Physics 2400, Mathematical methods for the physical sciences, Spring Semester 2017

Scientific computing

Cleve Moler (MathWorks), Numerical Computing with MATLAB
Numerical Computing with MATLAB is a textbook for an introductory course in numerical methods, ..., and technical computing. The emphasis is on informed use of mathematical software. We want you learn enough about the [available software] that you will be able to use [it] correctly, appreciate [its] limitations, and modify [it] when necessary to suit your own needs.
Morten Hjorth-Jensen (University of Oslo), Computational Physics, 2014
Eric Ayars (California State University, Chico), Computational Physics with Python
Christian D. Ott, Andrew Benson, and Michael W. Eastwood (Caltech), Computational Astrophysics
Victor Eijkhout (University of Texas at Austin), Introduction to High-Performance Scientific Computing , 2015

Richard Feynman, Mathematical Methods/Techniques in Physics and Engineering, Feynman Hughes Lectures, Oct. 1970 - June 1971, notes by John T. Neer
Richard Feynman, Mathematical Methods, Cornell lectures, October 1946 - January 1947, notes by James Keck
Richard Feynman, Mathematical Methods, Cornell lectures, February 1947 - May 1947, notes by James Keck
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
Matthias Beck, Gerald Marchesi, Dennis Pixton, and Lucas Sabalka, A First Course in Complex Analysis, Open textbook, 2014
J. S. B. Gajjar, Advanced Mathematical Methods, Manchester, 2012
Henry van Roessel and John C. Bowman, Asymptotic Methods, University of Alberta, 2012
NIST Digital Library of Mathematical Functions,
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.