combinatorial geometries encyclopedia of mathematics and its applications

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Matroid Applications

Author : Neil White
ISBN : 0521381657
Genre : Mathematics
File Size : 30. 98 MB
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This volume, the third in a sequence that began with The Theory of Matroids and Combinatorial Geometries, concentrates on the applications of matroid theory to a variety of topics from engineering (rigidity and scene analysis), combinatorics (graphs, lattices, codes and designs), topology and operations research (the greedy algorithm).

Geometry Of Sporadic Groups Volume 1 Petersen And Tilde Geometries

Author : A. A. Ivanov
ISBN : 0521413621
Genre : Mathematics
File Size : 55. 27 MB
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Important monograph on finite group theory.

Combinatorial Geometries

Author : Neil White
ISBN : 0521333393
Genre : Mathematics
File Size : 38. 30 MB
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This book is a continuation of Theory of Matroids (also edited by Neil White), and again consists of a series of related surveys that have been contributed by authorities in the area. The volume begins with three chapters on coordinatisations, followed by one on matching theory. The next two deal with transversal and simplicial matroids. These are followed by studies of the important matroid invariants. The final chapter deals with matroids in combinatorial optimisation, a topic of much current interest. The whole volume has been carefully edited to ensure a uniform style and notation throughout, and to make a work that can be used as a reference or as an introductory textbook for graduate students or non-specialists.

Oriented Matroids

Author : Anders Björner
ISBN : 052177750X
Genre : Mathematics
File Size : 40. 34 MB
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First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research.

Theory Of Matroids

Author : Neil White
ISBN : 9780521309370
Genre : Mathematics
File Size : 78. 80 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.


Author : Henryk Minc
ISBN : 0521302269
Genre : Mathematics
File Size : 55. 49 MB
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The purpose of this book, which was first published in 1978, is to give a complete account of the theory of permanents, their history and applications. This volume was the first complete account of the theory of permanents, covering virtually the whole of the subject, a feature that no simple survey of the theory of matrices can even attempt. The work also contains many results stated without formal proofs. This book can be used as a textbook at the advanced undergraduate or graduate level. The only prerequisites are a standard undergraduate course in the theory of matrices and a measure of mathematical maturity.

Relational Mathematics

Author : Gunther Schmidt
ISBN : 9780521762687
Genre : Computers
File Size : 55. 93 MB
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A modern, comprehensive 2010 overview providing an easy introduction for applied scientists who are not versed in mathematics.

Finite Fields

Author : Rudolf Lidl
ISBN : 0521392314
Genre : Mathematics
File Size : 48. 90 MB
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This book is devoted entirely to the theory of finite fields.

Matroid Theory

Author : Joseph Edmond Bonin
ISBN : 9780821805084
Genre : Mathematics
File Size : 74. 53 MB
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This volume contains the proceedings of the 1995 AMS-IMS-SIAM Joint Summer Research Conference on Matroid Theory held at the University of Washington, Seattle. The book features three comprehensive surveys that bring the reader to the forefront of research in matroid theory. Joseph Kung's encyclopedic treatment of the critical problem traces the development of this problem from its origins through its numerous links with other branches of mathematics to the current status of its many aspects. James Oxley's survey of the role of connectivity and structure theorems in matroid theory stresses the influence of the Wheels and Whirls Theorem of Tutte and the Splitter Theorem of Seymour. Walter Whiteley's article unifies applications of matroid theory to constrained geometrical systems, including the rigidity of bar-and-joint frameworks, parallel drawings, and splines. These widely accessible articles contain many new results and directions for further research and applications. The surveys are complemented by selected short research papers. The volume concludes with a chapter of open problems. Features self-contained, accessible surveys of three active research areas in matroid theory; many new results; pointers to new research topics; a chapter of open problems; mathematical applications; and applications and connections to other disciplines, such as computer-aided design and electrical and structural engineering.

Categorical Foundations

Author : Maria Cristina Pedicchio
ISBN : 0521834147
Genre : Mathematics
File Size : 44. 98 MB
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The book offers categorical introductions to order, topology, algebra and sheaf theory, suitable for graduate students, teachers and researchers of pure mathematics.

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