Mendeley出力
＜図書＞
Classical invariant theory
| 責任表示 | Peter J. Olver |
|---|---|
| シリーズ | London Mathematical Society student texts ; 44 |
| データ種別 | 図書 |
| 出版情報 | Cambridge, UK : Cambridge University Press , 1999 |
| 本文言語 | 英語 |
| 大きさ | xxi, 280 p. : ill. ; 23 cm |
| 概要 | There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer alg...bra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision. This book provides readers with a self-contained introduction to the classical theory as well as modern developments and applications. The text concentrates on the study of binary forms (polynomials) in characteristic zero, and uses analytical as well as algebraic tools to study and classify invariants, symmetry, equivalence and canonical forms. A variety of innovations make this text of interest even to veterans of the subject; these include the use of differential operators and the transform approach to the symbolic method, extension of results to arbitrary functions, graphical methods for computing identities and Hilbert bases, complete systems of rationally and functionally independent covariants, introduction of Lie group and Lie algebra methods, as well as a new geometrical theory of moving frames and applications. Aimed at advanced undergraduate and graduate students the book includes many exercises and historical details, complete proofs of the fundamental theorems, and a lively and provocative exposition. There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision. This book provides readers with a self-contained introduction to the classical theory as well as modern developments and applications. The text concentrates on the study of binary forms (polynomials) in characteristic zero, and uses analytical as well as algebraic tools to study and classify invariants, symmetry, equivalence and canonical forms. A variety of innovations make this text of interest even to veterans of the subject; these include the use of differential operators and the transform approach to the symbolic method, extension of results to arbitrary functions, graphical methods for computing identities and Hilbert bases, complete systems of rationally and functionally independent covariants, introduction of Lie group and Lie algebra methods, as well as a new geometrical theory of moving frames and applications. Aimed at advanced undergraduate and graduate students the book includes many exercises and historical details, complete proofs of the fundamental theorems, and a lively and provocative exposition. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7015628 |
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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: hbk | 理系図3F 数理独自 | OLVE/20/3 | 1999 |
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023211999003698 |
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書誌詳細
| 一般注記 | Bibliography: p. [247]-259 Includes indexes |
|---|---|
| 著者標目 | *Olver, Peter J |
| 件 名 | LCSH:Invariants |
| 分 類 | LCC:QA201 DC21:512.5 |
| 書誌ID | 1001400585 |
| ISBN | 0521552435 |
| NCID | BA41378549 |
| 巻冊次 | : hbk ; ISBN:0521552435 : pbk ; ISBN:0521558212 |
| 登録日 | 2009.11.02 |
| 更新日 | 2017.02.18 |