This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. Finding integer solutions led to two fundamental ideas of number theory in ancient times - the Euclidean algorithm and unique prime factorization - and in modern times to two fundamental ideas of algebra - rings and ideals. The development of these ideas, and the transition from ancient to modern, is the main theme of the book. The historical development has been followed where it helps to motivate the introduction of new concepts, but modern proofs have been used where they are simpler, more natural, or more interesting. These include some that have not yet appeared in textbooks, such as a treatment of the Pell equation using Conway's theory of quadratic forms. Also, this is the only elementary number theory book that includes significant applications of ideal theory. It is clearly written, well illustrated, and supplied with carefully designed exercises, making it a pleasure to use as an undergraduate textbook or for independent study. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer-Verlag, including Mathematics and Its History (Second Edition 2001), Numbers and Geometry (1997) and Elements of Algebra (1994).
Written for:
undergraduate mathematics stud mathematics teachers
發表於2024-11-27
Elements of Number Theory 2024 pdf epub mobi 電子書 下載
此書將數論中的精華(elements)娓娓道齣,對概念的曆史來源和解釋都十分清晰。每一小節都附有3,4道容易解決的習題,幫助理解復習。我完全沒學過數論,一個星期也讀瞭60頁,欲罷不能。總而言之,這是一本很好的入門書,推薦。
評分此書將數論中的精華(elements)娓娓道齣,對概念的曆史來源和解釋都十分清晰。每一小節都附有3,4道容易解決的習題,幫助理解復習。我完全沒學過數論,一個星期也讀瞭60頁,欲罷不能。總而言之,這是一本很好的入門書,推薦。
評分此書將數論中的精華(elements)娓娓道齣,對概念的曆史來源和解釋都十分清晰。每一小節都附有3,4道容易解決的習題,幫助理解復習。我完全沒學過數論,一個星期也讀瞭60頁,欲罷不能。總而言之,這是一本很好的入門書,推薦。
評分此書將數論中的精華(elements)娓娓道齣,對概念的曆史來源和解釋都十分清晰。每一小節都附有3,4道容易解決的習題,幫助理解復習。我完全沒學過數論,一個星期也讀瞭60頁,欲罷不能。總而言之,這是一本很好的入門書,推薦。
評分此書將數論中的精華(elements)娓娓道齣,對概念的曆史來源和解釋都十分清晰。每一小節都附有3,4道容易解決的習題,幫助理解復習。我完全沒學過數論,一個星期也讀瞭60頁,欲罷不能。總而言之,這是一本很好的入門書,推薦。
圖書標籤: 數論 數學 theory Math 認知心理學 解析數論7 number
高一讀完的,當時不懂抽代,所以效果不太好...
評分一本有趣的書。
評分果然S大的每本書都有一些其他書上幾乎見不到的東西
評分本來是打算找本薄的書拿來復習初等數論,結果發現這本是非常棒的代數數論入門書。
評分高一讀完的,當時不懂抽代,所以效果不太好...
Elements of Number Theory 2024 pdf epub mobi 電子書 下載