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Computational Methods for Physics

Author: Joel Franklin, Reed College, Oregon

Date Published: April 2013
availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
format: Adobe eBook Reader
isbn: 9781107070257

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There is an increasing need for undergraduate students in physics to have a core set of computational tools. Most problems in physics benefit from numerical methods, and many of them resist analytical solution altogether. This textbook presents numerical techniques for solving familiar physical problems where a complete solution is inaccessible using traditional mathematical methods. The numerical techniques for solving the problems are clearly laid out, with a focus on the logic and applicability of the method. The same problems are revisited multiple times using different numerical techniques, so readers can easily compare the methods. The book features over 250 end-of-chapter exercises. A website hosted by the author features a complete set of programs used to generate the examples and figures, which can be used as a starting point for further investigation. A link to this can be found at www.cambridge.org/9781107034303.
- Uses compelling physical problems already familiar to students, yet whose solution is inaccessible using traditional mathematical methods
- Presents mathematical technique for solving problems, often using same problems multiple times so students can easily compare the methods
- Features over 250 end-of-chapter exercises
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'Computational Methods for Physics by Joel Franklin is a numerical analysis text written from the point of a physicist and pitched at upper-level physics students. It is different from what you might see in a text written by an applied mathematician. The core [chapters] of the text … each … [discuss] a numerical method … and … [have] a section on the physical motivation for needing the technique. In addition there are chapters on chaos and neural networks. Each chapter contains a good list of problems, both mathematical and computational. … This text is an excellent introduction to using numerical methods …' Jan Tobochnik, American Journal of Physics
'Joel Franklin's approach in this text is very much that of the physicist, in that he takes great pains to demonstrate the range of physical problems to which each computational technique might be applied before introducing the numerical method itself. … This book takes an original approach to teaching numerical methods to undergraduate physicists, and broadly succeeds in its task. There is a good range of material, and it is clearly presented at an appropriate level. It has great potential as a course text.' A. H. Harker, Contemporary Physics
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Product details
- Date Published: April 2013
- format: Adobe eBook Reader
- isbn: 9781107070257
- contains: 107 b/w illus. 264 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Programming overview
2. Ordinary differential equations
3. Root-finding
4. Partial differential equations
5. Time dependent problems
6. Integration
7. Fourier transform
8. Harmonic oscillators
9. Matrix inversion
10. The eigenvalue problem
11. Iterative methods
12. Minimization
13. Chaos
14. Neural networks
15. Galerkin methods
References
Index.
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Author
Joel Franklin, Reed College, Oregon
Joel Franklin is an Associate Professor in the physics department at Reed College, Oregon. He focuses on mathematical and computational methods with applications to classical mechanics, quantum mechanics, electrodynamics, general relativity, and modifications of general relativity.