eBook PDF Download Digital Library
Author: Bridget S. Webb
Publisher: Cambridge University Press
Published: 2005-07-21
Total Pages: 270
ISBN-13: 9780521615235
DOWNLOAD EBOOK →This volume provides an up-to-date overview of current research across combinatorics,.
Author: Bridget S. Webb
Publisher:
Published: 2005
Total Pages: 266
ISBN-13: 9781107367579
DOWNLOAD EBOOK →This volume provides an up-to-date overview of current research across combinatorics,.
Author: Bridget S. Webb
Publisher:
Published: 2014-05-14
Total Pages: 264
ISBN-13: 9781107362666
DOWNLOAD EBOOK →This volume provides an up-to-date overview of current research across combinatorics,
Author: Konrad K. Dabrowski
Publisher: Cambridge University Press
Published: 2021-06-24
Total Pages: 379
ISBN-13: 1009018884
DOWNLOAD EBOOK →These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Author: Gordon Blower
Publisher: Cambridge University Press
Published: 2009-10-08
Total Pages: 448
ISBN-13: 1139481959
DOWNLOAD EBOOK →This book focuses on the behaviour of large random matrices. Standard results are covered, and the presentation emphasizes elementary operator theory and differential equations, so as to be accessible to graduate students and other non-experts. The introductory chapters review material on Lie groups and probability measures in a style suitable for applications in random matrix theory. Later chapters use modern convexity theory to establish subtle results about the convergence of eigenvalue distributions as the size of the matrices increases. Random matrices are viewed as geometrical objects with large dimension. The book analyzes the concentration of measure phenomenon, which describes how measures behave on geometrical objects with large dimension. To prove such results for random matrices, the book develops the modern theory of optimal transportation and proves the associated functional inequalities involving entropy and information. These include the logarithmic Sobolev inequality, which measures how fast some physical systems converge to equilibrium.
Author: Grégory Berhuy
Publisher: Cambridge University Press
Published: 2010-09-09
Total Pages: 328
ISBN-13: 1139490885
DOWNLOAD EBOOK →This is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic results of the theory. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
Author: S. Alinhac
Publisher: Cambridge University Press
Published: 2010-05-20
Total Pages:
ISBN-13: 1139485814
DOWNLOAD EBOOK →Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.
Author: Jan Krajíček
Publisher: Cambridge University Press
Published: 2010-12-23
Total Pages: 265
ISBN-13: 1139493922
DOWNLOAD EBOOK →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.
Author: Joachim Gudmundsson
Publisher: Springer
Published: 2012-08-14
Total Pages: 617
ISBN-13: 3642322417
DOWNLOAD EBOOK →This book constitutes the refereed proceedings of the 18th Annual International Conference on Computing and Combinatorics, held in Sydney, Australia, in August 2012. The 50 revised full papers presented were carefully reviewed and selected from 121 submissions. Topics covered are algorithms and data structures; algorithmic game theory and online algorithms; automata, languages, logic, and computability; combinatorics related to algorithms and complexity; complexity theory; computational learning theory and knowledge discovery; cryptography, reliability and security, and database theory; computational biology and bioinformatics; computational algebra, geometry, and number theory; graph drawing and information visualization; graph theory, communication networks, and optimization.
Author: James C. Robinson
Publisher: Cambridge University Press
Published: 2016-01-21
Total Pages: 247
ISBN-13: 131658934X
DOWNLOAD EBOOK →The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
