Galois Theory 在线电子书 图书标签: Galois理论 数学 Mathematics 代数 Galois_Theory 伽罗瓦 Algebra
发表于2024-11-22
Galois Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
很多证明写在习题里面,结合Rotman的Advanced Modern Algebra才能看得比较清楚,不适合新手,适合有基础的学生快速入门Galois
评分很多证明写在习题里面,结合Rotman的Advanced Modern Algebra才能看得比较清楚,不适合新手,适合有基础的学生快速入门Galois
评分很多证明写在习题里面,结合Rotman的Advanced Modern Algebra才能看得比较清楚,不适合新手,适合有基础的学生快速入门Galois
评分很多证明写在习题里面,结合Rotman的Advanced Modern Algebra才能看得比较清楚,不适合新手,适合有基础的学生快速入门Galois
评分算是Galois理论的入门读物,但是讲得太简略.域的各种扩张都是一带而过,而且主要定理的证明都用到了习题中的内容.如果只是想大致了解一下Galois理论,看看倒也无妨;但是如果要想熟练掌握,这本书显然不够,还得是标准的研究生教材才行,比如GTM073或者与之篇幅和名气相等的代数书.
A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galoiss Great Theorem; and computation of Galois groups of cubics and quartics. Suitable for first-year graduate students, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions. The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included.
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Galois Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024