Mendeley出力
＜図書＞
Gauge fields, knots and gravity
| 責任表示 | John Baez, Javier P. Muniain |
|---|---|
| シリーズ | Series on knots and everything ; vol. 4 |
| データ種別 | 図書 |
| 出版情報 | Singapore ; New Jersey : World Scientific , c1994 |
| 本文言語 | 英語 |
| 大きさ | xii, 465 p. ; ill : 23 cm |
| 概要 | This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential ...orms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory. This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory. 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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: pbk | 理系図1F 開架 | 421.3/B 14 | 2013 |
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031212015000831 |
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理系図3F 数理独自 | BAEZ/10/1 | 1994 |
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068222194007257 |
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: pbk | 理系図1F 開架 | 421.3/B 14 | 2013 |
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031212015000843 |
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書誌詳細
| 一般注記 | Includes index |
|---|---|
| 著者標目 | *Baez, John C., 1961- Muniain, Javier P. |
| 件 名 | LCSH:Gauge fields (Physics) LCSH:Quantum gravity LCSH:Knot theory LCSH:General relativity (Physics) LCSH:Electromagnetism |
| 分 類 | LCC:QC793.3.F5 DC20:530.1/4 |
| 書誌ID | 1000035766 |
| ISBN | 9810217293 |
| NCID | BA23771444 |
| 巻冊次 | ISBN:9810217293 : pbk ; ISBN:9789810220341 ; XISBN:9810220340 |
| 登録日 | 2009.09.10 |
| 更新日 | 2015.11.10 |