Foundations of Computational Mathematics, Santander 2005

Foundations of Computational Mathematics, Santander 2005

Author: Society for the Foundation of Computational Mathematics

Publisher: Cambridge University Press

Published: 2006-06-29

Total Pages: 395

ISBN-13: 0521681618

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Surveys and summaries of latest research in numerical analysis, optimization, computer algebra and scientific computing.


Surveys in Combinatorics 2015

Surveys in Combinatorics 2015

Author: Artur Czumaj

Publisher: Cambridge University Press

Published: 2015-07-02

Total Pages: 333

ISBN-13: 1107462509

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This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.


Groups St Andrews 2013

Groups St Andrews 2013

Author: C. M. Campbell

Publisher: Cambridge University Press

Published: 2015-10-22

Total Pages: 503

ISBN-13: 1316467910

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Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of those meetings have provided a regular snapshot of the state of the art in group theory and helped to shape the direction of research in the field. This volume contains selected papers from the 2013 meeting held in St Andrews. It begins with major articles from each of the four main speakers: Emmanuel Breuillard (Paris-Sud), Martin Liebeck (Imperial College London), Alan Reid (Texas) and Karen Vogtmann (Cornell). These are followed by, in alphabetical order, survey articles contributed by other conference participants, which cover a wide spectrum of modern group theory.


The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations

The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations

Author: J. C. Meyer

Publisher: Cambridge University Press

Published: 2015-10-22

Total Pages: 177

ISBN-13: 1316301079

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Reaction-diffusion theory is a topic which has developed rapidly over the last thirty years, particularly with regards to applications in chemistry and life sciences. Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous, is Hölder and/or upper Lipschitz continuous, a scenario that is not well studied, despite occurring often in models. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard). Extensions of classical maximum/minimum principles, comparison theorems and derivative (Schauder-type) estimates are developed and employed. Detailed specific applications are presented in the later stages of the monograph. Requiring only a solid background in real analysis, this book is suitable for researchers in all areas of study involving semi-linear parabolic PDEs.


Inequalities for Graph Eigenvalues

Inequalities for Graph Eigenvalues

Author: Zoran Stanić

Publisher: Cambridge University Press

Published: 2015-07-23

Total Pages: 311

ISBN-13: 1316395758

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Written for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix, and distance matrix. The book begins with a brief survey of the main results and selected applications to related topics, including chemistry, physics, biology, computer science, and control theory. The author then proceeds to detail proofs, discussions, comparisons, examples, and exercises. Each chapter ends with a brief survey of further results. The author also points to open problems and gives ideas for further reading.


Fusion Systems in Algebra and Topology

Fusion Systems in Algebra and Topology

Author: Michael Aschbacher

Publisher: Cambridge University Press

Published: 2011-08-25

Total Pages: 329

ISBN-13: 1107601002

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A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.


O-Minimality and Diophantine Geometry

O-Minimality and Diophantine Geometry

Author: G. O. Jones

Publisher: Cambridge University Press

Published: 2015-08-13

Total Pages: 235

ISBN-13: 1107462495

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This book brings the researcher up to date with recent applications of mathematical logic to number theory.


Highly Oscillatory Problems

Highly Oscillatory Problems

Author: Bjorn Engquist

Publisher: Cambridge University Press

Published: 2009-07-02

Total Pages: 254

ISBN-13: 0521134439

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Review papers from experts in areas of active research into highly oscillatory problems, with an emphasis on computation.


Random Walks and Heat Kernels on Graphs

Random Walks and Heat Kernels on Graphs

Author: M. T. Barlow

Publisher: Cambridge University Press

Published: 2017-02-23

Total Pages: 239

ISBN-13: 1107674425

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Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.