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Product Details:
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.
Language: English
ISBN-10: 0321797051
ISBN-13: 978-0321797056
ISBN-13: 9780321797056
Author: Richard Haberman
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Table of Contents
Chapter 1. Heat Equation
Chapter 2. Method of Separation of Variables
Chapter 3. Fourier Series
Chapter 4. Wave Equation: Vibrating Strings and Membranes
Chapter 5. Sturm-Liouville Eigenvalue Problems
Chapter 6. Finite Difference Numerical Methods for Partial Differential Equations
Chapter 7. Higher Dimensional Partial Differential Equations
Chapter 8. Nonhomogeneous Problems
Chapter 9. Green’s Functions for Time-Independent Problems
Chapter 10. Infinite Domain Problems: Fourier Transform Solutions of Partial Differential Equations
Chapter 11. Green’s Functions for Wave and Heat Equations
Chapter 12. The Method of Characteristics for Linear and Quasilinear Wave Equations
Chapter 13. Laplace Transform Solution of Partial Differential Equations
Chapter 14. Dispersive Waves: Slow Variations, Stability, Nonlinearity, and Perturbation Methods
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