Mathematics References for Undergraduate Physicists
- Garrett Birkhoff and Saunders Mac Lane A Survey of Modern Algebra, 3rd ed., MacMillan, New York, 1975.
- George W. Bluman and Sukeyuki Kumei, Symmetries and differential equations, Springer, New York, 1996.
- Ruel V. Churchill, James W. Brown, and Roger V. Verhey, Complex Variables and Application, McGraw-Hill, 1974
- Harold T. Davis, Introduction to Nonlinear Differential and Integral Equations, Dover, New York, 1962.
- 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.
- G. H. Hardy, A mathematician's apology, Cambridge University Press, 1940.
- 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."
- 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."
- 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.
- George M. Murphy, Ordinary Differential Equations and their Solutions, Van Nostrand, New York, 1960
- V. B. Matveev and M.A. Salle, Darboux Transformations and Solitons, Springer-Verlag, New York, 1991.
- 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!
- Gilbert Strang, Calculus, Wellesley Cambridge Press, Wellesley, MA, 1991
- Gilbert Strang, Introduction to applied mathematics, Wellesley-Cambridge Press, Wellesley, Mass.,1986.
- 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.
- E. C. Titchmarsh, The theory of functions, 2nd ed., Oxford university press, 1939.
- 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.
- David V. Widder, Advanced Calculus, 2nd ed., Prentice-Hall, Englewood Cliffs NJ, 1961.
- 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