An Open Door to Number Theory (MAA Textbooks) (AMS / MAA Textbooks) by Duff Campbell (PDF)

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Ebook Info

  • Published: 2018
  • Number of pages: 283 pages
  • Format: PDF
  • File Size: 2.86 MB
  • Authors: Duff Campbell

Description

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.

User’s Reviews

Editorial Reviews: Review [The book] weaves a path through various interesting topics and shows how they are connected and can be extended. –Allen Stenger, MAA Reviews About the Author Duff Campbell, Hendrix College, Conway, AR.

Reviews from Amazon users which were colected at the time this book was published on the website:

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