Fourier Series, Transforms, and Boundary Value Problems / Edition 2
  • Alternative view 1 of Fourier Series, Transforms, and Boundary Value Problems / Edition 2
  • Alternative view 2 of Fourier Series, Transforms, and Boundary Value Problems / Edition 2

Fourier Series, Transforms, and Boundary Value Problems / Edition 2

by J. Ray Hanna, John H. Rowland
     
 

View All Available Formats & Editions

ISBN-10: 0486466736

ISBN-13: 9780486466736

Pub. Date: 06/11/2008

Publisher: Dover Publications


This introduction to Fourier and transform methods emphasizes basic techniques rather than theoretical concepts. It explains the essentials of the Fourier method and presents detailed considerations of modeling and solutions of physical problems. All solutions feature well-drawn outlines that allow students to follow an appropriate sequence of steps, and

Overview


This introduction to Fourier and transform methods emphasizes basic techniques rather than theoretical concepts. It explains the essentials of the Fourier method and presents detailed considerations of modeling and solutions of physical problems. All solutions feature well-drawn outlines that allow students to follow an appropriate sequence of steps, and many of the exercises include answers.
The chief focus of this text is the application of the Fourier method to physical problems, which are described mathematically in terms of boundary value problems. Problems involving separation of variables, Sturm-Liouville theory, superposition, and boundary complaints are addressed in a logical sequence. Multidimensional Fourier series solutions and Fourier integral solutions on unbounded domains are followed by the special functions of Bessel and Legendre, which are introduced to deal with the cylindrical and spherical geometry of boundary value problems. Students and professionals in mathematics, the physical sciences, and engineering will find this volume an excellent study guide and resource.

Product Details

ISBN-13:
9780486466736
Publisher:
Dover Publications
Publication date:
06/11/2008
Series:
Dover Books on Mathematics Series
Pages:
368
Product dimensions:
5.90(w) x 9.10(h) x 0.80(d)

Table of Contents


1. Linear Differential Equations
2. Orthogonal Sets of Functions
3. Fourier Series
4. Fourier Integrals
5. Bessel Functions
6. Legendre Polynomials
7. Integral Transforms
8. Application of BVPs
9. Additional Applications
References
Answers to Exercises
Appendix 1. Selected Integrals
Appendix 2. Table of Laplace Transforms
Appendix 3. Tables of Finite Fourier Transforms
Appendix 4. Tables of Fourier Transforms
Index

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >