Finite Geometries

1997 Mathematics

Author : Peter Dembowski
Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 860/5 ( reviews)

GET EBOOK

Book Synopsis Finite Geometries by : Peter Dembowski

Download or read book Finite Geometries written by Peter Dembowski. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: Peter Dembowski was born in Berlin on April 1, 1928. After studying mathematics at the University of Frankfurt of Main, he pursued his graduate studies at Brown Unviersity and the University of Illinois, mainly with R. Baer. Dembowski returned to Frankfurt in 1956. Shortly before his premature death in January 1971, he had been appointed to a chair at the University of Tuebingen. Dembowski taught at the universities of Frankfurt and Tuebingen and - as visiting Professor - in London (Queen Mary College), Rome, and Madison, WI. Dembowski's chief research interest lay in the connections between finite geometries and group theory. His book "Finite Geometries" brought together essentially all that was known at that time about finite geometrical structures, including key results of the author, in a unified and structured perspective. This book became a standard reference as soon as it appeared in 1968. It influenced the expansion of combinatorial geometric research, and left its trace also in neighbouring areas.

Combinatorics and Finite Geometry

2020-10-30 Mathematics

Author : Steven T. Dougherty
Release : 2020-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 952/5 ( reviews)

GET EBOOK

Book Synopsis Combinatorics and Finite Geometry by : Steven T. Dougherty

Download or read book Combinatorics and Finite Geometry written by Steven T. Dougherty. This book was released on 2020-10-30. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.

Finite Geometries

2013-12-01 Computers

Author : Aart Blokhuis
Release : 2013-12-01
Genre : Computers
Kind : eBook
Book Rating : 838/5 ( reviews)

GET EBOOK

Book Synopsis Finite Geometries by : Aart Blokhuis

Download or read book Finite Geometries written by Aart Blokhuis. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following inter-linked areas: • combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest; • geometric and algebraic coding theory; • finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries; • algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory.

Projective Geometries Over Finite Fields

1998 Law

Author : James William Peter Hirschfeld
Release : 1998
Genre : Law
Kind : eBook
Book Rating : 951/5 ( reviews)

GET EBOOK

Book Synopsis Projective Geometries Over Finite Fields by : James William Peter Hirschfeld

Download or read book Projective Geometries Over Finite Fields written by James William Peter Hirschfeld. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: I. Introduction 1. Finite fields 2. Projective spaces and algebraic varieties II. Elementary general properties 3. Subspaces 4. Partitions 5. Canonical forms for varieties and polarities III. The line and the plane 6. The line 7. First properties of the plane 8. Ovals 9. Arithmetic of arcs of degree two 10. Arcs in ovals 11. Cubic curves 12. Arcs of higher degree 13. Blocking sets 14. Small planes Appendix Notation References.

Finite Geometries

1983-01-18 Mathematics

Author : Johnson
Release : 1983-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 521/5 ( reviews)

GET EBOOK

Book Synopsis Finite Geometries by : Johnson

Download or read book Finite Geometries written by Johnson. This book was released on 1983-01-18. Available in PDF, EPUB and Kindle. Book excerpt:

Popular eBooks

Finite Geometries

Combinatorics and Finite Geometry

Finite Geometries

Projective Geometries Over Finite Fields

Finite Geometries

You may also like...