Introduction to Approximate Groups

Introduction to Approximate Groups
Author :
Publisher : Cambridge University Press
Total Pages : 220
Release :
ISBN-10 : 9781108470735
ISBN-13 : 1108470734
Rating : 4/5 (35 Downloads)

Synopsis Introduction to Approximate Groups by : Matthew C. H. Tointon

Provides a comprehensive exploration of the main concepts and techniques from the young, exciting field of approximate groups.

Introduction to Approximate Groups

Introduction to Approximate Groups
Author :
Publisher : Cambridge University Press
Total Pages : 221
Release :
ISBN-10 : 9781108571609
ISBN-13 : 1108571603
Rating : 4/5 (09 Downloads)

Synopsis Introduction to Approximate Groups by : Matthew C. H. Tointon

Approximate groups have shot to prominence in recent years, driven both by rapid progress in the field itself and by a varied and expanding range of applications. This text collects, for the first time in book form, the main concepts and techniques into a single, self-contained introduction. The author presents a number of recent developments in the field, including an exposition of his recent result classifying nilpotent approximate groups. The book also features a considerable amount of previously unpublished material, as well as numerous exercises and motivating examples. It closes with a substantial chapter on applications, including an exposition of Breuillard, Green and Tao's celebrated approximate-group proof of Gromov's theorem on groups of polynomial growth. Written by an author who is at the forefront of both researching and teaching this topic, this text will be useful to advanced students and to researchers working in approximate groups and related areas.

A Course in Finite Group Representation Theory

A Course in Finite Group Representation Theory
Author :
Publisher : Cambridge University Press
Total Pages : 339
Release :
ISBN-10 : 9781107162396
ISBN-13 : 1107162394
Rating : 4/5 (96 Downloads)

Synopsis A Course in Finite Group Representation Theory by : Peter Webb

This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Mathematical Software -- ICMS 2014

Mathematical Software -- ICMS 2014
Author :
Publisher : Springer
Total Pages : 762
Release :
ISBN-10 : 9783662441992
ISBN-13 : 3662441993
Rating : 4/5 (92 Downloads)

Synopsis Mathematical Software -- ICMS 2014 by : Hoon Hong

This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Groebner; triangular; parametric; interfaces and general.

Applying the Classification of Finite Simple Groups

Applying the Classification of Finite Simple Groups
Author :
Publisher : American Mathematical Soc.
Total Pages : 248
Release :
ISBN-10 : 9781470442910
ISBN-13 : 1470442914
Rating : 4/5 (10 Downloads)

Synopsis Applying the Classification of Finite Simple Groups by : Stephen D. Smith

Classification of Finite Simple Groups (CFSG) is a major project involving work by hundreds of researchers. The work was largely completed by about 1983, although final publication of the “quasithin” part was delayed until 2004. Since the 1980s, CFSG has had a huge influence on work in finite group theory and in many adjacent fields of mathematics. This book attempts to survey and sample a number of such topics from the very large and increasingly active research area of applications of CFSG. The book is based on the author's lectures at the September 2015 Venice Summer School on Finite Groups. With about 50 exercises from original lectures, it can serve as a second-year graduate course for students who have had first-year graduate algebra. It may be of particular interest to students looking for a dissertation topic around group theory. It can also be useful as an introduction and basic reference; in addition, it indicates fuller citations to the appropriate literature for readers who wish to go on to more detailed sources.

Expansion in Finite Simple Groups of Lie Type

Expansion in Finite Simple Groups of Lie Type
Author :
Publisher : American Mathematical Soc.
Total Pages : 319
Release :
ISBN-10 : 9781470421960
ISBN-13 : 1470421968
Rating : 4/5 (60 Downloads)

Synopsis Expansion in Finite Simple Groups of Lie Type by : Terence Tao

Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics. This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, escape from subvarieties, and the Balog-Szemerédi-Gowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely self-contained, with additional sections on the general theory of expanders, spectral theory, Lie theory, and the Lang-Weil bound, as well as numerous exercises and other optional material.

Introduction to Topological Groups

Introduction to Topological Groups
Author :
Publisher : Courier Dover Publications
Total Pages : 241
Release :
ISBN-10 : 9780486819198
ISBN-13 : 0486819191
Rating : 4/5 (98 Downloads)

Synopsis Introduction to Topological Groups by : Taqdir Husain

Concise treatment covers semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras. 1966 edition.

A Concise Course in Algebraic Topology

A Concise Course in Algebraic Topology
Author :
Publisher : University of Chicago Press
Total Pages : 262
Release :
ISBN-10 : 0226511839
ISBN-13 : 9780226511832
Rating : 4/5 (39 Downloads)

Synopsis A Concise Course in Algebraic Topology by : J. P. May

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Introduction to Business Analytics Using Simulation

Introduction to Business Analytics Using Simulation
Author :
Publisher : Academic Press
Total Pages : 513
Release :
ISBN-10 : 9780323991179
ISBN-13 : 0323991173
Rating : 4/5 (79 Downloads)

Synopsis Introduction to Business Analytics Using Simulation by : Jonathan P. Pinder

Introduction to Business Analytics Using Simulation, Second Edition employs an innovative strategy to teach business analytics. The book uses simulation modeling and analysis as mechanisms to introduce and link predictive and prescriptive modeling. Because managers can't fully assess what will happen in the future, but must still make decisions, the book treats uncertainty as an essential element in decision-making. Its use of simulation gives readers a superior way of analyzing past data, understanding an uncertain future, and optimizing results to select the best decision. With its focus on uncertainty and variability, this book provides a comprehensive foundation for business analytics. Students will gain a better understanding of fundamental statistical concepts that are essential to marketing research, Six-Sigma, financial analysis, and business analytics. - Teaches managers how they can use business analytics to formulate and solve business problems to enhance managerial decision-making - Explains the processes needed to develop, report and analyze business data - Describes how to use and apply business analytics software - Offers expanded coverage on the value and application of prescriptive analytics - Includes a wealth of illustrative exercises that are newly organized by difficulty level - Winner of the 2017 Textbook and Academic Authors Association's (TAA) Most Promising New Textbook Award in the prior edition

Introduction to Elementary Particle Theory

Introduction to Elementary Particle Theory
Author :
Publisher : Pergamon
Total Pages : 410
Release :
ISBN-10 : PSU:000027127186
ISBN-13 :
Rating : 4/5 (86 Downloads)

Synopsis Introduction to Elementary Particle Theory by : I︠U︡riĭ Viktorovich Novozhilov