Partial Differential Equations
Analytical and Numerical Methods
£56.00
- Author: Mark S. Gockenbach, Michigan Technological University
- Date Published: October 2002
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Hardback
- isbn: 9780898715187
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Hardback
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This introductory text on partial differential equations is the first to integrate modern and classical techniques for solving PDEs at a level suitable for undergraduates. The author successfully complements the classical topic of Fourier series with modern finite element methods. The result is an up-to-date, powerful, and flexible approach to solving PDEs, which both faculty and students will find refreshing, challenging, and rewarding. Linear algebra is a key component of the text, providing a framework both for computing solutions and for understanding the theoretical basis of the methods. Although techniques are emphasized over theory, the methods are presented in a mathematically sound fashion to develop a strong foundation for further study. Numerous exercises and examples involve meaningful experiments with realistic physical parameters, allowing students to use physical intuition to understand the qualitative features of the solutions.
Read more- The accompanying CD-ROM includes thorough tutorials on using MATLAB, Mathematica, and Maple to compute and graph solutions
- The text includes thorough expositions of the background material from linear algebra and ordinary differential equations, and an emphasis on connecting mathematical results with physical understanding
- Solutions to odd-numbered exercises, including, in many cases, a complete outline of the solution process, are provided
Reviews & endorsements
'I love this book and look forward to using it as a text in the future. … It's the first truly modern approach that I've seen in a PDE text.' Maeve L. McCarthy, MAA Online Book Review
See more reviews'The introduction of FEM to an undergraduate PDE text is wonderful. It's the first truly modern approach that I've seen in a PDE text.' Maeve L. McCarthy, MAA Online Book Review
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×Product details
- Date Published: October 2002
- format: Hardback
- isbn: 9780898715187
- length: 636 pages
- dimensions: 260 x 181 x 33 mm
- weight: 1.286kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
Preface
1. Classification of differential equations
2. Models in one dimension
3. Essential linear algebra
4. Essential ordinary differential equations
5. Boundary value problems in Statics
6. Heat flow and diffusion
7. Waves
8. Problems in multiple spatial dimensions
9. More about Fourier series
10. More about finite element methods
Appendix A
Appendix B
Appendix C
Bibliography
Index.
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