Adventures In Group Theory
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Adventures In Group Theory
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Author : David Joyner
language : en
Publisher: JHU Press
Release Date : 2008-12-29
Adventures In Group Theory written by David Joyner and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-29 with Mathematics categories.
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.
Adventures In Graph Theory
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Author : W. David Joyner
language : en
Publisher: Birkhäuser
Release Date : 2017-12-28
Adventures In Graph Theory written by W. David Joyner and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-28 with Mathematics categories.
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.
A Course On Group Theory
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Author : John S. Rose
language : en
Publisher: Courier Corporation
Release Date : 2013-05-27
A Course On Group Theory written by John S. Rose and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-27 with Mathematics categories.
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.
Complexity And Randomness In Group Theory
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Author : Frédérique Bassino
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-06-08
Complexity And Randomness In Group Theory written by Frédérique Bassino and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-08 with Mathematics categories.
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.
Groups Matrices And Vector Spaces
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Author : James B. Carrell
language : en
Publisher: Springer
Release Date : 2017-09-02
Groups Matrices And Vector Spaces written by James B. Carrell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-02 with Mathematics categories.
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.
Fundamentals Of Group Theory
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Author : Steven Roman
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-26
Fundamentals Of Group Theory written by Steven Roman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-26 with Mathematics categories.
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.
Adventure Group Psychotherapy
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Author : Tony G. Alvarez
language : en
Publisher: Routledge
Release Date : 2020-11-29
Adventure Group Psychotherapy written by Tony G. Alvarez and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-29 with Psychology categories.
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.
A Course In Group Theory
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Author : J. F. Humphreys
language : en
Publisher: Oxford University Press, USA
Release Date : 1996
A Course In Group Theory written by J. F. Humphreys and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Language Arts & Disciplines categories.
Each chapter ends with a summary of the material covered and notes on the history and development of group theory.
Alex S Adventures In Numberland
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Author : Alex Bellos
language : en
Publisher: A&C Black
Release Date : 2010-04-05
Alex S Adventures In Numberland written by Alex Bellos and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-05 with Mathematics categories.
A tenth anniversary edition of the iconic book about the wonderful world of maths Sunday Times bestseller | Shortlisted for the BBC Samuel Johnson Prize 'Original and highly entertaining' Sunday Times 'A page turner about humanity's strange, never easy and, above all, never dull relationship with numbers' New Scientist 'Will leave you hooked on numbers' Daily Telegraph In this richly entertaining and accessible book, Alex Bellos explodes the myth that maths is best left to the geeks, and demonstrates the remarkable ways it's linked to our everyday lives. Alex explains the surprising geometry of the 50p piece, and the strategy of how best to gamble it in a casino. He shines a light on the mathematical patterns in nature, and on the peculiar predictability of random behaviour. He eats a potato crisp whose revolutionary shape was unpalatable to the ancient Greeks, and he shows the deep connections between maths, religion and philosophy. From the world's fastest mental calculators in Germany to numerologists in the US desert, from a startlingly numerate chimpanzee in Japan to venerable Hindu sages in India, these dispatches from 'Numberland' are an unlikely but exhilarating cocktail of history, reportage and mathematical proofs. The world of maths is a much friendlier and more colourful place than you might have imagined. This anniversary edition is fully revised and updated.
Them
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Author : Jon Ronson
language : en
Publisher: Simon and Schuster
Release Date : 2011-06-28
Them written by Jon Ronson and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Political Science categories.
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