Author : Bridget S. Webb
Publisher : Cambridge University Press
Page : 270 pages
File Size : 14,30 MB
Release : 2005-07-21
Category : Mathematics
ISBN : 9780521615235
This volume provides an up-to-date overview of current research across combinatorics,.
Author : Simon R. Blackburn
Publisher : Cambridge University Press
Page : 387 pages
File Size : 44,75 MB
Release : 2013
Category : Combinatorial analysis
ISBN : 1107651956
Surveys of recent important developments in combinatorics covering a wide range of areas in the field.
Author : Konrad K. Dabrowski
Publisher : Cambridge University Press
Page : 380 pages
File Size : 43,12 MB
Release : 2021-06-24
Category : Mathematics
ISBN : 1009041819
This volume contains nine survey articles based on plenary lectures given at the 28th British Combinatorial Conference, hosted online by Durham University in July 2021. This biennial conference is a well-established international event, attracting speakers from around the world. Written by some of the foremost researchers in the field, these surveys provide up-to-date overviews of several areas of contemporary interest in combinatorics. Topics discussed include maximal subgroups of finite simple groups, Hasse–Weil type theorems and relevant classes of polynomial functions, the partition complex, the graph isomorphism problem, and Borel combinatorics. Representing a snapshot of current developments in combinatorics, this book will be of interest to researchers and graduate students in mathematics and theoretical computer science.
Author : C. S. Aravinda
Publisher : Cambridge University Press
Page : 378 pages
File Size : 43,72 MB
Release : 2016-01-21
Category : Mathematics
ISBN : 1316539180
The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, this proceedings volume provides an overview of important recent developments relating to negative curvature. Topics covered include homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic buildings. Each author pays particular attention to the expository aspects, making the book particularly useful for graduate students and mathematicians interested in transitioning from other areas via the common theme of negative curvature.
Author : Boris Zilber
Publisher : Cambridge University Press
Page : 225 pages
File Size : 28,78 MB
Release : 2010-02-04
Category : Mathematics
ISBN : 1139486519
This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Beginning with a crash course in model theory, this book will suit not only model theorists but also readers with a more classical geometric background.
Author : Javier Majadas
Publisher : Cambridge University Press
Page : 141 pages
File Size : 38,15 MB
Release : 2010-05-06
Category : Mathematics
ISBN : 1139485806
Written to complement standard texts on commutative algebra, this short book gives complete and relatively easy proofs of important results, including the standard results involving localisation of formal smoothness (M. André) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and André on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms. The authors make extensive use of the André–Quillen homology of commutative algebras, but only up to dimension 2, which is easy to construct, and they deliberately avoid using simplicial methods. The book also serves as an accessible introduction to some advanced topics and techniques. The only prerequisites are a basic course in commutative algebra and the first definitions in homological algebra.
Author : Luis Dieulefait
Publisher : Cambridge University Press
Page : 539 pages
File Size : 44,54 MB
Release : 2015-10-08
Category : Mathematics
ISBN : 1107462541
The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.
Author : Zoran Stanić
Publisher : Cambridge University Press
Page : 311 pages
File Size : 48,64 MB
Release : 2015-07-23
Category : Mathematics
ISBN : 1107545978
This book explores the inequalities for eigenvalues of the six matrices associated with graphs. Includes the main results and selected applications.
Author : Douglas B. West
Publisher : Cambridge University Press
Page : 990 pages
File Size : 15,30 MB
Release : 2021
Category : Mathematics
ISBN : 1107058589
This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.
Author : J. C. Meyer
Publisher : Cambridge University Press
Page : 177 pages
File Size : 11,12 MB
Release : 2015-10-22
Category : Mathematics
ISBN : 1316301079
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.
