The three core graduate mathematics courses normally taken in the first semester are:
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640:501 : Theory of Functions of a Real Variable I
Text: Real Analysis: Modern Techniques and Their Applications -
640:551 : Abstract Algebra I
Text: Nathan Jacobson, Basic Algebra, Volumes 1 and 2, second edition.
Important Note: These volumes seem to be out of print. Copies are available from various used book websites (e.g. addall.com . Please look for the book well before the semester begins. If you have trouble finding the books, please send an email addressed to BOTH grad-director@math.rutgers.edu and Professor Lepowsky (lepowsky@math.rutgers.edu). -
640:503 : Theory of Functions of a Complex Variable I
Text: Complex Analysis by Elias Stein and Rami Shakarchi