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Partial Differential Equations: Analytical and Numerical Methods, by Mark S. Gockenbach
PDF Ebook Partial Differential Equations: Analytical and Numerical Methods, by Mark S. Gockenbach
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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.
- Sales Rank: #2615369 in Books
- Published on: 2002-10
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x 1.30" w x 5.98" l, 2.85 pounds
- Binding: Hardcover
- 636 pages
Review
'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
'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
About the Author
Mark S. Gockenbach is an Associate Professor of Mathematical Sciences at Michigan Technological University. He earned his PhD from Rice University in 1994, and has held faculty positions at Indiana University, University of Michigan, and Rice University. His research interests include inverse problems, computational optimisation, and mathematical software.
Most helpful customer reviews
3 of 3 people found the following review helpful.
A fine introduction to PDE's
By From Detroit
This book will appeal to undergraduate math majors interested in both pure and applied math. Gockenbach covers the theoretical background at a level accessible to an undergrad student with basic engineering math (though a semester of advanced calculus and may help), and then extends into the numerical analysis approach. The book is very thorough and would be a nice text book or reference for those interested in the subject.
1 of 1 people found the following review helpful.
Undergraduate PDE textbook
By Marina Chugunova
It seems to be a very good PDE textbook for undergraduate math. students.
It has enough details and examples to take a student smoothly through the
PDE course material and would definitely use this textbook for an introduction
to PDE undergraduate course.
3 of 6 people found the following review helpful.
Good text but a little dense
By A Customer
Gockenbach guides the readers through the fundamental concepts in a rigorous and pleasing manner. However, sometimes he gets so deep into a derivation that the reader forgets the purpose of even doing it in the first place. The connection to linear algebra as a framework is very good, but you almost feel that the natural progression of material is interrupted time and again by the author's soujourns into tangential topics.
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