combinatorial geometries encyclopedia of mathematics and its applications

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Matroid Applications

Author : Neil White
ISBN : 0521381657
Genre : Mathematics
File Size : 28. 22 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).

Combinatorial Geometries

Author : Neil White
ISBN : 0521333393
Genre : Mathematics
File Size : 27. 90 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.

Algebraic Combinatorics On Words

Author : M. Lothaire
ISBN : 0521812208
Genre : Mathematics
File Size : 63. 74 MB
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Comprehensive 2002 introduction to combinatorics on words for mathematicians and theoretical computer scientists.

Oriented Matroids

Author : Anders Björner
ISBN : 052177750X
Genre : Mathematics
File Size : 84. 16 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 : 32. 14 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.

Combinatorics Automata And Number Theory

Author : Valérie Berthé
ISBN : 9780521515979
Genre : Mathematics
File Size : 88. 78 MB
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This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the implications and applications. Books in the Encyclopedia of Mathematics and its Applications cover their subjects comprehensively. Less important results may be summarised as exercises at the ends of chapters, For technicalities, readers can be referred to the bibliography, which is expected to be comprehensive. As a result, volumes are encyclopedic references or manageable guides to major subjects.

Finite Fields

Author : Rudolf Lidl
ISBN : 0521392314
Genre : Mathematics
File Size : 25. 28 MB
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This book is devoted entirely to the theory of finite fields.

Relational Mathematics

Author : Gunther Schmidt
ISBN : 9780521762687
Genre : Computers
File Size : 20. 51 MB
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A modern, comprehensive 2010 overview providing an easy introduction for applied scientists who are not versed in mathematics.

Permanents

Author : Henryk Minc
ISBN : 0521302269
Genre : Mathematics
File Size : 39. 78 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.

Matrices And Graphs In Geometry

Author : Miroslav Fiedler
ISBN : 9780521461931
Genre : Mathematics
File Size : 27. 91 MB
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This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the implications and applications. Books in the Encyclopedia of Mathematics and Its Applications cover their subjects comprehensively. Less important results may be summarized as exercises at the ends of chapters. Each book contains an extensive bibliography. Thus the volumes are encyclopedic references or manageable guides to major subjects.

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