
Number Theory
Description
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Key topics and features include:
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A solid introduction to analytic number theory, including full proofs of Dirichlet's Theorem and the Prime Number Theorem
- Concise treatment of algebraic number theory, including a complete presentation of primes, prime factorizations in algebraic number fields, and unique factorization of ideals
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Discussion of the AKS algorithm, which shows that primality testing is one of polynomial time, a topic not usually included in such texts
- Many interesting ancillary topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbers
Reviews / Votes
"In this text, Fine (mathematics, Fairfield Univ.) and Rosenberger (Univ. of Hamburg, Germany) successfully present number theory from the inception of primes to recent developments in algebraic and analytic number theory and cryptography. . Numerous exercises and open problems are provided. The breadth and depth of topics covered are impressive, making this an excellent text for those interested in the field of number theory. Summing Up: Recommended. Upper-division undergraduates and graduate students." (J. T. Zerger, Choice, Vol. 54 (9), May, 2017)
"The book is chatty and leisurely, with lots of historical notes and lots of worked examples. The exercises at the end of each chapter are good and there are a reasonable number of them. . a good text for an introductory course . ." (Allen Stenger, MAA Reviews, maa.org, November, 2016)More details
Other editions
Additional editions

Persons
Benjamin Fine, PhD, is Professor of Mathematics at Fairfield University, CT, USA.
Gerhard Rosenberger, PhD, is Professor (retired) at Dortmund University of Technology, Germany.
Content
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File format: PDF
Copy protection: Watermark-DRM (Digital Rights Management)
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