| 书目名称 | Number Theory | | 副标题 | An Introduction via | | 编辑 | Benjamin Fine,Gerhard Rosenberger | | 视频video | | | 概述 | 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 presentatio | | 图书封面 |  | | 描述 | Now in its second edition, this textbook provides an introduction and overview of number theory based on the density and properties of the prime numbers. This unique approach offers both a firm background in the standard material of number theory, as well as an overview of the entire discipline. All of the essential topics are covered, such as the fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. New in this edition are coverage of .p.-adic numbers, Hensel‘s lemma, multiple zeta-values, and elliptic curve methods in primality testing..Key topics and features include:.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.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 | | 出版日期 | Textbook 2016Latest edition | | 关键词 | AKS algorithm; Cryptography; Dirichlet‘s Theorem; Hensel‘s lemma; Number Theory; Primality Testing; Prime | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-319-43875-7 | | isbn_softcover | 978-3-319-82931-9 | | isbn_ebook | 978-3-319-43875-7 | | copyright | Springer International Publishing AG 2016 |
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发表于 2025-3-21 17:23:57
