Author : J. W. P. Hirschfeld
Publisher : Cambridge University Press
Page : 269 pages
File Size : 44,10 MB
Release : 1997-08-14
Category : Mathematics
ISBN : 052159538X
This volume examines state of the art research in finite geometries and designs.
Author : Steven T. Dougherty
Publisher : Springer Nature
Page : 374 pages
File Size : 25,31 MB
Release : 2020-10-30
Category : Mathematics
ISBN : 3030563952
This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.
Author : Sergey Bezuglyi
Publisher : Cambridge University Press
Page : 276 pages
File Size : 12,87 MB
Release : 2003-12-08
Category : Mathematics
ISBN : 9780521533652
This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups.
Author : Y. Komori
Publisher : Cambridge University Press
Page : 396 pages
File Size : 24,44 MB
Release : 2003-11-10
Category : Mathematics
ISBN : 9781139437233
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jørgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research.
Author : Andrew Ranicki
Publisher : Cambridge University Press
Page : 332 pages
File Size : 21,15 MB
Release : 2006-02-09
Category : Mathematics
ISBN : 9780521681605
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.
Author : Andrew Pressley
Publisher : Cambridge University Press
Page : 246 pages
File Size : 29,22 MB
Release : 2002-01-17
Category : Mathematics
ISBN : 9781139437028
This book comprises an overview of the material presented at the 1999 Durham Symposium on Quantum Groups and includes contributions from many of the world's leading figures in this area. It will be of interest to researchers and will also be useful as a reference text for graduate courses.
Author : Dan Henry
Publisher : Cambridge University Press
Page : 217 pages
File Size : 33,31 MB
Release : 2005-05-26
Category : Mathematics
ISBN : 0521574919
This book, first published in 2005, works to answer a wide range of problems involving boundary perturbations in the study of partial differential equations.
Author : S. Albeverio
Publisher : Cambridge University Press
Page : 369 pages
File Size : 30,91 MB
Release : 2010-03-18
Category : Mathematics
ISBN : 0521148561
A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.
Author : Igor Dolgachev
Publisher : Cambridge University Press
Page : 244 pages
File Size : 25,19 MB
Release : 2003-08-07
Category : Mathematics
ISBN : 9780521525480
The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.
Author : C. Ward Henson
Publisher : Cambridge University Press
Page : 286 pages
File Size : 30,90 MB
Release : 2002
Category : Mathematics
ISBN : 9780521648615
This volume comprises articles from four outstanding researchers who work at the cusp of analysis and logic. The emphasis is on active research topics; many results are presented that have not been published before and open problems are formulated. Considerable effort has been made by the authors to integrate their articles and make them accessible to mathematicians new to the area.
