找回密码
 To register

QQ登录

只需一步,快速开始

扫一扫,访问微社区

Titlebook: A Concrete Introduction to Higher Algebra; Lindsay N. Childs Textbook 19952nd edition Springer Science+Business Media New York 1995 algebr

[复制链接]
查看: 9959|回复: 52
发表于 2025-3-21 18:45:11 | 显示全部楼层 |阅读模式
期刊全称A Concrete Introduction to Higher Algebra
影响因子2023Lindsay N. Childs
视频video
学科分类Undergraduate Texts in Mathematics
图书封面Titlebook: A Concrete Introduction to Higher Algebra;  Lindsay N. Childs Textbook 19952nd edition Springer Science+Business Media New York 1995 algebr
影响因子This book is written as an introduction to higher algebra for students with a background of a year of calculus. The first edition of this book emerged from a set of notes written in the 1970sfor a sophomore-junior level course at the University at Albany entitled "Classical Algebra." The objective of the course, and the book, is to give students enough experience in the algebraic theory of the integers and polynomials to appre­ ciate the basic concepts of abstract algebra. The main theoretical thread is to develop algebraic properties of the ring of integers: unique factorization into primes, congruences and congruence classes, Fermat‘s theorem, the Chinese remainder theorem; and then again for the ring of polynomials. Doing so leads to the study of simple field extensions, and, in particular, to an exposition of finite fields. Elementary properties of rings, fields, groups, and homomorphisms of these objects are introduced and used as needed in the development. Concurrently with the theoretical development, the book presents a broad variety of applications, to cryptography, error-correcting codes, Latin squares, tournaments, techniques of integration, and especially to elemen­ tar
Pindex Textbook 19952nd edition
The information of publication is updating

书目名称A Concrete Introduction to Higher Algebra影响因子(影响力)




书目名称A Concrete Introduction to Higher Algebra影响因子(影响力)学科排名




书目名称A Concrete Introduction to Higher Algebra网络公开度




书目名称A Concrete Introduction to Higher Algebra网络公开度学科排名




书目名称A Concrete Introduction to Higher Algebra被引频次




书目名称A Concrete Introduction to Higher Algebra被引频次学科排名




书目名称A Concrete Introduction to Higher Algebra年度引用




书目名称A Concrete Introduction to Higher Algebra年度引用学科排名




书目名称A Concrete Introduction to Higher Algebra读者反馈




书目名称A Concrete Introduction to Higher Algebra读者反馈学科排名




单选投票, 共有 0 人参与投票
 

0票 0%

Perfect with Aesthetics

 

0票 0%

Better Implies Difficulty

 

0票 0%

Good and Satisfactory

 

0票 0%

Adverse Performance

 

0票 0%

Disdainful Garbage

您所在的用户组没有投票权限
发表于 2025-3-21 23:14:33 | 显示全部楼层
Textbook 19952nd edition from a set of notes written in the 1970sfor a sophomore-junior level course at the University at Albany entitled "Classical Algebra." The objective of the course, and the book, is to give students enough experience in the algebraic theory of the integers and polynomials to appre­ ciate the basic co
发表于 2025-3-22 03:20:44 | 显示全部楼层
0172-6056 ok emerged from a set of notes written in the 1970sfor a sophomore-junior level course at the University at Albany entitled "Classical Algebra." The objective of the course, and the book, is to give students enough experience in the algebraic theory of the integers and polynomials to appre­ ciate th
发表于 2025-3-22 08:02:01 | 显示全部楼层
Aesthetik auf realistischer Grundlagepts of congruences and congruence classes, and analogues of Fermat’s theorem and the Chinese remainder theorem. When the theory for polynomials is combined wih the theory for integers, what comes out in Chapters 28 and 30 is the theory of finite fields.
发表于 2025-3-22 12:47:19 | 显示全部楼层
发表于 2025-3-22 14:09:21 | 显示全部楼层
A Concrete Introduction to Higher Algebra978-1-4419-8702-0Series ISSN 0172-6056 Series E-ISSN 2197-5604
发表于 2025-3-22 18:02:27 | 显示全部楼层
Gaia or Knowledge without Spheresvailable in modern computational number theory. In this chapter we look at Euclid’s algorithm and its immediate consequences, analyze its speed, and, as an interesting aside, discuss a speculative connection between Euclid’s algorithm and classical Greek proofs that √n is irrational when . is not a square.
发表于 2025-3-23 00:58:29 | 显示全部楼层
发表于 2025-3-23 02:16:36 | 显示全部楼层
https://doi.org/10.1007/978-1-349-15461-6 that if . is any subgroup of ., then the number of elements of . is a divisor of the number of elements of .. This famous result is called Lagrange’s theorem. Euler’s and Fermat’s theorems are easy consequences of Lagrange’s theorem.
发表于 2025-3-23 05:35:56 | 显示全部楼层
Unity and Dynamism: The Interplay, see in the exercises. But suitably reinterpreted, it is a powerful tool for helping us understand how numbers relate in different moduli. As a first application, it yields a nice proof of a formula for Euler’s phi-function.
 关于派博传思  派博传思旗下网站  友情链接
派博传思介绍 公司地理位置 论文服务流程 影响因子官网 SITEMAP 大讲堂 北京大学 Oxford Uni. Harvard Uni.
发展历史沿革 期刊点评 投稿经验总结 SCIENCEGARD IMPACTFACTOR 派博系数 清华大学 Yale Uni. Stanford Uni.
|Archiver|手机版|小黑屋| 派博传思国际 ( 京公网安备110108008328) GMT+8, 2025-6-20 01:27
Copyright © 2001-2015 派博传思   京公网安备110108008328 版权所有 All rights reserved
快速回复 返回顶部 返回列表