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25 Remote Warehouse Mathematics- Geometry and Trigonometry

Finite Geometries Reprint of 68 Edition

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Finite Geometries Reprint of 68 Edition Cover

 

Synopses & Reviews

Publisher Comments:

Reihentext + Finite Geometries From the reviews: "Such a vast amount of information as this book contains can only be accomplished in 375 pages by a very economical style of writing... it enables one to have a good look at the forest without being too detracted by the individual trees... The author deserves unstinting praise for the skill, energy, and perseverance which he devoted to this work. The finished product confirms what his many earlier contributions to the subject of finite geometry have already indicated, namely, that he is an undisputed leader in his field." Mathematical Reviews "Finite Geometries" is a very important area of finite mathematics characterized by an interplay of combinatorial, geometric, and algebraic ideas, in which research has been very active and intensive in recent years... makes it clear how large is the field covered by the author in his book. The material is selected most thoroughly, and the author made an effort to collect all that seems to be relevant in finite geometries for the time being... Dembowski's work will be a basic reference book of this field, and it will be considered as a base of the future research... Altogether this is a very well-produced monograph." Publicationes Mathematicae Debrecen 10, tom 16.

Synopsis:

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.

About the Author

Biography of Peter Dembowski Peter Dembowski was born in Berlin on April 1, 1928. After studying mathematics at the University of Frankfurt am Main, he pursued his graduate studies at Brown University and at the University of Illinois, mainly with Reinhold 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 Tübingen. Dembowski taught at the universities of Frankfurt and Tübingen and - as visiting professor - in London (Queen Mary College), Rome, Madison, WI, and Chicago, IL. 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 also left its trace in neigh-bouring areas.

Table of Contents

Basic concepts: Finite incidence structures; Incidence preserving maps; Incidence matrices; Geometry of finite vector spaces. Designs: Combinatorial properties; Embeddings and extensions; Automorphisms of designs; Construction of designs. Projective and affine planes: General results; Combinatorics of finite planes; Correlations and polarities; Projectivities. Collineations of finite planes: Fixed elements and orders; Collineation groups; Central collineations; Groups with few orbits. Construction of finite planes: Algebraic representations; Planes of Type IV, V ad Types I and II. Inversive planes: General definitions and results; Combinatorics of finite inversive planes; Automorphisms; The known finite models. Appendices: Associations schemes and partial designs; Hjelmslev planes; Generalized polygons; Finite semi-planes. Bibliography. Dictionary. Special notations. Index

Product Details

ISBN:
9783540617860
Author:
Dembowski, P.
Author:
Dembowski, Peter
Author:
Dembowski, P.
Publisher:
Springer
Location:
Berlin ;
Subject:
Geometry - General
Subject:
Geometry
Subject:
Finite geometries.
Subject:
finite Geometry
Subject:
Finite Mathematics
Subject:
finite projective plans
Subject:
Group Theory and Generalizations
Subject:
Mathematics-Geometry and Trigonometry
Edition Description:
Reprint of the 1st ed. Berlin Heidelberg New York 1968
Series:
Classics in Mathematics
Publication Date:
19961231
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
390
Dimensions:
235 x 155 mm 595 gr

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Finite Geometries Reprint of 68 Edition New Trade Paper
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Product details 390 pages Springer-Verlag - English 9783540617860 Reviews:
"Synopsis" by , 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.
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