Mathematics References for Undergraduate Physicists

  1. Garrett Birkhoff and Saunders Mac Lane A Survey of Modern Algebra, 3rd ed., MacMillan, New York, 1975.
  2. George W. Bluman and Sukeyuki Kumei, Symmetries and differential equations, Springer, New York, 1996.
  3. Ruel V. Churchill, James W. Brown, and Roger V. Verhey, Complex Variables and Application, McGraw-Hill, 1974
  4. Harold T. Davis, Introduction to Nonlinear Differential and Integral Equations, Dover, New York, 1962.
  5. G. H. Hardy, A course of pure mathematics, 10th Ed., Cambridge University Press, 1952.
    If I could only have one basic calculus text this would be one of the ones that I'd choose from.
  6. G. H. Hardy, A mathematician's apology, Cambridge University Press, 1940.
  7. E.L. Ince, Ordinary Differential Equations, Longman-Green, London, 1926.
    Encyclopedic - if a problem was solved before its publication, the method will be in this book. Familiarity with this book would have prevented countless "rediscoveries."
  8. Wilfred Kaplan, Advanced calculus, 2nd ed., Addison-Wesley, Reading, Mass., 1973.
    A real advanced calculus book. Most books with this title are should really be called "An introduction to analysis."
  9. M.J. Lighthill, An introduction to Fourier analysis and generalized functions, Cambridge University Press, 1958.
    A wonderful book. Makes almost all books on Fourier analysis that preceded it irrelevant.
  10. George M. Murphy, Ordinary Differential Equations and their Solutions, Van Nostrand, New York, 1960
  11. V. B. Matveev and M.A. Salle, Darboux Transformations and Solitons, Springer-Verlag, New York, 1991.
  12. H.M. Schey Div, Grad, Curl and all that, W.W. Norton, New York, 1973.
    Want to know what vector calculus is all about? Read this book!
  13. Gilbert Strang, Calculus, Wellesley Cambridge Press, Wellesley, MA, 1991
  14. Gilbert Strang, Introduction to applied mathematics, Wellesley-Cambridge Press, Wellesley, Mass.,1986.
  15. George B. Thomas Jr.,Calculus and Analytic Geometry,2nd ed., 1953; reprinted as the Classic Edition, Addison-Wesley, Reading MA, 1982
    If I could only have one basic calculus text this would be one of the ones that I'd choose from.
  16. E. C. Titchmarsh, The theory of functions, 2nd ed., Oxford university press, 1939.
  17. E. T. Whittaker and G.N. Watson, A course of modern analysis : an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions, 4th ed., Cambridge University press, 1927.
  18. David V. Widder, Advanced Calculus, 2nd ed., Prentice-Hall, Englewood Cliffs NJ, 1961.
  19. Daniel Zwillinger, Handbook of Integration, Jones and Bartlett, Boston, 1992.
    Don't know how to integrate something? Consult this book.

Created on ... January 06, 2001