Fourier Series, Transforms, And Boundary Value Problems - Brossura

Hanna, J. Ray; Rowland, John H.

Brossura

ISBN 10: 0486466736 ISBN 13: 9780486466736

Casa editrice: Dover Pubns, 2008

Riassunto

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.

Su questo libro

Contenuti

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

Product Description

This volume introduces Fourier and transform methods for solutions to boundary value problems associated with natural phenomena. Unlike most treatments, it emphasizes basic concepts and techniques rather than theory. Many of the exercises include solutions, with detailed outlines that make it easy to follow the appropriate sequence of steps. 1990 edition.

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0486466736
• ISBN 13: 9780486466736
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 354
• Contatto del produttore: non disponibile