Mendeley出力
＜図書＞
Projective geometries over finite fields
| 責任表示 | J.W.P. Hirschfeld |
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| シリーズ | Oxford mathematical monographs |
| データ種別 | 図書 |
| 版 | 2nd ed |
| 出版情報 | Oxford : Clarendon Press , 1998 |
| 本文言語 | 英語 |
| 大きさ | xiv, 555 p. : ill ; 24 cm |
| 概要 | This book is an account of the combinatorics of projective spaces over a finite field, with special emphasis on one and two dimensions. With its successor volumes, Finite projective spaces over three ...imensions (1985), which is devoted to three dimensions, and General Galois geometries (1991), on a general dimension, it provides the only comprehensive treatise on this area of mathematics. The area is interesting in itself, but is important for its applications to coding theory and statistics, and its use of group theory, algebraic geometry, and number theory. This new edition is a complete reworking, containing extensive revisions, particularly in the chapters on generalities, the geometry of arcs in ovals, the geometry of arcs of higher degree, and blocking sets. Part I gives a survey of finite fields and an outline of the fundamental properties of projective spaces and their automorphisms; it includes the properties of algebraic varieties and curves used throughout the book and in the companion volumes. Part II covers, in an arbitrary dimension, the properties of subspaces, of partitions into both subspaces and subgeometries, and of quadrics and Hermitian varieties, as well as polarities. Part III is a detailed account of the line and plane; with little reference to the generalities from Parts I and II, the author revisits fundamental properties of the plane and then describes the structure of arcs and their relation to curves. This part includes chapters on blocking sets and on small planes (those with orders up to thirteen). With a comprehensive bibliography containing over 3,000 items, this volume will prove invaluable to researchers in finite geometry, coding theory and combinatorics. 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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理系図3F 数理独自 | HIRS/20/1a | c1998 |
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023211998002377 |
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書誌詳細
| 一般注記 | Previous ed.: Oxford: Oxford University Press, 1979 Includes bibliographical references (p. [404]-546) and index |
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| 著者標目 | *Hirschfeld, J. W. P. (James William Peter), 1940- |
| 件 名 | LCSH:Geometry, Projective LCSH:Finite geometries |
| 分 類 | DC21:516.5 NDC8:414.4 |
| 書誌ID | 1001403175 |
| ISBN | 0198502958 |
| NCID | BA33943998 |
| 巻冊次 | ISBN:0198502958 ; PRICE:£70.00 : CIP entry (Jan.) |
| NBN | B97W2181 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |