Partial Differential Equations and Boundary Value Problems
Published on 5. October 1999
Book
Hardback
598 pages
978-0-13-958620-0 (ISBN)
Description
For introductory courses in PDEs taken by majors in engineering, physics, and mathematics.
Packed with examples, this text provides a smooth transition from a course in elementary ordinary differential equations to more advanced concepts in a first course in partial differential equations. Asmar's relaxed style and emphasis on applications make the material understandable even for students with limited exposure to topics beyond calculus. This computer-friendly text encourages the use of computer resources for illustrating results and applications, but it is also suitable for use without computer access. Additional specialized topics are included that are covered independently of each other and can be covered by instructors as desired.
Packed with examples, this text provides a smooth transition from a course in elementary ordinary differential equations to more advanced concepts in a first course in partial differential equations. Asmar's relaxed style and emphasis on applications make the material understandable even for students with limited exposure to topics beyond calculus. This computer-friendly text encourages the use of computer resources for illustrating results and applications, but it is also suitable for use without computer access. Additional specialized topics are included that are covered independently of each other and can be covered by instructors as desired.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 241 mm
Width: 210 mm
Thickness: 31 mm
Weight
1247 gr
ISBN-13
978-0-13-958620-0 (9780139586200)
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
New editions
Nakhle H. Asmar
Partial Differential Equations and Boundary Value Problems with Fourier Series
International Edition
Book
04/2010
2nd Edition
Pearson
€97.32
Article is exhausted; no reprint
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.
Supplement on Convergence.
3. Partial Differential Equations in Rectangular Coordinates.
4. Partial Differential Equations in Polar and Cylindrical Coordinates.
Supplement on Bessel Functions.
5. Partial Differential Equations in Spherical Coordinates.
Supplement on Legendre Functions.
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.
Supplement on Orthogonal Polynomials.
Appendix A: Ordinary Differential Equations: Review of Concepts and Methods.
Appendix B: Tables of Transforms.
References.
Answers to Selected Exercises.
Index.
2. Fourier Series.
Supplement on Convergence.
3. Partial Differential Equations in Rectangular Coordinates.
4. Partial Differential Equations in Polar and Cylindrical Coordinates.
Supplement on Bessel Functions.
5. Partial Differential Equations in Spherical Coordinates.
Supplement on Legendre Functions.
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.
Supplement on Orthogonal Polynomials.
Appendix A: Ordinary Differential Equations: Review of Concepts and Methods.
Appendix B: Tables of Transforms.
References.
Answers to Selected Exercises.
Index.