Added Reading

• Linear Algebra:
  • Linear Algebra, Georgi E. Shilov, Dover, New York, 1977.  ISBN-13 978-0-486-63518-7
  • Linear Algebra Done Right, 2nd edition, Sheldon Axler, Springer, New York, 1997.   ISBN 0-387-98258-2
  • Matrices and Linear Transformations, Charles G. Cullen, Dover, New York, 1972. ISBN-13 978-0-486-66328-9
  • Introduction to Matrices and Linear Transformations, Daniel T. Finkbeiner, II, W.H. Freeman and Company, ISBN-13 978-0486481593
• Calculus books:
  • Differential and Integral Calculus, Volume I, R. Courant, ISBN-13: 978-4871878388 (rigorous but accessible account of calculus)
  • Differential and Integral Calculus, Volume II, R. Courant, ISBN-13: 978-4871878357 (rigorous but accessible account of advanced calculus)
  • Mathematical Methods of Classical Mechanics, V.I. Arnold, Springer, New York, 1974, 1978, 1989, ISBN 978-0-387-96890. (clear presentation of advanced topics in mechanics and calculus such as differential forms)
• Relativity
  • Introduction to the Theory of Relativity, Peter G. Bergman, Prentice-Hall, NJ, 1942. (pages 16-27 discuss experimental evidence regarding the propagation of light, available from Amazon)