丸善のおすすめ度
Amenability of Discrete Groups by Examples(Mathematical Surveys and Monographs Vol. 266) paper 165 p. 22
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在庫状況
自社在庫有り
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お届け予定日
3~4日
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価格
\31,867(税込)
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発行年月 |
2022年08月 |
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出版社/提供元 |
American Mathematical Society |
出版国 |
アメリカ合衆国 |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
paper |
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ページ数/巻数 |
165 p. |
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ジャンル |
洋書/理工学/数学/代数学 |
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ISBN |
9781470470326 |
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商品コード |
1034689532 |
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本の性格 |
テキスト/学術書 |
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新刊案内掲載月 |
2022年09月 |
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商品URL | https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1034689532 |
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内容
The main topic of the book is amenable groups, i.e., groups on which there exist invariant finitely additive measures. It was discovered that the existence or non-existence of amenability is responsible for many interesting phenomena such as, e.g., the Banach-Tarski Paradox about breaking a sphere into two spheres of the same radius. Since then, amenability has been actively studied and a number of different approaches resulted in many examples of amenable and non-amenable groups. In the book, the author puts together main approaches to study amenability. A novel feature of the book is that the exposition of the material starts with examples which introduce a method rather than illustrating it. This allows the reader to quickly move on to meaningful material without learning and remembering a lot of additional definitions and preparatory results; those are presented after analyzing the main examples. The techniques that are used for proving amenability in this book are mainly a combination of analytic and probabilistic tools with geometric group theory.