科学和通信中的数论-在密码学,物理学,数字信息,计算和自相似性中的应用,第4版

M. Schroeder
{"title":"科学和通信中的数论-在密码学,物理学,数字信息,计算和自相似性中的应用,第4版","authors":"M. Schroeder","doi":"10.5860/choice.35-2768","DOIUrl":null,"url":null,"abstract":"\"Number Theory in Science and Communication\" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudo primes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions \"I continue to find [Schroeders] Number Theory a goldmine of valuable information. It is a marvelous book, in touch with the most recent applications of number theory and written with great clarity and humor. Philip Morrison (Scientific American) \"A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor useful mathematics outside the formalities of theorem and proof.\" Martin Gardner","PeriodicalId":173976,"journal":{"name":"Springer Series in Information Sciences","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"22","resultStr":"{\"title\":\"Number theory in science and communication - with applications in cryptography, physics, digital information, computing, and self-similarity, 4th Edition\",\"authors\":\"M. Schroeder\",\"doi\":\"10.5860/choice.35-2768\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\\"Number Theory in Science and Communication\\\" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudo primes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions \\\"I continue to find [Schroeders] Number Theory a goldmine of valuable information. It is a marvelous book, in touch with the most recent applications of number theory and written with great clarity and humor. Philip Morrison (Scientific American) \\\"A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor useful mathematics outside the formalities of theorem and proof.\\\" Martin Gardner\",\"PeriodicalId\":173976,\"journal\":{\"name\":\"Springer Series in Information Sciences\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"22\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Springer Series in Information Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5860/choice.35-2768\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Springer Series in Information Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5860/choice.35-2768","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 22

摘要

《科学与传播中的数论》是非数学家对应用数学中这个迷人而有用的分支的著名介绍。它强调直观的理解而不是抽象的理论,强调连分式、黄金比例、二次残数和中国余数、陷门函数、伪素数和原始元等重要概念。它们在现实世界中的应用是本书的主题之一。修订后的第五版增加了编码理论、排列和无序以及量子密码学的最新进展。从对早期版本的评论中,“我不断发现[施罗德]数论是一座有价值信息的金矿。这是一本了不起的书,涉及到数论的最新应用,写得非常清晰和幽默。菲利普·莫里森(科学美国人)“这是一本轻松易读的书,具有广泛的应用,作者在定理和证明形式之外的有用数学方面做出了富有成效的贡献。”马丁·加德纳
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Number theory in science and communication - with applications in cryptography, physics, digital information, computing, and self-similarity, 4th Edition
"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudo primes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions "I continue to find [Schroeders] Number Theory a goldmine of valuable information. It is a marvelous book, in touch with the most recent applications of number theory and written with great clarity and humor. Philip Morrison (Scientific American) "A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor useful mathematics outside the formalities of theorem and proof." Martin Gardner
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信