Foundations of Computational Mathematics, Budapest 2011

Foundations of Computational Mathematics, Budapest 2011
Author: Society for the Foundation of Computational Mathematics
Publisher: Cambridge University Press
Total Pages: 249
Release: 2013
Genre: Computers
ISBN: 1107604079

A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and non-experts.

Foundations of Computational Mathematics, Hong Kong 2008

Foundations of Computational Mathematics, Hong Kong 2008
Author: Felipe Cucker
Publisher: Cambridge University Press
Total Pages: 287
Release: 2009-07-02
Genre: Mathematics
ISBN: 0521739705

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

Mathematical Aspects of Fluid Mechanics

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

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

Data-Intensive Science

Data-Intensive Science
Author: Terence Critchlow
Publisher: CRC Press
Total Pages: 449
Release: 2016-04-19
Genre: Computers
ISBN: 100075569X

Data-intensive science has the potential to transform scientific research and quickly translate scientific progress into complete solutions, policies, and economic success. But this collaborative science is still lacking the effective access and exchange of knowledge among scientists, researchers, and policy makers across a range of disciplines. Bringing together leaders from multiple scientific disciplines, Data-Intensive Science shows how a comprehensive integration of various techniques and technological advances can effectively harness the vast amount of data being generated and significantly accelerate scientific progress to address some of the world's most challenging problems. In the book, a diverse cross-section of application, computer, and data scientists explores the impact of data-intensive science on current research and describes emerging technologies that will enable future scientific breakthroughs. The book identifies best practices used to tackle challenges facing data-intensive science as well as gaps in these approaches. It also focuses on the integration of data-intensive science into standard research practice, explaining how components in the data-intensive science environment need to work together to provide the necessary infrastructure for community-scale scientific collaborations. Organizing the material based on a high-level, data-intensive science workflow, this book provides an understanding of the scientific problems that would benefit from collaborative research, the current capabilities of data-intensive science, and the solutions to enable the next round of scientific advancements.

A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory

A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory
Author: Bangming Deng
Publisher: Cambridge University Press
Total Pages: 217
Release: 2012-12-06
Genre: Mathematics
ISBN: 1139789937

The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel–Hall algebras and Schur–Weyl duality.

Automorphisms and Equivalence Relations in Topological Dynamics

Automorphisms and Equivalence Relations in Topological Dynamics
Author: David B. Ellis
Publisher: Cambridge University Press
Total Pages: 283
Release: 2014-06-05
Genre: Mathematics
ISBN: 1139952935

Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of minimal sets provides an original treatment of some key aspects of abstract topological dynamics. Such an approach is presented in this lucid and self-contained book, leading to simpler proofs of classical results, as well as providing motivation for further study. Minimal flows on compact Hausdorff spaces are studied as icers on the universal minimal flow M. The group of the icer representing a minimal flow is defined as a subgroup of the automorphism group G of M, and icers are constructed explicitly as relative products using subgroups of G. Many classical results are then obtained by examining the structure of the icers on M, including a proof of the Furstenberg structure theorem for distal extensions. This book is designed as both a guide for graduate students, and a source of interesting new ideas for researchers.

Surveys in Combinatorics 2013

Surveys in Combinatorics 2013
Author: Simon R. Blackburn
Publisher: Cambridge University Press
Total Pages: 387
Release: 2013-06-27
Genre: Mathematics
ISBN: 1107276934

This volume contains nine survey articles based on the invited lectures given at the 24th British Combinatorial Conference, held at Royal Holloway, University of London in July 2013. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, matroid theory and automatic counting, as well as connections to coding theory and Bent functions. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results and give a unique preview of cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

Reversibility in Dynamics and Group Theory

Reversibility in Dynamics and Group Theory
Author: Anthony G. O'Farrell
Publisher: Cambridge University Press
Total Pages: 295
Release: 2015-05-28
Genre: Mathematics
ISBN: 1316195767

Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing reversibility means that researchers who encounter the concept may be unaware of related work in other fields. This text is the first to make reversibility the focus of attention. The authors fix standard notation and terminology, establish the basic common principles, and illustrate the impact of reversibility in such diverse areas as group theory, differential and analytic geometry, number theory, complex analysis and approximation theory. As well as showing connections between different fields, the authors' viewpoint reveals many open questions, making this book ideal for graduate students and researchers. The exposition is accessible to readers at the advanced undergraduate level and above.