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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems - Couverture souple
Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Introduction to Partial Differential Equations: From Fourier Series to Boundary Value Problems
Edité par
Dover Publications Inc., 2010
ISBN 10 : 048666158X
ISBN 13 : 9780486661582
Ancien ou d'occasion
Paperback
Vendeur : World of Books (was SecondSale), Montgomery, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : 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. N° de réf. du vendeur 00110946061
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EUR 6,40
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Introduction to Partial Differential Equations: from Fourier Series to Boundary-value Problems
Edité par
DOVER PUBLICATIONS, INC., New York, 1989
ISBN 10 : 048666158X
ISBN 13 : 9780486661582
Ancien ou d'occasion
Paperback
Vendeur : Aspen Book Co., Denver, CO, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : Good. Dover edition, first published in 1989. The book is in good condition with some wear visible on the cover edges and corners. The binding is intact, and the pages are clean and unmarked. It is a paperback edition, which is typical for Dover publications, providing durability for frequent use. unknown (appears to be a paperback). N° de réf. du vendeur A12-B7-MRG-0010
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EUR 7,55
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Expédition nationale : Etats-Unis
Quantité disponible : 1 disponible(s)
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems
Edité par
Dover, 2010
ISBN 10 : 048666158X
ISBN 13 : 9780486661582
Ancien ou d'occasion
Couverture souple
Vendeur : Bay State Book Company, North Smithfield, RI, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : acceptable. The book is complete and readable, with all pages and cover intact. Dust jacket, shrink wrap, or boxed set case may be missing. Pages may have light notes, highlighting, or minor water exposure, but nothing that affects readability. May be an ex-library copy and could include library markings or stickers. N° de réf. du vendeur BSM.1B468
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EUR 8,45
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Expédition nationale : Etats-Unis
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems
Vendeur : HPB-Red, Dallas, TX, Etats-Unis
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paperback. Etat : Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_475332118
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EUR 6,45
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems (Dover Books on Mathematics)
Edité par
Dover Publications, 2010
ISBN 10 : 048666158X
ISBN 13 : 9780486661582
Ancien ou d'occasion
Paperback
Vendeur : HPB-Ruby, Dallas, TX, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_477125814
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Introduction to Partial Differential Equations : From Fourier Series to Boundary-Value Problems
Edité par
Dover Publications, Incorporated, 2010
ISBN 10 : 048666158X
ISBN 13 : 9780486661582
Ancien ou d'occasion
Couverture souple
Vendeur : Better World Books, Mishawaka, IN, Etats-Unis
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Etat : 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. N° de réf. du vendeur 16275927-6
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems (Dover Books on Mathematics)
Edité par
Dover Publications, 2010
ISBN 10 : 048666158X
ISBN 13 : 9780486661582
Ancien ou d'occasion
Paperback
Vendeur : A Squared Books (Don Dewhirst), South Lyon, MI, Etats-Unis
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Paperback. Etat : Very Good. Glossy paper covers; mild edge wear;8vo - over 7 3/4" to 9 3/4" tall; interior clean and unmarked; 183 pages. N° de réf. du vendeur SKU1144223
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems (Dover Books on Mathematics)
Vendeur : GridFreed, San Diego, CA, Etats-Unis
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Paperback. Etat : New. In shrink wrap. N° de réf. du vendeur 71-01081
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Introduction to Partial Differential Equations; from Fourier Series to Boundary-value Problems
Edité par
NY: Dover, 1989, 2010
ISBN 10 : 048666158X
ISBN 13 : 9780486661582
Ancien ou d'occasion
Couverture souple
Vendeur : Books on the Web, Winnipeg, MB, Canada
Évaluation du vendeur 5 sur 5 étoiles
As new but with remainder marks. Paper bound, unabridged and corrected republication of the work first published in 1970 by Addison-Wesley Publishing Company, Inc., Reading, Mass. vi + Pp183. Includes answer key, bibliography, and index. Remainder marks in black felt to top, bottom and side edges else tight and clean, unused, unread copy. 215 grams. All books in stock and available for immediate shipment from Winnipeg, Manitoba. N° de réf. du vendeur 22842
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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. revised edition. 192 pages. 8.25x5.75x0.50 inches. In Stock. N° de réf. du vendeur zk048666158X
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