Probability and Statistics

• P. Hoel, S. Port and C. Stone, Introduction to Probability Theory, 1st Edition, Brooks Cole, 1972.

Groups and Symmetry

• Joseph A. Gallian, Contemporary Abstract Algebra.

Linear Algebra and Differential Equations: 

• Kenneth Hoffman and Ray Kunze, Linear Algebra, 2nd Edition, Prentice Hall, 1971.

• Erwin Kreyszig, Advanced Engineering Mathematics, 9th Edition, Wiley, 2007.

Calculus on ℝ^n:

• J. R. Munkres, Analysis on Manifolds, Addison Wesley, 1997.

• W. Rudin, Principles of Mathematical Analysis, 3rd Edition, Mc Graw Hill, 1986.

     Advanced Measure Theory:

• H. L. Royden, Real Analysis, 3rd Edition, Prentice Hall, 1988.

• M. E. Taylor, Measure Theory, AMS, 2006.