代数学I 2024 pdf epub mobi 电子书

☆☆☆☆☆
简体网页||繁体网页

代数学I 2024 pdf epub mobi 电子书著者简介

Bartel Leendert van der Waerden (February 2, 1903, Amsterdam, Netherlands – January 12, 1996, Zürich, Switzerland) was a Dutch mathematician.

Van der Waerden learned advanced mathematics at the University of Amsterdam and the University of Göttingen, from 1919 until 1926. He was much influenced by Emmy Noether at Göttingen. Amsterdam awarded him a Ph.D. for a thesis on algebraic geometry, supervised by Hendrick de Vries. Göttingen awarded him the habilitation in 1928.

In his 27th year, Van der Waerden published his Algebra, an influential two-volume treatise on abstract algebra, still cited, and perhaps the first treatise to treat the subject as a comprehensive whole. This work systematized an ample body of research by Emmy Noether, David Hilbert, Richard Dedekind, and Emil Artin. In the following year, 1931, he was appointed professor at the University of Leipzig.

The Third Reich made life difficult for Van der Waerden as a foreigner teaching in Germany, but he refused to give up his Dutch nationality. He filled the chair in mathematics at the University of Amsterdam, 1948–1951, then moved to the University of Zurich, where he spent the rest of his career, supervising more than 40 Ph.D. students.

Van der Waerden is mainly remembered for his work on abstract algebra. He also wrote on algebraic geometry, topology, number theory, geometry, combinatorics, analysis, probability and statistics, and quantum mechanics (he and Heisenberg had been colleagues at Leipzig). In his later years, he turned to the history of mathematics and science. His historical writings include Ontwakende wetenschap (1950), which was translated into English as Science Awakening (1954), Geometry and Algebra in Ancient Civilizations (1983), and A History of Algebra (1985).

代数学I 电子书图书目录

下载链接在页面底部

点击这里下载

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 复制链接

想要找书就要到本本书屋

onlinetoolsland.com

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

发表于2024-11-21

代数学I 2024 pdf epub mobi 电子书

喜欢代数学I 电子书的读者还喜欢

代数学I 电子书读后感

评分☆☆☆☆☆

并没有认真看过这两本书，只是翻阅过，这里也只是就抽象代数的教材简单说两句。一直在物色我上研一抽象代数的教材，因为课时的限制（60课时）和学生基础的限制（非211学校的研究生，本科很可能没学过抽代），教材并不好找。窃以为功力深厚者根本不用受制于某本教材，只有初出...

评分☆☆☆☆☆

van der Waerden在写第一版时是在ZFC下，因为用到了选择公理，这受到很多逻辑学者和构造主义者、直觉主义者的不满，于是在第二版时van der Waerden去掉了选择公理，在ZF下改写该书，使得该书的大部分内容被删去了，这一做法又受到了很多代数学家的不满。第三版时van der Waerde...

评分☆☆☆☆☆

类似图书点击查看全场最低价

出版者:科學出版社

作者:B. L. van der Waerden

出品人:

页数:272

译者:

出版时间:2009 年6月

价格:48.00元

装帧:16開

isbn号码:9787030245625

丛书系列:数学名著译丛

图书标签: 数学代数代数学范德瓦尔登抽象代数近世代数科学进阶

代数学I 2024 pdf epub mobi 电子书图书描述

范德瓦尔登的《代数学》是现代数学的一部奠基之作，这部书不仅对提高数学家的学识修养有很大意义，对现代数学如扑拓学、泛函分析等以及一些其他科学领域也有重要影响。全书共分两卷，本书是第一卷，分成11章：前5章以最小的篇幅包括了为所有其余各章作准备的知识，即有关集合、群、环、域、向量空间和多项式的最基本的概念；其余各章主要讲述交换域的理论，包括Galois理论和实域。

引言

第1章数与集合

1.1 集合

1.2 映射，势

1.3 自然数序列

1.4 有限与可数集合

1.5 分类

第2章群

2.1 群的概念

2.2 子群

2.3 群子集的运算，陪集

2.4 同构与自同构