
Cohomology of Groups (English, Kenneth S. Brown)
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Specifications
| Publisher | Springer |
| Language | English |
| ISBN-13 | 9780387906881 |
| ISBN-10 | 0387906886 |
| Author | Kenneth S. Brown |
Product Description
About the Book
As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology. The basics of the subject are given (along with exercises) before the author discusses more specialized topics.
ISBN: 9780387906881
Book Insights
What You'll Learn
- ·In-depth exploration of topics covered in Cohomology of Groups
- ·Key concepts explained with clarity and practical examples
- ·Insights valuable for anyone studying or working in Springer
Who Should Read This
Advanced students, researchers, and domain experts seeking in-depth knowledge.
Key Highlights
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Customer Reviews
Tutto ok
Arrivato in un giorno, niente costi aggiuntivi, tutto ok.
A very nice introduction
The subject is rather abstract, but the author does an excellent job of motivating it. I would recommend you read it together with Weibel's excellent (but somewhat less motivated)An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics)
書棚に映える
黄色と白と「GTM」の背表紙が何冊か自分の書棚にある、というだけで、ちょっとぜいたくな嬉しい気分・幸福感を味わうことができます・・・「なか見❕検索⤵」では見られないのですが、目次の前にPrefaceがあって「この本はコーネル大学の大学院の2年生を対象にした講義がもとになっていて、その講義の目的は代数学(群、環、加群、非可換環上のテンソル積)と位相幾何学(基本群、被覆空間、単体複体、CW複体、ホモロジー)を学んだ学生に、代数学と位相幾何学の間の豊かな相互作用を紹介すること」と書いてあります。ということは、群のコホモロジーは、代数的にトポロジーを研究することと、トポロジーを使って群の構造を研究することの両方に役立つということなのでしょう。本文はかなり抽象的ですが、各節末の多量の練習問題はかなり難しいですがとても具体的で、何人かで協力して集中して問題を解きながら読み進めて行けばちゃんと理解できるだろうと思います。私の場合は、ぱらぱらとページをめくり、たまに解けそうな問題を見つけてじっくり考えてみる、という感じで行ったり来たりしながら読んでいます。数学を愛する意欲的な少年少女におすすめします(











