Analysis II

• Terence Tao, An introduction to measure theory, AMS Publication.

• Gerald B. Folland, Real analysis, second ed., Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1999, Modern techniques and their applications, A Wiley-Interscience Publication.

• Elias M. Stein and Rami Shakarchi, Real analysis, Princeton Lectures in Analysis, vol. 3, Princeton University Press, Princeton, NJ, 2005, Measure theory, integration, and Hilbert spaces.

• Walter Rudin, Real and complex analysis, third ed., McGraw-Hill Book Co., New York, 1987.

     Probability Theory

• William Feller, An introduction to probability theory and its applications. Vol. I, Third edition, John Wiley & Sons, Inc., New York-London-Sydney, 1968.

• William Feller, An introduction to probability theory and its applications. Vol. II, Second edition, John Wiley & Sons, Inc., New York-London-Sydney, 1971.

• Sheldon Ross, A first course in probability, ninth ed., Macmillan Co., New York; Collier Macmillan Ltd., London, 1984.

     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.