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Fourier Series and Boundary Value Problems 8/e

作者：James Ward Brown, Ruel V. Churchill
原價：NT$ 1,000

ISBN：9780071086158
版次：8
年份：2012
出版商：McGraw-Hill
頁數/規格：400頁/平裝單色

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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

Features

Primary Focus: The text's primary focus is to find solutions to specific problems, primarily related to engineering and physics, rather than developing general theories.

Reorganization of Topics: Topics in the text have been realigned to provide a clearer presentation to students. Some topics have been given their own sections to lessen distractions to the students.

Problem Sets Revised: Problem sets have been broken up into more manageable segments to allow for each problem set to be very focused.

Examples Added: Additional examples have been added in each chapter to help illustrate important topics. Many of these have been proposed by users, including a more thorough discussion of Duhamel's principle, eigenvalues, and the Gamma function.

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

James Ward Brown, The University of Michigan – Dearborn
Ruel V. Churchill, The University of Michigan

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