| 书目名称 | Number Theory | | 副标题 | An Introduction via | | 编辑 | Benjamin Fine,Gerhard Rosenberger | | 视频video | | | 概述 | Solid introduction to analytic number theory, including full proofs of Dirichlet’s Theorem and the Prime Number Theorem.Combines user-friendly style, historical context and a wide range of exercises f | | 图书封面 |  | | 描述 | Number theory is fascinating. Results about numbers often appear magical, both in theirstatementsandintheeleganceoftheirproofs. Nowhereisthismoreevidentthan inresultsaboutthesetofprimenumbers. Theprimenumbertheorem,whichgivesthe asymptotic density of the prime numbers, is often cited as the most surprising result in all of mathematics. It certainly is the result that is hardest to justify intuitively. The prime numbers form the cornerstone of the theory of numbers. Many, if not most, results in number theory proceed by considering the case of primes and then pasting the result together for all integers using the fundamental theorem of arithmetic. The purpose of this book is to give an introduction and overview of number theory based on the central theme of the sequence of primes. The richness of this somewhat unique approach becomes clear once one realizes how much number theoryandmathematicsingeneralareneededinordertolearnandtrulyunderstandthe prime numbers. Our approach provides a solid background in the standard material as well as presenting an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadr | | 出版日期 | Textbook 20071st edition | | 关键词 | Mersenne number; Number theory; Prime; Prime number; algorithms; analysis; cryptography; linear algebra; mat | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4541-0 | | isbn_ebook | 978-0-8176-4541-0 | | copyright | Birkhäuser Boston 2007 |
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发表于 2025-3-21 18:21:42
