An Open Door to Number Theory (MAA Textbooks) (AMS / MAA Textbooks) 🔍
Duff Campbell
Providence, Rhode Island: MAA Press, an imprint of the American Mathematical Society, American Mathematical Society, Providence, Rhode Island, 2018
English [en] · PDF · 14.6MB · 2018 · 📗 Book (unknown) · 🚀/ia · Save
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.
Alternative author
Campbell, Duff, 1959- author
Alternative publisher
Education Development Center, Incorporated
Alternative edition
AMS/MAA textbooks, volume 39, Providence, Rhode Island, 2018
Alternative edition
United States, United States of America
Alternative description
This textbook is for elementary number theory. The approach throughout is geometric and intuitive; there are over 400 exercises, which include a balance of calculations, conjectures, and proofs. There are also nine substantial student projects on topics including Bernoulli numbers and polynomials, geometric approaches to number theory, the p-adic numbers, quadratic extensions of the integers, and arithmetic generating functions
Alternative description
xii, 283 pages : 26 cm
Includes bibliographical references (page 279) and index
Includes bibliographical references (page 279) and index
Alternative description
Duff Campbell. Includes Bibliographical References And Index.
date open sourced
2024-07-01
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