Partial Differential Equations with Fourier Series and Boundary Value Problems 2/e (絕)
- 20本以上，享 8.5折
售價
$
洽詢
- 一般書籍
- ISBN：9780132449007
- 作者：Nakhle H. Asmar
- 版次：2
- 年份：2005
- 出版商：Pearson Education
- 頁數/規格：818頁/平裝單色
書籍介紹
目錄
Description
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.
Table of Contents
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
Index
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
Index
