Combinatorics of Finite Geometries - Softcover

Batten, L. M.

Softcover

ISBN 10: 0521318572 ISBN 13: 9780521318570

Publisher: Cambridge University Press, 1986

Synopsis

This textbook is intended as an introduction to the combinatorial theory of finite geometry for undergraduate students of mathematics. Although only a basic knowledge of set theory and analysis is assumed, the student is soon led Op results at the frontiers of research. Professor Batten begins with a discussion of near-linear spaces before proceeding to treat linear, projective and affine spaces. This half of the book in itself would be suitable for use as a text for a course in synthethic geometry. The remainder of the book is devoted to the relatively new areas of polar spaces, generalized quadrangles and partial geometries. These subjects are currently the focus of much research in combinatorial geometry.

About this title

Book Description

This book is an introductory text on the combinatorial theory of finite geometry. It assumes only a basic knowledge of set theory and analysis, but soon leads the student to results at the frontiers of research. The revised edition contains an entirely new chapter on blocking sets in linear spaces, which highlights some of the most important applications of blocking sets--from the initial game-theoretic setting to their very recent use in cryptography. Extensive exercises at the end of each chapter insure the usefulness of this book for senior undergraduate and beginning graduate students.

Review

"The whole book is warmly recommended to undergraduate students." Tamás Szõnyi, Mathematical Reviews

Edition details

• Publisher: Cambridge University Press
• Publication date: 1986
• Language: English
• ISBN 10: 0521318572
• ISBN 13: 9780521318570
• Binding: Paperback
• Number of pages: 183