model theory encyclopedia of mathematics and its applications

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Model Theory

Author : Wilfrid Hodges
ISBN : 0521304423
Genre : Mathematics
File Size : 39. 11 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.

The Theory Of Partitions

Author : George E. Andrews
ISBN : 052163766X
Genre : Mathematics
File Size : 90. 33 MB
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Discusses mathematics related to partitions of numbers into sums of positive integers.

The Foundations Of Mathematics In The Theory Of Sets

Author : John P. Mayberry
ISBN : 0521770343
Genre : Mathematics
File Size : 82. 10 MB
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This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.

Theory Of Matroids

Author : Neil White
ISBN : 9780521309370
Genre : Mathematics
File Size : 80. 31 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.

Sperner Theory

Author : Konrad Engel
ISBN : 0521452066
Genre : Mathematics
File Size : 33. 97 MB
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Emphasises the powerful methods arising from the fusion of combinatorial techniques with programming, linear algebra, and probability theory.

Topics In Algebraic Graph Theory

Author : Lowell W. Beineke
ISBN : 0521801974
Genre : Mathematics
File Size : 44. 56 MB
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There is no other book with such a wide scope of both areas of algebraic graph theory.

Algorithmic Algebraic Number Theory

Author : M. Pohst
ISBN : 0521596696
Genre : Mathematics
File Size : 27. 2 MB
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Classic book, addressed to all lovers of number theory.

Relational Mathematics

Author : Gunther Schmidt
ISBN : 9780521762687
Genre : Computers
File Size : 51. 62 MB
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A modern, comprehensive 2010 overview providing an easy introduction for applied scientists who are not versed in mathematics.

Bounded Arithmetic Propositional Logic And Complexity Theory

Author : Jan Krajicek
ISBN : 0521452058
Genre : Mathematics
File Size : 58. 32 MB
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Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.

Combinatorics Automata And Number Theory

Author : Valérie Berthé
ISBN : 9780521515979
Genre : Mathematics
File Size : 89. 59 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.

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