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Adventures In Group Theory
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Book Synopsis Adventures in Group Theory by : David Joyner
Download or read book Adventures in Group Theory written by David Joyner and published by JHU Press. This book was released on 2008-12-29 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Adventures in Group Theory by : David Joyner
Download or read book Adventures in Group Theory written by David Joyner and published by JHU Press. This book was released on 2008-12-29 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Adventures in Graph Theory by : W. David Joyner
Download or read book Adventures in Graph Theory written by W. David Joyner and published by Birkhäuser. This book was released on 2017-12-28 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Geometric Group Theory by : Mladen Bestvina
Download or read book Geometric Group Theory written by Mladen Bestvina and published by American Mathematical Soc.. This book was released on 2014-12-24 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very rapidly and the present volume provides an introduction to and overview of various topics which have played critical roles in this evolution. The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory. The institute consists of a set of intensive short courses offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The courses begin at an introductory level suitable for graduate students and lead up to currently active topics of research. The articles in this volume include introductions to CAT(0) cube complexes and groups, to modern small cancellation theory, to isometry groups of general CAT(0) spaces, and a discussion of nilpotent genus in the context of mapping class groups and CAT(0) groups. One course surveys quasi-isometric rigidity, others contain an exploration of the geometry of Outer space, of actions of arithmetic groups, lectures on lattices and locally symmetric spaces, on marked length spectra and on expander graphs, Property tau and approximate groups. This book is a valuable resource for graduate students and researchers interested in geometric group theory. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Book Synopsis Complexity and Randomness in Group Theory by : Frédérique Bassino
Download or read book Complexity and Randomness in Group Theory written by Frédérique Bassino and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Adventure Group Psychotherapy by : Tony G. Alvarez
Download or read book Adventure Group Psychotherapy written by Tony G. Alvarez and published by Routledge. This book was released on 2020-11-29 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Groups, Matrices, and Vector Spaces by : James B. Carrell
Download or read book Groups, Matrices, and Vector Spaces written by James B. Carrell and published by Springer. This book was released on 2017-09-02 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Book of Abstract Algebra by : Charles C Pinter
Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Them written by Jon Ronson and published by Simon and Schuster. This book was released on 2011-06-28 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Dynamic Group-Piano Teaching by : Pamela Pike
Download or read book Dynamic Group-Piano Teaching written by Pamela Pike and published by Routledge. This book was released on 2017-05-08 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Group-Piano Teaching provides future teachers of group piano with an extensive framework of concepts upon which effective and dynamic teaching strategies can be explored and developed. Within fifteen chapters, it encompasses learning theory, group process, and group dynamics within the context of group-piano instruction. This book encourages teachers to transfer learning and group dynamics theory into classroom practice. As a piano pedagogy textbook, supplement for pedagogy classes, or resource for graduate teaching assistants and professional piano teachers, the book examines learning theory, student needs, assessment, and specific issues for the group-piano instructor.
Book Synopsis Adventures in Raspberry Pi by : Carrie Anne Philbin
Download or read book Adventures in Raspberry Pi written by Carrie Anne Philbin and published by John Wiley & Sons. This book was released on 2015-02-02 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coding for kids is cool with Raspberry Pi and this elementary guide Even if your kids don't have an ounce of computer geek in them, they can learn to code with Raspberry Pi and this wonderful book. Written for 11- to 15-year-olds and assuming no prior computing knowledge, this book uses the wildly successful, low-cost, credit-card-sized Raspberry Pi computer to explain fundamental computing concepts. Young people will enjoy going through the book's nine fun projects while they learn basic programming and system administration skills, starting with the very basics of how to plug in the board and turn it on. Each project includes a lively and informative video to reinforce the lessons. It's perfect for young, eager self-learners—your kids can jump in, set up their Raspberry Pi, and go through the lessons on their own. Written by Carrie Anne Philbin, a high school teacher of computing who advises the U.K. government on the revised ICT Curriculum Teaches 11- to 15-year-olds programming and system administration skills using Raspberry Pi Features 9 fun projects accompanied by lively and helpful videos Raspberry Pi is a $35/£25 credit-card-sized computer created by the non-profit Raspberry Pi Foundation; over a million have been sold Help your children have fun and learn computing skills at the same time with Adventures in Raspberry Pi.
Book Synopsis Level 3a - Sightreading Book by : Nancy Faber
Download or read book Level 3a - Sightreading Book written by Nancy Faber and published by . This book was released on 2015-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Piano/Keyboard Methods/Series
Book Synopsis Here's Looking at Euclid by : Alex Bellos
Download or read book Here's Looking at Euclid written by Alex Bellos and published by Free Press. This book was released on 2011-04-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place." Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct—including the revelation that ants can actually count how many steps they’ve taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games. Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. Here’s Looking at Euclid is a rare gem that brings the beauty of math to life.
Author :AMS Special Session on Computational Group Theory Publisher :American Mathematical Soc. ISBN 13 :0821843656 Total Pages :298 pages Book Rating :4.8/5 (218 download)
Book Synopsis Computational Group Theory and the Theory of Groups by : AMS Special Session on Computational Group Theory
Download or read book Computational Group Theory and the Theory of Groups written by AMS Special Session on Computational Group Theory and published by American Mathematical Soc.. This book was released on 2008 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Fundamentals of Group Theory by : Steven Roman
Download or read book Fundamentals of Group Theory written by Steven Roman and published by Springer Science & Business Media. This book was released on 2011-10-26 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Group Theory written by W. R. Scott and published by Courier Corporation. This book was released on 1987-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Group Theory Applied to Chemistry by : Arnout Jozef Ceulemans
Download or read book Group Theory Applied to Chemistry written by Arnout Jozef Ceulemans and published by Springer Science & Business Media. This book was released on 2013-09-03 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
