Design Theory

Author: Thomas Beth
Editor: Cambridge University Press
ISBN: 9780521772310
Size: 17,27 MB
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This is the second edition of the standard text on design theory. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.

The Theory Of Partitions

Author: George E. Andrews
Editor: Cambridge University Press
ISBN: 9780521637664
Size: 20,47 MB
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Discusses mathematics related to partitions of numbers into sums of positive integers.

Theory Of Matroids

Author: Neil White
Editor: Cambridge University Press
ISBN: 0521309379
Size: 11,25 MB
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The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic.

Relational Mathematics

Author: Gunther Schmidt
Editor: Cambridge University Press
ISBN: 0521762685
Size: 18,18 MB
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A modern, comprehensive 2010 overview providing an easy introduction for applied scientists who are not versed in mathematics.

Topics In Topological Graph Theory

Author: Lowell W. Beineke
Editor: Cambridge University Press
ISBN: 1139643681
Size: 20,95 MB
Format: PDF
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The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.

Combinatorial Matrix Theory

Author: Richard A. Brualdi
Editor: Birkhäuser
ISBN: 3319709534
Size: 19,26 MB
Format: PDF
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This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi. The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanović delivered the third one, devoted to describing the spectral radius of a graph as a tool to provide bounds of parameters related with properties of a graph. The fourth lecture was delivered by Stephen Kirkland and is dedicated to the applications of the Group Inverse of the Laplacian matrix. The last one, given by Ángeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem.

The Foundations Of Mathematics In The Theory Of Sets

Author: John P. Mayberry
Editor: Cambridge University Press
ISBN: 9780521770347
Size: 10,62 MB
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This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.

Finite Geometry And Combinatorial Applications

Author: Simeon Ball
Editor: Cambridge University Press
ISBN: 1107107997
Size: 11,29 MB
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A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.

Finite Fields

Author: Rudolf Lidl
Editor: Cambridge University Press
ISBN: 9780521392310
Size: 13,19 MB
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This book is devoted entirely to the theory of finite fields.

The Banach Tarski Paradox

Author: Stan Wagon
Editor: Cambridge University Press
ISBN: 9780521457040
Size: 16,71 MB
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This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up to date proofs and discusses many unsolved problems.