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[文献讨论] A History of Abstract Algebra From Algebraic Equations to Modern Algebra [推广有奖]

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This textbook provides an accessible account of the history of abstract algebra, tracing a range of topics in modern algebra and number theory back to their modest presence in the seventeenth and eighteenth centuries, and exploring the impact of ideas on the development of the subject.
Beginning with Gauss’s theory of numbers and Galois’s ideas, the book progresses to Dedekind and Kronecker, Jordan and Klein, Steinitz, Hilbert, and Emmy Noether. Approaching mathematical topics from a historical perspective, the author explores quadratic forms, quadratic reciprocity, Fermat’s Last Theorem, cyclotomy, quintic equations, Galois theory, commutative rings, abstract fields, ideal theory, invariant theory, and group theory. Readers will learn what Galois accomplished, how difficult the proofs of his theorems were, and how important Camille Jordan and Felix Klein were in the eventual acceptance of Galois’s approach to the solution of equations. The book also describes the relationship between Kummer’s ideal numbers and Dedekind’s ideals, and discusses why Dedekind felt his solution to the divisor problem was better than Kummer’s.
Designed for a course in the history of modern algebra, this book is aimed at undergraduate students with an introductory background in algebra but will also appeal to researchers with a general interest in the topic. With exercises at the end of each chapter and appendices providing material difficult to find elsewhere, this book is self-contained and therefore suitable for self-study.
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关键词:Equations algebraic abstract equation algebra

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A History of Abstract Algebra From Algebraic Equations to Modern Algebra

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edmcheng 发表于 2018-8-8 07:10:10 |只看作者 |坛友微信交流群
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timmyou2004 发表于 2018-8-8 07:15:05 来自手机 |只看作者 |坛友微信交流群
nivastuli 发表于 2018-8-8 06:35
This textbook provides an accessible account of the history of abstract algebra, tracing a range of  ...
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caifacai 发表于 2018-8-9 06:08:18 |只看作者 |坛友微信交流群
感谢分享好资源!

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eeabcde 发表于 2018-8-10 14:32:37 |只看作者 |坛友微信交流群
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yangwag 发表于 2018-8-11 19:31:28 |只看作者 |坛友微信交流群
很好,可以好好看看。

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jgchen1966 发表于 2019-10-18 19:23:48 |只看作者 |坛友微信交流群
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wangyong8935 在职认证  发表于 2019-11-16 05:37:06 |只看作者 |坛友微信交流群
thank you for sharing

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