The Theory Of Partitions

Author: George E. Andrews
Editor: Cambridge University Press
ISBN: 9780521637664
Size: 18,93 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: 10,53 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.

Design Theory

Author: Thomas Beth
Editor: Cambridge University Press
ISBN: 9780521772310
Size: 13,70 MB
Format: PDF, Docs
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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.

Relational Mathematics

Author: Gunther Schmidt
Editor: Cambridge University Press
ISBN: 0521762685
Size: 20,39 MB
Format: PDF, ePub
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A modern, comprehensive 2010 overview providing an easy introduction for applied scientists who are not versed in mathematics.

Mathematical Theory Of Entropy

Author: Nathaniel F. G. Martin
Editor: Cambridge University Press
ISBN: 9780521177382
Size: 15,90 MB
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This excellent 1981 treatment of the mathematical theory of entropy gives an accessible exposition its application to other fields.

Combinatorics Automata And Number Theory

Author: Valérie Berthé
Editor: Cambridge University Press
ISBN: 0521515971
Size: 12,89 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.

Nonnegative Matrices And Applications

Author: R. B. Bapat
Editor: Cambridge University Press
ISBN: 9780521571678
Size: 16,37 MB
Format: PDF, Kindle
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This book provides an integrated treatment of the theory of nonnegative matrices (matrices with only positive numbers or zero as entries) and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimisation and mathematical economics. The wide variety of applications, which include price fixing, scheduling and the fair division problem, have been carefully chosen both for their elegant mathematical content and for their accessibility to students with minimal preparation. Many results in matrix theory are also presented. The treatment is rigorous and almost all results are proved completely. These results and applications will be of great interest to researchers in linear programming, statistics and operations research. The minimal prerequisites also make the book accessible to first-year graduate students.

Topics In Algebraic Graph Theory

Author: Lowell W. Beineke
Editor: Cambridge University Press
ISBN: 9780521801973
Size: 16,84 MB
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There is no other book with such a wide scope of both areas of algebraic graph theory.

Model Theory

Author: Wilfrid Hodges
Editor: Cambridge University Press
ISBN: 9780521304429
Size: 19,60 MB
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Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.

Introduction To The Modern Theory Of Dynamical Systems

Author: Anatole Katok
Editor: Cambridge University Press
ISBN: 9780521575577
Size: 13,33 MB
Format: PDF, Mobi
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This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate and up.