Cambridge University Press, 2013. — 419 p. 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.Contents Programming overview Ordinary differential equations Root-finding Partial differential equations Time dependent problems Integration Fourier transform Harmonic oscillators Matrix inversion The eigenvalue problem Iterative methods Minimization Chaos Neural networks Galerkin methods References Index.
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7th edition. — New York: Elsevier, Academic Press, 2013. — 1206 p. The seventh edition of Mathematical Methods for Physicists, maintains the tradition set by the six previous editions and continues to have as its objective the presentation of all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This book...
Cambridge University Press, 2007. — 1262 p.
William H. Press - Raymer Chair in Computer Sciences and Integrative Biology The University of Texas at Austin
Saul A. Teukolsky - Hans A. Bethe Professor of Physics and Astrophysics Cornell University
William T. Vetterling - Research Fellow and Director of Image Science ZINK Imaging, LLC
Brian P. Flannery - Science,...
3rd ed. — Cambridge University Press, 2006. — 1333 pages. OCR
The third edition of this highly acclaimed undergraduate text book is suitable for teaching all the mathematics ever likely to be needed for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics covered and many worked examples, it contains more than 800 exercises....