 edition.
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Introduction to Partial Differential Equations: From Fourier Series to Boundary Value Problems
Verlag:
Dover Publications Inc., 2010
ISBN 10: 048666158X
ISBN 13: 9780486661582
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Paperback. Zustand: Good. This exceptionally well-written and well-organized text is the outgrowth of a course given every year for 45 years at the Chalmers University of Technology, Goteborg, Sweden. The object of the course was to give students a basic knowledge of Fourier analysis and certain of its applications. The text is self-contained with respect to such analysis; however, in areas where the author relies on results from branches of mathematics outside the scope of this book, references to widely used books are given.Table of Contents: Chapter 1. Fourier series1.1 Basic concepts1.2 Fourier series and Fourier coefficients1.3 A minimizing property of the Fourier coefficients. The Riemann-Lebesgue theorem1.4 Convergence of Fourier series1.5 The Parseval formula1.6 Determination of the sum of certain trigonometric seriesChapter 2. Orthogonal systems2.1 Integration of complex-valued functions of a real variable2.2 Orthogonal systems2.3 Complete orthogonal systems2.4 Integration of Fourier series2.5 The Gram-Schmidt orthogonalization process2.6 Sturm-Liouville problemsChapter 3. Orthogonal polynomials3.1 The Legendre polynomials3.2 Legendre series3.3 The Legendre differential equation. The generating function of the Legendre polynomials3.4 The Tchebycheff polynomials3.5 Tchebycheff series3.6 The Hermite polynomials. The Laguerre polynomialsChapter 4. Fourier transforms4.1 Infinite interval of integration4.2 The Fourier integral formula: a heuristic introduction4.3 Auxiliary theorems4.4 Proof of the Fourier integral formula. Fourier transforms4.5 The convention theorem. The Parseval formulaChapter 5. Laplace transforms5.1 Definition of the Laplace transform. Domain. Analyticity5.2 Inversion formula5.3 Further properties of Laplace transforms. The convolution theorem5.4 Applications to ordinary differential equationsChapter 6. Bessel functions6.1 The gamma function6.2 The Bessel differential equation. Bessel functions6.3 Some particular Bessel functions6.4 Recursion formulas for the Bessel functions6.5 Estimation of Bessel functions for large values of x. The zeros of the Bessel functions6.6 Bessel series6.7 The generating function of the Bessel functions of integral order6.8 Neumann functionsChapter 7. Partial differential equations of first order7.1 Introduction7.2 The differential equation of a family of surfaces7.3 Homogeneous differential equations7.4 Linear and quasilinear differential equationsChapter 8. Partial differential equations of second order8.1 Problems in physics leading to partial differential equations8.2 Definitions8.3 The wave equation8.4 The heat equation8.5 The Laplace equationAnswers to exercises; Bibliography; Conventions; Symbols; IndexWritten on an advanced level, the book is aimed at advanced undergraduates and graduate students with a background in calculus, linear algebra, ordinary differential equations, and complex analysis. Over 260 carefully chosen exercises, with answers, encompass both routing and more challenging problems to help students test their grasp of the material. Artikel-Nr. 00110946061
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems
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paperback. Zustand: Good. Condition Notes: Moderate edge wear. Binding good. May have marking in text. We sometimes source from libraries. We ship in recyclable American-made mailers. 100% money-back guarantee on all orders. Artikel-Nr. 1784941
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Introduction to Partial Differential Equations : From Fourier Series to Boundary-Value Problems
Verlag:
Dover Publications, Incorporated, 2010
ISBN 10: 048666158X
ISBN 13: 9780486661582
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Anbieter: Better World Books, Mishawaka, IN, USA
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Zustand: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Artikel-Nr. 16275927-6
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems (Dover Books on Mathematics)
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Paperback. Zustand: Very Good. Glossy paper covers; mild edge wear;8vo - over 7 3/4" to 9 3/4" tall; interior clean and unmarked; 183 pages. Artikel-Nr. SKU1144223
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems (Dover Books on Mathematics)
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Paperback. Zustand: New. In shrink wrap. Artikel-Nr. 71-01081
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems
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Paperback. Zustand: Brand New. revised edition. 192 pages. 8.25x5.75x0.50 inches. In Stock. Artikel-Nr. zk048666158X
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems
Verlag:
Dover Publications, New York, 1989
ISBN 10: 048666158X
ISBN 13: 9780486661582
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Paperback. Zustand: Near Fine. No Jacket. Facsimile republication of original 1970 publication. Near Fine paperback book, unread, no creasing to spine, only minor defect is a small neat owner's name sticker inside front cover with a neatly hand written purchase date. Artikel-Nr. 205422
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Introduction to Partial Differential Equations From Fourier Series to Boundary-Value Problems
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Zustand: Very Good. Artikel-Nr. 240E1B04DB233EB
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems (Dover Books on Mathematics)
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Zustand: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,300grams, ISBN:9780486661582. Artikel-Nr. 5835133
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Introduction to Partial Differential Eqautions from Fourier Series to Boundary-Value Problems.
Verlag:
Dover Publications, New York, 1989
ISBN 10: 048666158X
ISBN 13: 9780486661582
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Anbieter: Antiquariat Renner OHG, Albstadt, Deutschland
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Softcover. Zustand: Gut. N.Y., Dover (1989). Some figs. XI, 183 p. Pbck. (slightly bumped).- With exercises and answers. Artikel-Nr. 94210
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