Applied Partial Differential Equations with Fourier Series and Boundary Value Problems 5th Edition

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Category : Mathematics

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Product Description:

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

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

Product Details:

Language: English ISBN-10: 0321797051 ISBN-13: 978-0321797056 ISBN-13: 9780321797056

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