An Open Door to Number Theory

An Open Door to Number Theory - AMS/MAA Textbooks

Hardback (30 May 2018)

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Publisher's Synopsis

A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The intended audience will have had exposure to proof writing, but not necessarily to abstract algebra. That audience will be well prepared by this text for a second-semester course focusing on algebraic number theory. The approach throughout is geometric and intuitive; there are over 400 carefully designed exercises, which include a balance of calculations, conjectures, and proofs. There are also nine substantial student projects on topics not usually covered in a first-semester course, including Bernoulli numbers and polynomials, geometric approaches to number theory, the $p$-adic numbers, quadratic extensions of the integers, and arithmetic generating functions.

Book information

ISBN: 9781470443481
Publisher: American Mathematical Society
Imprint: MAA Press
Pub date:
DEWEY: 512.72
DEWEY edition: 23
Language: English
Number of pages: xii, 283
Weight: 675g
Height: 254mm
Width: 178mm
Spine width: 20mm