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 1139852140

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This volume takes its name from a popular series of intensive mathematics workshops hosted at institutions in Appalachia and surrounding areas. At these meetings, internationally prominent set theorists give one-day lectures that focus on important new directions, methods, tools and results so that non-experts can begin to master these and incorporate them into their own research. Each chapter in this volume was written by the workshop leaders in collaboration with select student participants, and together they represent most of the meetings from the period 2006–2012. Topics covered include forcing and large cardinals, descriptive set theory, and applications of set theoretic ideas in group theory and analysis, making this volume essential reading for a wide range of researchers and graduate students.

Combinatorial Set Theory of C*-algebras

Combinatorial Set Theory of C*-algebras
Title Combinatorial Set Theory of C*-algebras PDF eBook
Author Ilijas Farah
Publisher Springer Nature
Pages 535
Release 2019-12-24
Genre Mathematics
ISBN 3030270939

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This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students. A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters.

Trends in Set Theory

Trends in Set Theory
Title Trends in Set Theory PDF eBook
Author Samuel Coskey
Publisher American Mathematical Soc.
Pages 207
Release 2020-06-18
Genre Education
ISBN 1470443325

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This volume contains the proceedings of Simon Fest, held in honor of Simon Thomas's 60th birthday, from September 15–17, 2017, at Rutgers University, Piscataway, New Jersey. The topics covered showcase recent advances from a variety of main areas of set theory, including descriptive set theory, forcing, and inner model theory, in addition to several applications of set theory, including ergodic theory, combinatorics, and model theory.

Stochastic Stability of Differential Equations in Abstract Spaces

Stochastic Stability of Differential Equations in Abstract Spaces
Title Stochastic Stability of Differential Equations in Abstract Spaces PDF eBook
Author Kai Liu
Publisher Cambridge University Press
Pages 277
Release 2019-05-02
Genre Mathematics
ISBN 1108705170

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Presents a unified treatment of stochastic differential equations in abstract, mainly Hilbert, spaces.

Beyond Hyperbolicity

Beyond Hyperbolicity
Title Beyond Hyperbolicity PDF eBook
Author Mark Hagen
Publisher Cambridge University Press
Pages 242
Release 2019-07-11
Genre Mathematics
ISBN 1108447295

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Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.

Surveys in Combinatorics 2019

Surveys in Combinatorics 2019
Title Surveys in Combinatorics 2019 PDF eBook
Author Allan Lo
Publisher Cambridge University Press
Pages 274
Release 2019-06-27
Genre Mathematics
ISBN 1108740723

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Eight articles provide a valuable survey of the present state of knowledge in combinatorics.

Partial Differential Equations in Fluid Mechanics

Partial Differential Equations in Fluid Mechanics
Title Partial Differential Equations in Fluid Mechanics PDF eBook
Author Charles L. Fefferman
Publisher Cambridge University Press
Pages 339
Release 2018-09-27
Genre Mathematics
ISBN 1108460968

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A selection of survey articles and original research papers in mathematical fluid mechanics, for both researchers and graduate students.