An Introduction to Incidence Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Incidence Geometry write by Bart De Bruyn. This book was released on 2016-11-09. An Introduction to Incidence Geometry available in PDF, EPUB and Kindle. 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.
Handbook of Incidence Geometry
Handbook of Incidence Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Incidence Geometry write by Francis Buekenhout. This book was released on 1995. Handbook of Incidence Geometry available in PDF, EPUB and Kindle. Hardbound. This Handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and partial geometries are surveyed extensively.More than half of the book is devoted to buildings at various levels of generality, including a detailed and original introduction to the subject, a broad study of characterizations in terms of points and lines, applications to algebraic groups, extensions to topological geometry, a survey of results on diagram geometries and nearby generalizations such as matroids.
Foundations of Incidence Geometry
Foundations of Incidence Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foundations of Incidence Geometry write by Johannes Ueberberg. This book was released on 2011-08-26. Foundations of Incidence Geometry available in PDF, EPUB and Kindle. Incidence geometry is a central part of modern mathematics that has an impressive tradition. The main topics of incidence geometry are projective and affine geometry and, in more recent times, the theory of buildings and polar spaces. Embedded into the modern view of diagram geometry, projective and affine geometry including the fundamental theorems, polar geometry including the Theorem of Buekenhout-Shult and the classification of quadratic sets are presented in this volume. Incidence geometry is developed along the lines of the fascinating work of Jacques Tits and Francis Buekenhout. The book is a clear and comprehensible introduction into a wonderful piece of mathematics. More than 200 figures make even complicated proofs accessible to the reader.
Projective Geometry
Projective Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Projective Geometry write by Rey Casse. This book was released on 2006-08-03. Projective Geometry available in PDF, EPUB and Kindle. This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinatising a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates.
Polynomial Methods and Incidence Theory
Polynomial Methods and Incidence Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Polynomial Methods and Incidence Theory write by Adam Sheffer. This book was released on 2022-03-24. Polynomial Methods and Incidence Theory available in PDF, EPUB and Kindle. A thorough yet accessible introduction to the mathematical breakthroughs achieved by using new polynomial methods in the past decade.
