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# Partial Differential Equations: Methods And Applications

## byRobert Mcowen

### Paperback | October 29, 2002

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$125.10

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### about

** ** Designed to prepare readers to better understand the current literature in research journals, this book explains the basics of classical PDEs and a wide variety of more modern methods—especially the use of functional analysis—which has characterized much of the recent development of PDEs. It gives equal treatment to elliptic, hyperbolic, and parabolic theory, and features an abundance of applications to equations that are important in physics and engineering—both on the basic and more advanced level. Provides worked, figures and illustrations, and extensive references to other literature. ** ** First-Order Equations. Principles for Higher-Order Equations. The Wave Equation. The Laplace Equation. The Heat Equation. Linear Functional Analysis. Differential Calculus Methods. Linear Elliptic Theory. Two Additional Methods. Systems of Conservation Laws. Linear and Nonlinear Diffusion. Linear and Nonlinear Waves. Nonlinear Elliptic Equations. Appendix on Physics. ** ** For anyone using PDEs in physics and engineering applications.

### Details & Specs

The following ISBNs are associated with this title:

ISBN - 10:0130093351

ISBN - 13:9780130093356

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Table of Contents

**Introduction.**

**1. First-Order Equations.**

**2. Principles for Higher-Order Equations.**

**3. The Wave Equation.**

**4. The Laplace Equation.**

**5. The Heat Equation.**

**6. Linear Functional Analysis.**

**7. Differential Calculus Methods.**

**8. Linear Elliptic Theory.**

**9. Two Additional Methods.**

**10. Systems of Conservation Laws.**

**11. Linear and Nonlinear Diffusion.**

**12. Linear and Nonlinear Waves.**

**13. Nonlinear Elliptic Equations.**

**Appendix on Physics.**

**Hints and Solutions for Selected Exercises.**

**References.**

**Index.**

**Index of Symbols.**