Computational methods for physics / Joel Franklin, Reed College.

Format:

Book

Author/Creator:

Franklin, Joel, 1975-

Language:

English

Subjects (All):

Mathematical physics.

Physics--Data processing.

Physics.

Numerical analysis.

Physical Description:

xvii, 400 pages : illustrations ; 26 cm

Place of Publication:

Cambridge : Cambridge University Press, 2013.

Summary:

"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"-- Provided by publisher.

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.

Notes:

Includes bibliographical references and index.

ISBN:

1107034302

9781107034303

OCLC:

820434099

Publisher Number:

99954984576