Applied partial differential equations: with Fourier series and boundary value problems

✍ Scribed by Haberman, Richard

• Publisher: Pearson Education
• Year: 2013;2014
• Tongue: English
• Leaves: 649
• Series: Pearson custom library
• Edition: 5th ed., new inte. ed
• Category: Library

✦ Synopsis

This text emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for students in science, engineering, and applied mathematics.

✦ Table of Contents

Cover......Page 1
Table of Contents......Page 4
1. Heat Equation......Page 6
2. Method of Separation of Variables......Page 38
3. Fourier Series......Page 94
4. Wave Equation: Vibrating Strings and Membranes......Page 143
5. Sturm–Liouville Eigenvalue Problems......Page 165
6. Finite Difference Numerical Methods for Partial Differential Equations......Page 233
7. Higher-Dimensional Partial Differential Equations......Page 286
8. Nonhomogeneous Problems......Page 362
9. Green’s Functions for Time-Independent Problems......Page 399
10. Infinite Domain Problems: Fourier Transform Solutions......Page 465
11. Green’s Functions for Wave and Heat Equations......Page 530
12. The Method of Characteristics for Linear and Quasilinear Wave Equations......Page 558
13. Laplace Transform Solution of Partial Differential Equations......Page 615
E......Page 646
M......Page 647
T......Page 648
Z......Page 649

✦ Subjects

Science;Mathematics