<図書>
Poincare's legacies : pages from year two of a mathematical blog
| 責任表示 | Terence Tao |
|---|---|
| データ種別 | 図書 |
| 出版情報 | Providence, R.I. : American Mathematical Society , c2009 |
| 本文言語 | 英語 |
| 大きさ | 2 v. ; 26 cm |
| 概要 | Much of the mathematical folklore passed down from advisor to student, or between collaborators, is not rigorous enough to be discussed in the formal literature. But now, such information can be commu...icated via the semiformal medium of research blogging. This book grew from a blog begun in 2007 by Tao (mathematics, University of California-Los Angeles), combining his own research and other recent developments in mathematics with lecture notes, non-technical puzzles, and expository articles. With material from the first year of the blog already published in book form, this book is the first volume of a two-volume set of blog posts from 2008, focusing on ergodic theory, topological dynamics, combinatorics, and number theory. It offers expository articles, self-contained lecture notes from Tao's courses, and discussion of topics including additive prime number theory, the law of large numbers, and the Lucas-Lehmer test for Mersenne primes. Some selected comments and feedback from blog readers have also been incorporated into the articles. The readership for the book includes graduate students and research mathematicians. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com) In 2007, Tao started his current web log, posting results of his research, other recent developments in mathematics, lecture notes, puzzles, articles, and, you know, blog stuff. Selections from the first year have already been published. By 2008, the selections had grown to two volumes, of which the first has already appeared. This second volume focuses on geometry, topology, and partial differential equations. Most of it is devoted to lecture notes from his course on French mathematician Jules Henri Poincare's (1854-1912) conjecture, recently solved by Perelman. Other topics include Hassell's proof of scarring for the Bunimovich stadium, concentration compactness and the profile decomposition, and an airport-inspired puzzle. Graduate students and researchers in mathematics should be able to follow the discussion. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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pt. 1 | 理系図3F 数理独自 | TAO,/10/4-1 | 2009 |
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023212009004592 |
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pt. 1 | 理系図3F 数理独自 | TAO,/10/4-1A | 2009 |
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033212015500213 |
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pt. 2 | 理系図3F 数理独自 | TAO,/10/4-2 | 2009 |
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023212009004603 |
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pt. 2 | 理系図3F 数理独自 | TAO,/10/4-2A | 2009 |
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033212015500225 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
|---|---|
| 著者標目 | *Tao, Terence, 1975- |
| 件 名 | LCSH:Poincaré conjecture LCSH:Ricci flow LCSH:Differential equations, Partial |
| 分 類 | LCC:QA613.2 DC22:514/.72 |
| 書誌ID | 1001398939 |
| ISBN | 9780821848838 |
| NCID | BA91422562 |
| 巻冊次 | pt. 1 ; ISBN:9780821848838 pt. 2 ; ISBN:9780821848852 |
| 登録日 | 2009.11.02 |
| 更新日 | 2015.10.27 |
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