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Elements of Partial Differential Equations
Publisher:
Walter de Gruyter
Publication Date:
2014
Number of Pages:
277
Format:
Paperback
Edition:
2
Series:
De Gruyter Textbook
Price:
49.00
ISBN:
9783110316650
Category:
Textbook
[Reviewed by , on ]
Fernando Q. Gouvêa
10/6/2014
See our review of the first edition. The authors have made changes based on their experience teaching from the book, adding some new material and reorganizing the exposition.
- Frontmatter
- Preface
- Contents
- Chapter 1. Motivation, Derivation of Basic Mathematical Models
- Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions
- Chapter 3. Linear Partial Differential Equations of the First Order
- Chapter 4. Wave Equation in One Spatial Variable – Cauchy Problem in R
- Chapter 5. Diffusion Equation in One Spatial Variable – Cauchy Problem in R
- Chapter 6. Laplace and Poisson Equations in Two Dimensions
- Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations
- Chapter 8. Solutions of Boundary Value Problems for Stationary Equations
- Chapter 9. Methods of Integral Transforms
- Chapter 10. General Principles
- Chapter 11. Laplace and Poisson equations in Higher Dimensions
- Chapter 12. Diffusion Equation in Higher Dimensions
- Chapter 13. Wave Equation in Higher Dimensions
- Appendix A. Sturm-Liouville Problem
- Appendix B. Bessel Functions
- Some Typical Problems Considered in this Book
- Notation
- Bibliography
- Index
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