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Book Summary of Fourier Series And Boundary Value Problems
OVERVIEW
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.
Key Features:
NEW! Reorganization of Topics: Topics in the text have been realigned to allow for more focus on each section and to allow for more examples. The chapter on The Fourier Method has been moved earlier in the book (now Chapter 2). The former Fourier Series chapter has been split into two chapters (Chapter 3: Orthonormal Sets and Fourier Series and Chapter 4: Convergence of Fourier Series).
NEW! Problem Sets Revised: Problem sets have been broken up into more manageable segments to allow for each problem set to be very focused.
NEW! Examples Added: Additional examples have been added in each chapter to help illustrate important topics.
Primary Focus: The text's primary focus is to find solutions to specific problems, rather than developing general theories.
Table of Content:
Preface
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
Appendixes
Bibliography
Some Fourier Series Expansions
Solutions of Some Regular Sturm-Liouville Problems
Index
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.
Key Features:
NEW! Reorganization of Topics: Topics in the text have been realigned to allow for more focus on each section and to allow for more examples. The chapter on The Fourier Method has been moved earlier in the book (now Chapter 2). The former Fourier Series chapter has been split into two chapters (Chapter 3: Orthonormal Sets and Fourier Series and Chapter 4: Convergence of Fourier Series).
NEW! Problem Sets Revised: Problem sets have been broken up into more manageable segments to allow for each problem set to be very focused.
NEW! Examples Added: Additional examples have been added in each chapter to help illustrate important topics.
Primary Focus: The text's primary focus is to find solutions to specific problems, rather than developing general theories.
Table of Content:
Preface
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
Appendixes
Bibliography
Some Fourier Series Expansions
Solutions of Some Regular Sturm-Liouville Problems
Index
Details of Book: Fourier Series And Boundary Value Problems
| Book: | Fourier Series And Boundary Value Problems |
| Author: | Brown |
| ISBN: | 0070636605 |
| ISBN-13: | 9780070636606,978-0070636606 |
| Binding: | Paperback |
| Publishing Date: | 2007 |
| Publisher: | Tata Mcgraw Hill Education Private Limited |
| Edition: | 7th |
| Number of Pages: | 384 |
| Language: | English |
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