I want this title to be available as an eBook

Partial Differential Equations

2nd Edition

Author: Mark S. Gockenbach

Date Published: December 2010
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: 9780898719352

Rate & review

Hardback

Add to wishlist

Looking for an inspection copy?

This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.

Description

Undergraduate courses on partial differential equations (PDEs) have traditionally been based on the Fourier series method for analysing and solving PDEs. What this textbook offers is a fresh approach; the traditional method taught alongside the modern finite element method. Both powerful methods are introduced to the reader and emphasised equally. A further beneficial feature of the book is that it uses the language of linear algebra, in particular in emphasising the role of best approximation in function spaces and the idea of an eigenfunction expansion. Its inclusion of realistic physical experiments for many examples and exercises will make the book appealing to science and engineering students, as well as students of mathematics. This second edition has a broader coverage of PDE methods and applications than the first, with the inclusion of chapters on the method of characteristics, Green's functions, Sturm–Liouville problems and a section on finite difference methods.
- Tutorials are provided that explain the features of MATLAB, Mathematica and Maple which are useful for the material in the book
- The text includes thorough expositions of the background material from linear algebra and ordinary differential equations
- The only prerequisite is a course in ordinary differential equations
Read more
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 McCarthy, MAA Online

Customer reviews

Not yet reviewed
Be the first to review

Log in to review

Review was not posted due to profanity
×

, create a review

(If you're not , sign out)

Please enter the right captcha value

Please enter a star rating.

Your review must be a minimum of 12 words.

How do you rate this item?

Reviews must contain at least 12 words about the product.

×

Product details
- Edition: 2nd Edition
- Date Published: December 2010
- format: Hardback
- isbn: 9780898719352
- length: 674 pages
- dimensions: 261 x 183 x 35 mm
- weight: 1.3kg
- contains: 150 b/w illus.
- 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. First-order PDEs and the method of characteristics
9. Green's functions
10. Sturm–Liouville eigenvalue problems
11. Problems in multiple spatial dimensions
12. More about Fourier series
13. More about finite element methods
Appendix A. Proof of Theorem 3.47
Appendix B. Shifting the data in two dimensions
Bibliography
Index.
Resources for

Partial Differential Equations

Mark S. Gockenbach
General Resources
- Resources
Find resources associated with this title
Back to resources home

Your search for '' returned .
Type Name Unlocked * Format Size

Showing of

Back to top

This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

If you are having problems accessing these resources please contact lecturers@cambridge.org.
Author
Mark S. Gockenbach
Mark Gockenbach is Professor and Chair of the Department of Mathematical Sciences at Michigan Technological University. He is the author of Partial Differential Equations: Analytical and Numerical Methods (SIAM, 2002) and Understanding and Implementing the Finite Element Method (SIAM, 2006). His research interests include inverse problems in partial differential equations and numerical methods and software for large-scale optimization problems.