Combinatorics Of Finite Geometries

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Combinatorics Of Finite Geometries

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Author : Lynn Margaret Batten
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-28

Combinatorics Of Finite Geometries written by Lynn Margaret Batten and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-28 with Mathematics categories.

Combinatorics of Finite Geometries is an introductory text on the combinatorial theory of finite geometry. Assuming only a basic knowledge of set theory and analysis, it provides a thorough review of the topic and leads the student to results at the frontiers of research. This book begins with an elementary combinatorial approach to finite geometries based on finite sets of points and lines, and moves into the classical work on affine and projective planes. Later, it addresses polar spaces, partial geometries, and generalized quadrangles. The revised edition contains an entirely new chapter on blocking sets in linear spaces, which highlights some of the most important applications of blocking sets--from the initial game-theoretic setting to their very recent use in cryptography. Extensive exercises at the end of each chapter insure the usefulness of this book for senior undergraduate and beginning graduate students.

Combinatorics And Finite Geometry

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Author : Steven T. Dougherty
language : en
Publisher: Springer Nature
Release Date : 2020-10-30

Combinatorics And Finite Geometry written by Steven T. Dougherty and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-30 with Mathematics categories.

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 Geometry And Combinatorics

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Author : Albrecht Beutelspacher
language : en
Publisher: Cambridge University Press
Release Date : 1993

Finite Geometry And Combinatorics written by Albrecht Beutelspacher and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

Included here are articles from many of the leading practitioners in the field, including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results, and the growing use of computer algebra packages in this area is also demonstrated.

Combinatorics Of Finite Geometries

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Author : L. M. Batten
language : en
Publisher: Cambridge University Press
Release Date : 1986-03-31

Combinatorics Of Finite Geometries written by L. M. Batten and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-03-31 with Mathematics categories.

This textbook is intended as an introduction to the combinatorial theory of finite geometry for undergraduate students of mathematics. Although only a basic knowledge of set theory and analysis is assumed, the student is soon led Op results at the frontiers of research. Professor Batten begins with a discussion of near-linear spaces before proceeding to treat linear, projective and affine spaces. This half of the book in itself would be suitable for use as a text for a course in synthethic geometry. The remainder of the book is devoted to the relatively new areas of polar spaces, generalized quadrangles and partial geometries. These subjects are currently the focus of much research in combinatorial geometry.

Groups Combinatorics And Geometry

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Author : Martin W. Liebeck
language : en
Publisher: Cambridge University Press
Release Date : 1992-09-10

Groups Combinatorics And Geometry written by Martin W. Liebeck and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-10 with Mathematics categories.

This volume contains a collection of papers on the subject of the classification of finite simple groups.

Combinatorics Of Finite Geometries

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Author :
language : en
Publisher:
Release Date : 1992

Combinatorics Of Finite Geometries written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

Projective Geometries Over Finite Fields

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Author : James William Peter Hirschfeld
language : en
Publisher: Oxford University Press on Demand
Release Date : 1998

Projective Geometries Over Finite Fields written by James William Peter Hirschfeld and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Law categories.

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.

Combinatorics Of Minuscule Representations

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Author : R. M. Green
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-21

Combinatorics Of Minuscule Representations written by R. M. Green and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Mathematics categories.

Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.