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Catalogue Information
Field name	Details
Dewey Class	516
Title	An Introduction to Incidence Geometry ([EBook]) / by Bart De Bruyn.
Author	De Bruyn, Bart
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2016.
Physical Details	XII, 372 p. : online resource.
Series	Frontiers in Mathematics 1660-8046
ISBN	9783319438115
Summary Note	This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among others the generalized polygons, near polygons, polar spaces, dual polar spaces and designs. Also the various relationships between these geometries are investigated. Ovals and ovoids of projective spaces are studied and some applications to particular geometries will be given. A separate chapter introduces the necessary mathematical tools and techniques from graph theory. This chapter itself can be regarded as a self-contained introduction to strongly regular and distance-regular graphs. This book is essentially self-contained, only assuming the knowledge of basic notions from (linear) algebra and projective and affine geometry. Almost all theorems are accompanied with proofs and a list of exercises with full solutions is given at the end of the book. This book is aimed at graduate students and researchers in the fields of combinatorics and incidence geometry.:
Contents note	1.Introductory notions -- 2.Some classes of point-line geometries -- 3.Strongly regular and distance-regular graphs -- 4.Projective spaces -- 5.Generalized polygons -- 6.Near polygons -- 7.Polar spaces -- 8.Dual polar spaces -- 9.Designs.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-43811-5
Links to Related Works	Subject References: Geometry . Mathematics . Authors: De Bruyn, Bart . Corporate Authors: SpringerLink (Online service) . Series: Frontiers in Mathematics . Classification: 516 .

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An Introduction to Incidence Geometry

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