| 书目名称 | Elementary Methods in Number Theory | | 编辑 | Melvyn B. Nathanson | | 视频video | | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are proved using only elementary methods. Part II is about multiplicative number theory, and includes two of the most famous results in mathematics: the Erdös-Selberg elementary proof of the prime number theorem, and Dirichlets theorem on primes in arithmetic progressions. Part III is an introduction to three classical topics in additive number theory: Warings problems for polynomials, Liouvilles method to determine the number of representations of an integer as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi | | 出版日期 | Textbook 2000 | | 关键词 | Prime; Prime number; Waring‘s problem; calculus; number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/b98870 | | isbn_softcover | 978-1-4757-7392-7 | | isbn_ebook | 978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Melvyn B. Nathanson 2000 |
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发表于 2025-3-21 16:54:13
