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Colleges are responsible for admitting students to Cambridge. A Cambridge College is more than just a hall of residence: it’s a place where you’ll do a lot of living, studying and socialising. Your College community will include undergraduate and research students, teachers and lecturers. But you’ll also make friends with students from other Colleges in Cambridge!

but you will have a room of your own (unless you choose one of the specially-designed shared options).

The personal teaching and support available within the Cambridge Colleges is the most distinctive feature of the collegiate system.

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.

It’s high time to realize that standardized tests are overhyped. While educational institutions compete in training their students to become even better test takers, skills that are difficult to quantify in test results—like lab talent—are increasingly being neglected.

Standardized tests can help provide a solid floor of academic achievement, but we must be very careful that it doesn’t produce an artificially low ceiling as well!

Elementary Number Theory and Its Applications is noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. Computational exercises and computer projects are also provided. In addition to years of use and professor feedback, the fifth edition of this text has been thoroughly checked to ensure the quality and accuracy of the mathematical content and the exercises. The blending of classical theory with modern applications is a hallmark feature of the text. The Fifth Edition builds on this strength with new examples and exercises, additional applications and increased cryptology coverage. The author devotes a great deal of attention to making this new edition up-to-date, incorporating new results and discoveries in number theory made in the past few years.