Surveys in Combinatorics 2007

Surveys in Combinatorics 2007
Title Surveys in Combinatorics 2007 PDF eBook
Author Anthony Hilton
Publisher Cambridge University Press
Pages 295
Release 2007-07-05
Genre Mathematics
ISBN 0521698235

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Survey articles based on the invited lectures given at the Twenty-first British Combinatorial Conference, first published in 2007.

Surveys in Combinatorics 2007

Surveys in Combinatorics 2007
Title Surveys in Combinatorics 2007 PDF eBook
Author Anthony Hilton
Publisher
Pages 296
Release 2007
Genre Combinatorial analysis
ISBN 9781107367869

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Survey articles based on the invited lectures given at the Twenty-first British Combinatorial Conference, first published in 2007.

Combinatorics and Probability

Combinatorics and Probability
Title Combinatorics and Probability PDF eBook
Author Graham Brightwell
Publisher Cambridge University Press
Pages 27
Release 2007-03-08
Genre Mathematics
ISBN 0521872073

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This volume celebrating the 60th birthday of Béla Bollobás presents the state of the art in combinatorics.

Forcing with Random Variables and Proof Complexity

Forcing with Random Variables and Proof Complexity
Title Forcing with Random Variables and Proof Complexity PDF eBook
Author Jan Krajíček
Publisher Cambridge University Press
Pages 265
Release 2010-12-23
Genre Mathematics
ISBN 1139493922

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This book introduces a new approach to building models of bounded arithmetic, with techniques drawn from recent results in computational complexity. Propositional proof systems and bounded arithmetics are closely related. In particular, proving lower bounds on the lengths of proofs in propositional proof systems is equivalent to constructing certain extensions of models of bounded arithmetic. This offers a clean and coherent framework for thinking about lower bounds for proof lengths, and it has proved quite successful in the past. This book outlines a brand new method for constructing models of bounded arithmetic, thus for proving independence results and establishing lower bounds for proof lengths. The models are built from random variables defined on a sample space which is a non-standard finite set and sampled by functions of some restricted computational complexity. It will appeal to anyone interested in logical approaches to fundamental problems in complexity theory.

Appalachian Set Theory

Appalachian Set Theory
Title Appalachian Set Theory PDF eBook
Author James Cummings
Publisher Cambridge University Press
Pages 433
Release 2012-11-15
Genre Mathematics
ISBN 1107608503

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Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.

Mathematical Aspects of Fluid Mechanics

Mathematical Aspects of Fluid Mechanics
Title Mathematical Aspects of Fluid Mechanics PDF eBook
Author James C. Robinson
Publisher Cambridge University Press
Pages 275
Release 2012-10-18
Genre Mathematics
ISBN 1107609259

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A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.

Topological Methods in Group Theory

Topological Methods in Group Theory
Title Topological Methods in Group Theory PDF eBook
Author N. Broaddus
Publisher Cambridge University Press
Pages 211
Release 2018-09-06
Genre Mathematics
ISBN 1108530508

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This volume collects the proceedings of the conference 'Topological methods in group theory', held at Ohio State University in 2014 in honor of Ross Geoghegan's 70th birthday. It consists of eleven peer-reviewed papers on some of the most recent developments at the interface of topology and geometric group theory. The authors have given particular attention to clear exposition, making this volume especially useful for graduate students and for mathematicians in other areas interested in gaining a taste of this rich and active field. A wide cross-section of topics in geometric group theory and topology are represented, including left-orderable groups, groups defined by automata, connectivity properties and Σ-invariants of groups, amenability and non-amenability problems, and boundaries of certain groups. Also included are topics that are more geometric or topological in nature, such as the geometry of simplices, decomposition complexity of certain groups, and problems in shape theory.