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Author : Allan Lo,Richard Mycroft,Guillem Perarnau,Andrew Treglown
Publisher : Cambridge University Press
Page : 274 pages
File Size : 46,8 Mb
Release : 2019-06-27
Category : Mathematics
ISBN : 9781108740722
Eight articles provide a valuable survey of the present state of knowledge in combinatorics.
Author : Felix Fischer,Robert Johnson
Publisher : Cambridge University Press
Page : 305 pages
File Size : 41,5 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 9781009490535
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author : Anthony Nixon,Sean Prendiville
Publisher : Cambridge University Press
Page : 257 pages
File Size : 50,9 Mb
Release : 2022-06-09
Category : Mathematics
ISBN : 9781009096225
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author : Konrad K. Dabrowski,Maximilien Gadouleau,Nicholas Georgiou,Matthew Johnson,George B. Mertzios,Daniël Paulusma
Publisher : Cambridge University Press
Page : 380 pages
File Size : 46,9 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781009041812
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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 49,5 Mb
Release : 1967*
Category : Electronic
ISBN : OCLC:664566252
Author : Anonim
Publisher : Unknown
Page : 308 pages
File Size : 52,6 Mb
Release : 2007
Category : Combinatorial analysis
ISBN : UOM:39015072687976
Author : Konrad K. Dabrowski,Maximilien Gadouleau,Nicholas Georgiou,Matthew Johnson,George B. Mertzios,Daniël Paulusma
Publisher : Cambridge University Press
Page : 379 pages
File Size : 49,6 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781009018883
These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Author : Alexander A. Ivanov
Publisher : Cambridge University Press
Page : 584 pages
File Size : 48,5 Mb
Release : 2023-08-17
Category : Mathematics
ISBN : 9781009338059
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Author : Jeffrey Shallit
Publisher : Cambridge University Press
Page : 376 pages
File Size : 42,8 Mb
Release : 2022-09-30
Category : Computers
ISBN : 9781108786973
Automatic sequences are sequences over a finite alphabet generated by a finite-state machine. This book presents a novel viewpoint on automatic sequences, and more generally on combinatorics on words, by introducing a decision method through which many new results in combinatorics and number theory can be automatically proved or disproved with little or no human intervention. This approach to proving theorems is extremely powerful, allowing long and error-prone case-based arguments to be replaced by simple computations. Readers will learn how to phrase their desired results in first-order logic, using free software to automate the computation process. Results that normally require multipage proofs can emerge in milliseconds, allowing users to engage with mathematical questions that would otherwise be difficult to solve. With more than 150 exercises included, this text is an ideal resource for researchers, graduate students, and advanced undergraduates studying combinatorics, sequences, and number theory.
Author : R. A. Bailey,Peter J. Cameron,Yaokun Wu
Publisher : Cambridge University Press
Page : 452 pages
File Size : 54,5 Mb
Release : 2024-05-30
Category : Mathematics
ISBN : 9781009465946
This collection of four short courses looks at group representations, graph spectra, statistical optimality, and symbolic dynamics, highlighting their common roots in linear algebra. It leads students from the very beginnings in linear algebra to high-level applications: representations of finite groups, leading to probability models and harmonic analysis; eigenvalues of growing graphs from quantum probability techniques; statistical optimality of designs from Laplacian eigenvalues of graphs; and symbolic dynamics, applying matrix stability and K-theory. An invaluable resource for researchers and beginning Ph.D. students, this book includes copious exercises, notes, and references.
Author : Carolina Araujo,Ana-Maria Castravet,Ivan Cheltsov,Kento Fujita,Anne-Sophie Kaloghiros,Jesus Martinez-Garcia,Constantin Shramov,Hendrik Süß,Nivedita Viswanathan
Publisher : Cambridge University Press
Page : 452 pages
File Size : 51,7 Mb
Release : 2023-06-30
Category : Mathematics
ISBN : 9781009239653
Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler–Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. The book's solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, the book presents many different techniques to prove the existence of a Kähler–Einstein metric, containing many additional relevant results such as the classification of all Kähler–Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces. This book will be essential reading for researchers and graduate students working on algebraic geometry and complex geometry.
Author : Kelli Francis-Staite,Dominic Joyce
Publisher : Cambridge University Press
Page : 224 pages
File Size : 55,7 Mb
Release : 2023-12-31
Category : Mathematics
ISBN : 9781009400206
Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds which are nonsingular. However, there is a class of schemes, 'C∞-schemes', which allow differential geometers to study a huge range of singular spaces, including 'infinitesimals' and infinite-dimensional spaces. These are applied in synthetic differential geometry, and derived differential geometry, the study of 'derived manifolds'. Differential geometers also study manifolds with corners. The cube is a 3-dimensional manifold with corners, with boundary the six square faces. This book introduces 'C∞-schemes with corners', singular spaces in differential geometry with good notions of boundary and corners. They can be used to define 'derived manifolds with corners' and 'derived orbifolds with corners'. These have applications to major areas of symplectic geometry involving moduli spaces of J-holomorphic curves. This work will be a welcome source of information and inspiration for graduate students and researchers working in differential or algebraic geometry.
Author : Anthony Hilton,John Talbot
Publisher : Cambridge University Press
Page : 295 pages
File Size : 41,8 Mb
Release : 2007-07-05
Category : Mathematics
ISBN : 9780521698238
Survey articles based on the invited lectures given at the Twenty-first British Combinatorial Conference, first published in 2007.
Author : Anders Claesson,Mark Dukes,Sergey Kitaev,David Manlove,Kitty Meeks
Publisher : Cambridge University Press
Page : 451 pages
File Size : 54,9 Mb
Release : 2017-06-30
Category : Mathematics
ISBN : 9781108413138
This book includes nine articles representing a timely snapshot of the state of the art in the different areas of combinatorics.
Author : Edgard A. Pimentel
Publisher : Cambridge University Press
Page : 203 pages
File Size : 45,7 Mb
Release : 2022-09-29
Category : Mathematics
ISBN : 9781009096669
A modern account of elliptic regularity theory, with a rigorous presentation of recent developments for fundamental models.