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Author : David Joyner
Publisher : JHU Press
Page : 329 pages
File Size : 43,6 Mb
Release : 2008-12-29
Category : Mathematics
ISBN : 9780801890130
David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations.
Author : John S. Rose
Publisher : Courier Corporation
Page : 320 pages
File Size : 47,5 Mb
Release : 2013-05-27
Category : Mathematics
ISBN : 9780486170664
Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.
Author : W. David Joyner,Caroline Grant Melles
Publisher : Birkhäuser
Page : 327 pages
File Size : 55,8 Mb
Release : 2017-12-28
Category : Mathematics
ISBN : 9783319683836
This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book’s source code can be found at github.com/springer-math/adventures-in-graph-theory. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics.
Author : David Joyner
Publisher : JHU Press
Page : 330 pages
File Size : 53,7 Mb
Release : 2008-12-29
Category : Mathematics
ISBN : 9780801897269
This updated and revised edition of David Joyner’s entertaining “hands-on” tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys. Joyner uses permutation puzzles such as the Rubik’s Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin’s Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra and group theory. Subjects covered include the Cayley graphs, symmetries, isomorphisms, wreath products, free groups, and finite fields of group theory, as well as algebraic matrices, combinatorics, and permutations. Featuring strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of Adventures in Group Theory is perfect for mathematics enthusiasts and for use as a supplementary textbook.
Author : Frédérique Bassino,Ilya Kapovich,Markus Lohrey,Alexei Miasnikov,Cyril Nicaud,Andrey Nikolaev,Igor Rivin,Vladimir Shpilrain,Alexander Ushakov,Pascal Weil
Publisher : Walter de Gruyter GmbH & Co KG
Page : 386 pages
File Size : 41,7 Mb
Release : 2020-06-08
Category : Mathematics
ISBN : 9783110667028
This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.
Author : James B. Carrell
Publisher : Springer
Page : 410 pages
File Size : 51,7 Mb
Release : 2017-09-02
Category : Mathematics
ISBN : 9780387794280
This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications involving symm etry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable.
Author : Jon Ronson
Publisher : Simon and Schuster
Page : 290 pages
File Size : 47,5 Mb
Release : 2011-06-28
Category : Political Science
ISBN : 9781439126738
A New York Times–bestselling author hangs out with conspiracy theorists and hunts for the Bilderberg Group in this “hilarious, disturbing” memoir (The New York Times). A wide variety of extremist groups, from Islamic fundamentalists to neo-Nazis, share the oddly similar belief that a tiny shadowy elite rule the world from a secret room. In Them, journalist Jon Ronson has joined the extremists to track down the fabled secret room. As a journalist and a Jew, Ronson was often considered one of “Them,” but he had no idea if their meetings actually took place. Was he just not invited? Them takes us across three continents and into the secret room. Along the way he meets Omar Bakri Mohammed, considered one of the most dangerous men in Great Britain, PR-savvy Ku Klux Klan Grand Wizard Thom Robb, and the survivors of Ruby Ridge. He is chased by men in dark glasses and unmasked as a Jew in the middle of a Jihad training camp. In the forests of northern California he even witnesses CEOs and leading politicians—like Dick Cheney—undertake a bizarre owl ritual. Ronson’s investigations, by turns creepy and comical, reveal some alarming things about the looking-glass world of “us” and “them.” Them is a deep and fascinating look at the lives and minds of extremists. Are the extremists onto something? Or is Jon Ronson becoming one of them? “Jon Ronson has managed to write a hugely amusing book about the lunatic fringe.” —The Washington Post “Them is at times funny, other times unsettling, but always astonishing.” —Booklist “It takes a funny man to see the humor in all the conspiracy theories that float hatefully across the land, and Jon Ronson is a funny man. It takes a brave man to chase that humor right into the belly of the beast, and Jon Ronson is a brave man too.” —The San Diego Union-Tribune
Author : Tony G. Alvarez,Gary Stauffer,D. Maurie Lung,Kim Sacksteder,Bobbi Beale,Anita R. Tucker
Publisher : Routledge
Page : 409 pages
File Size : 54,5 Mb
Release : 2020-11-29
Category : Psychology
ISBN : 9781000228762
Adventure Group Psychotherapy: An Experiential Approach to Treatment explores what is necessary for an experiential therapy group to function effectively, and the practical skills needed to inspire success. The authors describe how to use activities in a manner that produces the greatest opportunity for clients to reach their goals. Issues such as how to actively assess client functioning in the group, how to select the appropriate activity, how to shape an effective environment, and how to help clients process their experience are a few of the aspects examined to help clients move toward their goals. The practical skills the authors describe enable readers to immediately learn and apply their practice with groups. This book will be an important tool in any group therapy class, in practice settings to train practitioners, and for any clinician trying to expand their group work capabilities.
Author : Charles C Pinter
Publisher : Courier Corporation
Page : 402 pages
File Size : 46,8 Mb
Release : 2010-01-14
Category : Mathematics
ISBN : 9780486474175
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Author : Anonim
Publisher : Hal Leonard Corporation
Page : 96 pages
File Size : 51,8 Mb
Release : 2011-03-01
Category : Music
ISBN : 9781616779757
(Faber Piano Adventures ). This inventive sightreading course uses sets of exercises based on melodic and rhythmic patterns from the 2nd Edition Primer Lesson Book. Students play one exercise a day, completing one set per week. Entertaining musical art helps guide the sightreading process and each page presents a new learning vignette in a spirit of fun.
Author : Nancy Faber,Randall Faber
Publisher : Unknown
Page : 0 pages
File Size : 42,9 Mb
Release : 2015-03
Category : Piano
ISBN : 1616776714
Piano/Keyboard Methods/Series
Author : AMS Special Session on Computational Group Theory
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 45,9 Mb
Release : 2008
Category : Computational complexity
ISBN : 9780821843659
"The power of general purpose computational algebra systems running on personal computers has increased rapidly in recent years. For mathematicians doing research in group theory, this means a growing set of sophisticated computational tools are now available for their use in developing new theoretical results." "This volume consists of contributions by researchers invited to the AMS Special Session on Computational Group Theory held in March 2007. The main focus of the session was on the application of Computational Group Theory (CGT) to a wide range of theoretical aspects of group theory. The articles in this volume provide a variety of examples of how these computer systems helped to solve interesting theoretical problems within the discipline, such as constructions of finite simple groups, classification of $p$-groups via coclass, representation theory and constructions involving free nilpotent groups. The volume also includes an article by R. F. Morse highlighting applications of CGT in group theory and two survey articles." "Graduate students and researchers interested in various aspects of group theory will find many examples of Computational Group Theory helping research and will recognize it as yet another tool at their disposal."--BOOK JACKET.
Author : Steven Roman
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 47,5 Mb
Release : 2011-10-26
Category : Mathematics
ISBN : 9780817683016
Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area. This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.
Author : Arnout Jozef Ceulemans
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 43,8 Mb
Release : 2013-09-03
Category : Science
ISBN : 9789400768635
Chemists are used to the operational definition of symmetry, which crystallographers introduced long before the advent of quantum mechanics. The ball-and-stick models of molecules naturally exhibit the symmetrical properties of macroscopic objects. However, the practitioner of quantum chemistry and molecular modeling is not concerned with balls and sticks, but with subatomic particles: nuclei and electrons. This textbook introduces the subtle metaphors which relate our macroscopic understanding of symmetry to the molecular world. It gradually explains how bodily rotations and reflections, which leave all inter-particle distances unaltered, affect the study of molecular phenomena that depend only on these internal distances. It helps readers to acquire the skills to make use of the mathematical tools of group theory for whatever chemical problems they are confronted with in the course of their own research.
Author : W. R. Scott,William Raymond Scott
Publisher : Courier Corporation
Page : 516 pages
File Size : 51,9 Mb
Release : 1987-01-01
Category : Mathematics
ISBN : 9780486653778
Here is a clear, well-organized coverage of the most standard theorems, including isomorphism theorems, transformations and subgroups, direct sums, abelian groups, and more. This undergraduate-level text features more than 500 exercises.