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Introduction to Finite Geometries

2014-05-12 Mathematics
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Release : 2014-05-12
Genre : Mathematics
Kind : eBook
Book Rating : 14X/5 ( reviews)

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Book Synopsis Introduction to Finite Geometries by : F. Kárteszi

Download or read book Introduction to Finite Geometries written by F. Kárteszi. This book was released on 2014-05-12. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Texts in Advanced Mathematics: Introduction to Finite Geometries focuses on the advancements in finite geometries, including mapping and combinatorics. The manuscript first offers information on the basic concepts on finite geometries and Galois geometries. Discussions focus on linear mapping of a given quadrangle onto another given quadrangle; point configurations of order 2 on a Galois plane of even order; canonical equation of curves of the second order on the Galois planes of even order; and set of collineations mapping a Galois plane onto itself. The text then ponders on geometrical configurations and nets, as well as pentagon theorem and the Desarguesian configuration, two pentagons inscribed into each other, and the concept of geometrical nets. The publication takes a look at combinatorial applications of finite geometries and combinatorics and finite geometries. Topics include generalizations of the Petersen graph, combinatorial extremal problem, and theorem of closure of the hyperbolic space. The book is a valuable source of data for readers interested in finite geometries.

Introduction to Finite Geometries

1976 Combinatorial geometry
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Release : 1976
Genre : Combinatorial geometry
Kind : eBook
Book Rating : 322/5 ( reviews)

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Book Synopsis Introduction to Finite Geometries by : Ferenc Kárteszi

Download or read book Introduction to Finite Geometries written by Ferenc Kárteszi. This book was released on 1976. Available in PDF, EPUB and Kindle. Book excerpt: This book contains material elaborated during courses held at the Eötvös Loránd University of Budapest since 1948, under the title 'projective geometry' wherein the notation of finite projective planes in connection with the classical projective geometry was mentioned. The share of finite geometries increased over time. The book is somewhat experimental--as the lectures were--thus the presentation of these lectures in the form of an introductory textbook of a didactical character. -- Author's preface.

Combinatorics and Finite Geometry

2020-10-30 Mathematics
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Release : 2020-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 952/5 ( reviews)

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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.

An Introduction to Finite Projective Planes

2015-02-18 Mathematics
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Release : 2015-02-18
Genre : Mathematics
Kind : eBook
Book Rating : 942/5 ( reviews)

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Book Synopsis An Introduction to Finite Projective Planes by : Abraham Adrian Albert

Download or read book An Introduction to Finite Projective Planes written by Abraham Adrian Albert. This book was released on 2015-02-18. Available in PDF, EPUB and Kindle. Book excerpt: Text for both beginning and advanced undergraduate and graduate students covers finite planes, field planes, coordinates in an arbitrary plane, central collineations and the little Desargues' property, the fundamental theorem, and non-Desarguesian planes. 1968 edition.

Finite Fields

1997 Mathematics
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Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 310/5 ( reviews)

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Book Synopsis Finite Fields by : Rudolf Lidl

Download or read book Finite Fields written by Rudolf Lidl. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted entirely to the theory of finite fields.

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