PARTIAL DIFFERENTIAL EQUATIONS WITH FOURIER SERIES & BOUNDARY VALUE PROBLEMS (3版)

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PARTIAL DIFFERENTIAL EQUATIONS WITH FOURIER SERIES AND BOUNDARY VALUE PROBLEMS 3E 2016 (P) ISBN： 9780486807379 類別： 數學Mathematics 出版社： DOVER PUBLICATIONS, INC. 作者： ASMAR 年份： 2016 裝訂別： 平裝 頁數： 816頁 This text provides an introduction to partial differential equations and boundary value problems, including Fourier series. The treatment offers students a smooth transition from a course in elementary ordinary differential equations to more advanced topics in a first course in partial differential equations. This widely adopted and successful book also serves as a valuable reference for engineers and other professionals. The approach emphasizes applications, with particular stress on physics and engineering applications. Rich in proofs and examples, the treatment features many exercises in each section. Relevant Mathematica files are available for download from author Nakhle Asmar's website; however, the book is completely usable without computer access. The Students' Solutions Manual can be downloaded for free from the Dover website, and the book includes information on how instructors may request the Instructor Solutions Manual. The text is suitable for undergraduates in mathematics, physics, engineering, and other fields who have completed a course in ordinary differential equations. Reprint of the Pearson/Prentice-Hall, Inc., Upper Saddle River, New Jersey, 2005 edition, with minor revisions. A Student Solutions Manual to accompany this text is available for free download. Click here to download PDF version now. The book includes information on how instructors may request a copy of the Instructor Solutions Manual.

Fourier Series N Boundary Value Programming (8版)

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Fourier Series and Boundary Value Problems 8/e 作者：James Ward Brown, Ruel V. Churchill ISBN：9780071086158 版次：8 年份：2012 出版商：McGraw-Hill 頁數/規格：400頁/平裝單色 Description Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations. The book is a thorough revision of the seventh edition and much care is taken to give the student fewer distractions when determining solutions of eigenvalue problems, and other topics have been presented in their own sections like Gibbs' Phenomenon and the Poisson integral formula Table of Contents Chapter 1　Fourier Series Chapter 2　Convergence of Fourier Series Chapter 3　Partial Differential Equations of Physics Chapter 4　The Fourier Method Chapter 5　Boundary Value Problems Chapter 6　Fourier Integrals and Applications Chapter 7　Orthonormal Sets Chapter 8　Sturm-Liouville Problems and Applications Chapter 9　Bessel Functions and Applications Chapter 10　Legendre Polynomials and Applications Chapter 11　Verification of Solutions and Uniqueness