Projective Geometries Over Finite Fields
Language: English
Published by Clarendon Press, 1980
- Hardcover
- Used
Seller: Optimon Books, Gravesend, Kent, United KingdomOptimon Books
AbeBooks seller since December 22, 2022
Condition: Used - Fair
£ 90.99
Quantity: 1 available
Add to basketItem description from seller
Well maintained. All pages are present but have marks, creasing and other signs of wear. There is some slight wear and tear on the dust jacket. There is some writing on the inside first page from previous owners. 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 dimensions (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. Copyright © Clarendon Press.…
Seller Inventory # 483899
- Title
- Projective Geometries Over Finite Fields
- Author
- J. W. P. Hirschfeld
- Publisher
- Clarendon Press
- Publication year
- 1980
- Condition
- Fair
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0198535260
- ISBN 13
- 9780198535263
"Synopsis" may belong to another edition of this title.
Review
...A complete reworking [of the first edition]. As before, the volume is concisely but clearly written, and contains a wealth of interesting material...the new trilogy, comprising the 1998, 1986 and 1991 volumes, looks set to be the standard reference work on projective spaces over finite fields for many years to come. (Bulletin of the London Mathematical Society)
'Snap it up !' Bulletin London mathematical Society
"About the title" may belong to another edition of this title.
Optimon Books
Gravesend, Kent, United Kingdom
AbeBooks seller since December 22, 2022
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