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Projective Geometries Over Finite Fields (oxford Mathematical Monographs) by Hirschfield J. W. is a nonfiction available to read on EtoBox.

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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 isa 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 andtheir 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 Hermitianvarieties, as well as polari

Who reads Projective Geometries Over Finite Fields (oxford Mathematical Monographs)?

Author

Hirschfield J. W.

Publisher

Clarendon Press ; Oxford University Press

Published

1980

Language

EN

ISBN

9780198535263

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem