References for PHYS:4761 Mathematical Methods of Physics I

Mathematics Textbooks

• R. V. Churchill and J. W. Brown, Complex Variables and Applications, 5th ed., 1990.
• C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, 1978.

Mathematics References

• M. R. Spiegel, S. Lipschutz, and J. Liu Schaum's Outlines: Mathematical Handbook of Formulas and Tables, 4th ed., New York: McGraw-Hill, 2013.
  An indispensable reference for many frequently used formulas.
• M. Abramowitz and I. A. Stegun Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover, 1974.
• I. S. Gradshteyn and I. M. Ryzhik Table of Integrals, Series, and Products , 7th ed., New York: Academic Press, 2007.
• Huba, J.D. NRL Plasma Formulary , 2016 ed., Naval Research Laboratory, 2016.
  An incredibly handy booklet of formulas, including vector identities, integral theorems, and curvilinear coordinates.

Numerical Methods References

• W.H. Press, S.A. Teukolsky, W. T. Vetterling, and B.P. Flannery, Numerical Recipes: The Art of Scientific Computing, 3rd edition, Cambridge University Press, 2007.
  This is the bible of numerical methods, a true must-have for any serious scientist. The website http://www.nr.com/ has links to the old second version which is freely available online.
• A. Iserles, A First Course in the Numerical Analysis of Differential Equations, Cambridge University Press, 1996.
  efs A more mathematically formal treatment of numerical analysis.