| 书目名称 | From Great Discoveries in Number Theory to Applications | | 编辑 | Michal Křížek,Lawrence Somer,Alena Šolcová | | 视频video | http://file.papertrans.cn/349/348704/348704.mp4 | | 概述 | Presents not only theoretical results, but gives real-life technical applications of number theory.Illustrates the close connection between number theory, graph theory, the theory of groups, and geome | | 图书封面 |  | | 描述 | .This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics. In particular, it presents the main ideas of error-detecting and error-correcting codes, digital signatures, hashing functions, generators of pseudorandom numbers, and the RSA method based on large prime numbers. A diverse array of topics is covered, from the properties and applications of prime numbers, some surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind Prague’s astronomical clock. Introducing a general mathematical audience to some of the basic ideas and algebraic methods connected with various types of natural numbers, the book will provide invaluable reading for amateurs and professionals alike.. | | 出版日期 | Book 2021 | | 关键词 | Natural Numbers; Primes; Finite Graphs; Pseudoprimes; Figural Numbers; Triangular Numbers; Coding; Cryptogr | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-83899-7 | | isbn_softcover | 978-3-030-83901-7 | | isbn_ebook | 978-3-030-83899-7 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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