Online books
Mathematics:
- James Nearing, Mathematical Tools for Physics, Dover Publications, 2010.
- Michael Stone and Paul Goldbart, Mathematics for Physics (also here), Cambridge University Press, 2009.
- Herbert Wilf, Mathematics for the Physical Sciences, Dover Publications, 2006.
- Michael P. Brenner, Physical Mathematics, Harvard AM201, 2010.
- Sean Mauch, Advanced Mathematical Methods for Scientists and Engineers
- Eric L. Michelsen, Funky Mathematical Physics Concepts
- E. T. Whittaker and G. N. Watson, Course of Modern Analysis, Cambridge University Press, 1920.
- H.W. Wyld, Mathematical Methods for Physics, Benjamin, 1976
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NIST Digital Library of Mathematical Functions,
Release 1.0.9 of 2014-08-29.
Online companion to: F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark, editors. NIST Handbook of Mathematical Functions. Cambridge University Press, 2010.
Dimensional analysis and approximation:
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Sanjoy Mahajan,
Street-Fighting Mathematics - The Art of Educated Guessing and Opportunistic Problem Solving
The pdf download link hides under the name "Creative Commons Edition"
- Sanjoy Mahajan, Lies and Damn Lies: The Art of Approximation in Science
- Peter Goldreich, Sanjoy Mahajan, Sterl Phinney, Order-of-Magnitude Physics