内容简介

The purpose of this book is twofold. First, it is written to be a textbook for a graduate level course on Galois theory or field theory. Second, it is designed to be a reference for researchers who need to know field theory. The book is written at the level of students who have familiarity with the basic concepts of group, ring, vector space theory, including the Sylow theorems, factorization in polynomial rings, and theorems about bases of vector spaces. This book has a large number of examples and exercises, a large number of topics covered, and complete proofs given for the stated results. To help readers grasp field.

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豆瓣评论

  • Reservoir Dogs
    第二遍学伽罗瓦理论,这次学是自己依照第一遍学的记忆建立起来的,用这本书作导向。11-20
  • 大毛光光头
    初等书,配合着抽象代数一起看07-04
  • 啊零
    在抽象代数里的伽罗瓦群,在代数拓扑里又重新遇见了它的对应----基本群。常常会在数学里感受到什么叫“偶然的也是必然的“。这本书伽罗瓦理论的大部分内容都有讲到,习题也很好,例子也很多有助于了解概念。本来想多了解一下 infinite algebraic extensions,但其实这本书这方面讲得不多。transcendental extensions 倒是写得清晰易懂,帮我理清了在代数几何里遇到的一些抽象概念的作用。05-04
  • 数学渣
    无限代数扩张和超越扩张两章以后再看吧08-22
  • imath1314
    不错的一本书,值得一看!就在一二年级的时候读,等你大三大四学代数数论,代数几何的时候就没时间了06-29

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