Partial Differential Equations and Boundary Value Problems with Fourier Series
International Edition
2nd Edition
Published on 29. April 2010
Book
Paperback/Softback
816 pages
978-0-13-244900-7 (ISBN)
Description
For introductory courses in Partial Differential Equations (PDEs) taken by majors in engineering, physics, and mathematics.
This example-rich text fosters a smooth transition from elementary ordinary differential equations courses to more advanced concepts in a first course on PDEs. Asmar's relaxed style and emphasis on applications make the material accessible even to students with limited exposure to topics beyond calculus. Computer use is encouraged for illustrating results and applications, but the text is also suitable for use without computer access. The Second Edition has added more engineering and physics applications; more optional mathematical proofs; a new chapter on Green's Theorem and Conformal Mappings; and more geometric presentations throughout.
This example-rich text fosters a smooth transition from elementary ordinary differential equations courses to more advanced concepts in a first course on PDEs. Asmar's relaxed style and emphasis on applications make the material accessible even to students with limited exposure to topics beyond calculus. Computer use is encouraged for illustrating results and applications, but the text is also suitable for use without computer access. The Second Edition has added more engineering and physics applications; more optional mathematical proofs; a new chapter on Green's Theorem and Conformal Mappings; and more geometric presentations throughout.
More details
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
College/higher education
Dimensions
Height: 240 mm
Width: 216 mm
Thickness: 27 mm
Weight
1160 gr
ISBN-13
978-0-13-244900-7 (9780132449007)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition
Nakhle H. Asmar
Partial Differential Equations and Boundary Value Problems with Fourier Series
United States Edition
Book
06/2004
2nd Edition
Pearson
€89.12
Article exhausted; check for reprint
Content
1. A Preview of Applications and Techniques.
2. Fourier Series.
3. Partial Differential Equations in Rectangular Coordinates.
4. Partial Differential Equations in Polar and Cylindrical Coordinates.
5. Partial Differential Equations in Spherical Coordinates.
6. Sturm-Liouville Theory with Engineering Applications.
7. The Fourier Transform and Its Applications.
8. The Laplace and Hankel Transforms with Applications.
9. Finite Difference Numerical Methods.
10. Sampling and Discrete Fourier Analysis with Applications to Partial Differential Equations.
11. An Introduction to Quantum Mechanics.
12. Green's Functions and Conformal Mappings.
Appendix A: Ordinary Differential Equations: Review of Concepts and Methods.
Appendix B: Tables of Transforms.
References.
Answers to Selected Exercises.
Index.
2. Fourier Series.
3. Partial Differential Equations in Rectangular Coordinates.
4. Partial Differential Equations in Polar and Cylindrical Coordinates.
5. Partial Differential Equations in Spherical Coordinates.
6. Sturm-Liouville Theory with Engineering Applications.
7. The Fourier Transform and Its Applications.
8. The Laplace and Hankel Transforms with Applications.
9. Finite Difference Numerical Methods.
10. Sampling and Discrete Fourier Analysis with Applications to Partial Differential Equations.
11. An Introduction to Quantum Mechanics.
12. Green's Functions and Conformal Mappings.
Appendix A: Ordinary Differential Equations: Review of Concepts and Methods.
Appendix B: Tables of Transforms.
References.
Answers to Selected Exercises.
Index.