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There is no mandatory book for the course. One recommendation is Niven, Zuckerman, and Montgomery's An Introduction to the Theory of Numbers. Hardy and Wright's book of the same name is a classic. Other useful books are LeVeque's Fundamentals of Number Theory, and Stark's An introduction to number theory. Copies of these books have been placed on reserve in the Math library.

In reviewing a textbook, one should consider the background of the book's audience. I believe that this text by Stein and Shakarchi on complex analysis is outstanding, and is appropriate for a student who has the background of a course in real analysis at the level of Rudin's "Principles of Mathematical Analysis".

The text has a number of strengths. Some of these are the following: 1. The choice of material and the order of presentation are superb. Just to give you a sample, within the first 100 pages, the authors cover Runge's Theorem, the Schwarz Reflection Principle, Riemann's Theorem on Removable Singularities, the Casorati-Weierstrass Theorem, Rouche's Theorem, and the homotopy version of Cauchy's Integral Theorem. The novice is thus treated to some beautiful mathematics very quickly.

3. The proofs are very clear and elegant. The main ideas are emphasized, and just enough details are given so that a diligent student with the background stated above will be able to grasp the arguments.