大葉大學圖書館 |

An introduction to incidence geometry[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	516.22
書名/作者:	An introduction to incidence geometry/ by Bart De Bruyn.
作者:	De Bruyn, Bart.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xii, 372 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Geometry, Plane.
標題:	Mathematics.
標題:	Geometry.
ISBN:	9783319438115
ISBN:	9783319438108
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-43811-5

An introduction to incidence geometry[electronic resource] /
De Bruyn, Bart.

An introduction to incidence geometry[electronic resource] /by Bart De Bruyn. - Cham :Springer International Publishing :2016. - xii, 372 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8046. - Frontiers in mathematics..

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.

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.

ISBN: 9783319438115

Standard No.: 10.1007/978-3-319-43811-5doiSubjects--Topical Terms:

556550
Geometry, Plane.

LC Class. No.: QA455

Dewey Class. No.: 516.22

An introduction to incidence geometry[electronic resource] /
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520 $a 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.
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