Author: Steven T. Dougherty
Publisher: Springer Nature
ISBN: 3030563952
Category : Mathematics
Languages : en
Pages : 374
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Book Description
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.
Author: Peter Dembowski
Publisher: Springer Science & Business Media
ISBN: 9783540617860
Category : Mathematics
Languages : en
Pages : 414
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Book Description
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.
Author: Peter Dembowski
Publisher: Springer Science & Business Media
ISBN: 3642620124
Category : Mathematics
Languages : en
Pages : 394
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Book Description
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.
Author: Alexander Pott
Publisher: Springer
ISBN: 3540491821
Category : Mathematics
Languages : en
Pages : 185
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Book Description
Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described using only basic knowledge of algebra and algebraic number theory. It contains not only most of our present knowledge about abelian difference sets, but also gives applications of character theory to projective planes with quasiregular collineation groups. Therefore, the book is of interest both to geometers and mathematicians working on difference sets. Moreover, the Fourier transform is important in more applied branches of discrete mathematics such as coding theory and shift register sequences.
Author: James Hirschfeld
Publisher: Springer
ISBN: 1447167902
Category : Mathematics
Languages : en
Pages : 422
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Book Description
This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular point sets in finite n-dimensional projective spaces. General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level.
Author: Lynn Margaret Batten
Publisher: Cambridge University Press
ISBN: 0521590140
Category : Mathematics
Languages : en
Pages : 211
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Book Description
Thoroughly revised and updated, with an entirely new chapter on blocking sets in linear spaces.
Author: M. Aigner
Publisher: Springer
ISBN: 3540386394
Category : Mathematics
Languages : en
Pages : 262
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Book Description
Dedicated to Professor Dr. Hanfried Lenz on the Occasion of his 65th Birthday
Author: J. W. P. Hirschfeld
Publisher: Cambridge University Press
ISBN: 052159538X
Category : Mathematics
Languages : en
Pages : 269
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Book Description
This volume examines state of the art research in finite geometries and designs.
Author: James William Peter Hirschfeld
Publisher: Oxford University Press on Demand
ISBN: 9780198502951
Category : Law
Languages : en
Pages : 555
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Book Description
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.
Author: Simeon Ball
Publisher: Cambridge University Press
ISBN: 1107107997
Category : Mathematics
Languages : en
Pages : 299
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Book Description
A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.
