000 01972nam 2200301| 4500
001 84557
005 20211214115351.0
010 _a978-3-319-43811-5
_dcompra
090 _a84557
100 _a20190128d2016 k||y0pory50 ba
101 0 _aeng
102 _aUS
200 1 _aAn introduction toiIncidence geometry
_bDocumento electrónico
_fBart de Bruyn
210 _aCham
_cSpringer International Publishing
_d2016
215 _aXII, 372 p.
225 2 _aFrontiers in mathematics
300 _aColocação: Online
303 _aThis 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.
410 1 _x1660-8046
606 _aGeometria
680 _aQA443
700 _aDe Bruyn
_bBart
801 0 _gRPC
_aPT
856 _uhttps://doi.org/10.1007/978-3-319-43811-5
942 _2lcc
_cF
_n0