1: Finite fields
2: Projective spaces and algebraic varieties
3: Subspaces
4: Partitions
5: Canonical forms for varieties and polarities
6: The line
7: First properties of the plane
8: Ovals
9: Arithmetic of arcs of degree two
10: Arcs in ovals
11: Cubic curves
12: Arcs of higher degree
13: Blocking sets
14: Small planes
Appendix
Notation
References
Dr J. W. P. Hirschfeld, School of Mathematical Sciences, University of Sussex, Brighton, BN1 9QH. Tel.: +44 1273 678080; fax: +44 1273 678097
`The first edition of this work appeared in 1979, and was
immediately recognized as an outstanding contribution to the field
of finite geometry; the present volume is a complete revision of
the earlier work...The book can serve as the text for a basic
course...or as a detailed reference work for all topics in spaces
of dimension two...The work is an indispensable aid to all workers
in finite geometry, from beginning students to advanced
researchers.'
Short Book Reviews
`...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
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