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.

Inequalities for Graph Eigenvalues

Inequalities for Graph Eigenvalues
Author: Zoran Stanić
Publisher: Cambridge University Press
Total Pages: 311
Release: 2015-07-23
Genre: Mathematics
ISBN: 1316395758

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.

Fundamentals of Hyperbolic Manifolds

Fundamentals of Hyperbolic Manifolds
Author: R. D. Canary
Publisher: Cambridge University Press
Total Pages: 356
Release: 2006-04-13
Genre: Mathematics
ISBN: 9781139447195

Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an up-to-date bibliography, giving a contemporary context in which the work can be set. Part II expounds the theory of convex hull boundaries and their bending laminations. A new appendix describes recent work. Part III is Thurston's famous paper that presents the notion of earthquakes in hyperbolic geometry and proves the earthquake theorem. The final part introduces the theory of measures on the limit set, drawing attention to related ergodic theory and the exponent of convergence. The book will be welcomed by graduate students and professional mathematicians who want a rigorous introduction to some basic tools essential for the modern theory of hyperbolic manifolds.

Mathematical Models in Contact Mechanics

Mathematical Models in Contact Mechanics
Author: Mircea Sofonea
Publisher: Cambridge University Press
Total Pages: 295
Release: 2012-09-13
Genre: Science
ISBN: 1107606659

A complete introduction to the modelling and mathematical analysis of contact processes with deformable solids.

Elliptic Cohomology

Elliptic Cohomology
Author: Haynes R. Miller
Publisher: Cambridge University Press
Total Pages: 17
Release: 2007-03-15
Genre: Mathematics
ISBN: 052170040X

First collection of papers on elliptic cohomology in twenty years; represents the diversity of topics within this important field.

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.

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.