Surveys in Combinatorics 2015
Surveys in Combinatorics 2015

Author: Artur Czumaj

Publisher: Cambridge University Press

Published: 2015-07-02

Total Pages: 333

ISBN-13: 1316432629

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This volume contains nine survey articles based on the invited lectures given at the 25th British Combinatorial Conference, held at the University of Warwick in July 2015. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, Ramsey theory, combinatorial geometry and curves over finite fields. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results and give a unique preview of cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

Surveys in Combinatorics 2017
Surveys in Combinatorics 2017

Author: Anders Claesson

Publisher: Cambridge University Press

Published: 2017-06-30

Total Pages: 451

ISBN-13: 1108350356

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This volume contains nine survey articles which provide expanded accounts of plenary seminars given at the British Combinatorial Conference at the University of Strathclyde in July 2017. This biennial conference is a well-established international event attracting speakers from around the world. Written by internationally recognised experts in the field, these articles represent a timely snapshot of the state of the art in the different areas of combinatorics. Topics covered include the robustness of graph properties, the spt-function of Andrews, switching techniques for edge decompositions of graphs, monotone cellular automata, and applications of relative entropy in additive combinatorics. The book will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

Combinatorial Mathematics
Combinatorial Mathematics

Author: Douglas B. West

Publisher: Cambridge University Press

Published: 2021

Total Pages: 990

ISBN-13: 1107058589

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This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.

Computational Cryptography
Computational Cryptography

Author: Joppe Bos

Publisher:

Published: 2021-12-09

Total Pages: 402

ISBN-13: 1108848427

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The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.

Topological Methods in Group Theory
Topological Methods in Group Theory

Author: N. Broaddus

Publisher: Cambridge University Press

Published: 2018-09-06

Total Pages: 211

ISBN-13: 1108437621

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Details some of the most recent developments at the interface of topology and geometric group theory. Ideal for graduate students.

Groups St Andrews 2017 in Birmingham
Groups St Andrews 2017 in Birmingham

Author: C. M. Campbell

Publisher: Cambridge University Press

Published: 2019-04-11

Total Pages: 510

ISBN-13: 110872874X

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These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.

Beyond Hyperbolicity
Beyond Hyperbolicity

Author: Mark Hagen

Publisher: Cambridge University Press

Published: 2019-07-11

Total Pages: 242

ISBN-13: 1108447295

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Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.

The Genesis of the Langlands Program
The Genesis of the Langlands Program

Author: Julia Mueller

Publisher: Cambridge University Press

Published: 2021-08-05

Total Pages: 452

ISBN-13: 1108619959

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Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate. Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.

Partial Differential Equations in Fluid Mechanics
Partial Differential Equations in Fluid Mechanics

Author: Charles L. Fefferman

Publisher: Cambridge University Press

Published: 2018-09-27

Total Pages: 339

ISBN-13: 1108573592

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The Euler and Navier–Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cutting-edge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weak-strong uniqueness in fluid models and several chapters address the Navier–Stokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers.

Extended Abstracts EuroComb 2021
Extended Abstracts EuroComb 2021

Author: Jaroslav Nešetřil

Publisher: Springer Nature

Published: 2021-08-23

Total Pages: 875

ISBN-13: 3030838234

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This book collects the extended abstracts of the accepted contributions to EuroComb21. A similar book is published at every edition of EuroComb (every two years since 2001) collecting the most recent advances in combinatorics, graph theory, and related areas. It has a wide audience in the areas, and the papers are used and referenced broadly.