Adventures in Group Theory

Adventures in Group Theory PDF Author: David Joyner
Publisher: JHU Press
ISBN: 0801890136
Category : Mathematics
Languages : en
Pages : 329

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Book Description
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.

Adventures in Group Theory

Adventures in Group Theory PDF Author: David Joyner
Publisher: JHU Press
ISBN: 0801890136
Category : Mathematics
Languages : en
Pages : 329

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Book Description
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.

Adventures in Graph Theory

Adventures in Graph Theory PDF Author: W. David Joyner
Publisher: Birkhäuser
ISBN: 3319683837
Category : Mathematics
Languages : en
Pages : 344

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Book Description
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.

Complexity and Randomness in Group Theory

Complexity and Randomness in Group Theory PDF Author: Frédérique Bassino
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110667029
Category : Mathematics
Languages : en
Pages : 386

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Book Description
Detailed Description

Groups, Matrices, and Vector Spaces

Groups, Matrices, and Vector Spaces PDF Author: James B. Carrell
Publisher: Springer
ISBN: 038779428X
Category : Mathematics
Languages : en
Pages : 415

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Book Description
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.

Adventure Group Psychotherapy

Adventure Group Psychotherapy PDF Author: Tony G. Alvarez
Publisher: Routledge
ISBN: 1000228762
Category : Psychology
Languages : en
Pages : 431

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Book Description
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.

Dynamic Group-Piano Teaching

Dynamic Group-Piano Teaching PDF Author: Pamela Pike
Publisher: Routledge
ISBN: 1315280353
Category : Music
Languages : en
Pages : 259

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Book Description
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.

Adventures of a Computational Explorer

Adventures of a Computational Explorer PDF Author: Stephen Wolfram
Publisher: Wolfram Media
ISBN: 1579550274
Category : Biography & Autobiography
Languages : en
Pages : 437

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Book Description
Through his pioneering work in science, technology and language design, Stephen Wolfram has developed his own signature way of thinking about an impressive range of subjects. In this lively book of essays, Wolfram takes the reader along on some of his most surprising and engaging intellectual adventures. From science consulting for a Hollywood movie, solving problems of AI ethics, hunting for the source of an unusual polyhedron, communicating with extraterrestrials, to finding the fundamental theory of physics and exploring the digits of pi, Adventures of a Computational Explorer captures the infectious energy and curiosity of one of the great pioneers of the computational world.

Math from Three to Seven

Math from Three to Seven PDF Author: Aleksandr K. Zvonkin
Publisher: American Mathematical Soc.
ISBN: 082186873X
Category : Education
Languages : en
Pages : 321

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Book Description
This book is a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. What are they capable of? What should they learn first? How hard should they work? Should they even "work" at all? Should we push them, or just let them be? There are no correct answers to these questions, and the author deals with them in classic math-circle style: he doesn't ask and then answer a question, but shows us a problem--be it mathematical or pedagogical--and describes to us what happened. His book is a narrative about what he did, what he tried, what worked, what failed, but most important, what the kids experienced. This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children. Mathematicians, psychologists, educators, parents, and everybody interested in the intellectual development in young children will find this book to be an invaluable, inspiring resource. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Mathematical Expeditions

Mathematical Expeditions PDF Author: Frank J. Swetz
Publisher: JHU Press
ISBN: 1421404370
Category : Mathematics
Languages : en
Pages : 205

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Book Description
"A collection of over 500 culturally and historically diverse mathematical problems carefully chosen to enrich mathematics teaching from middle school through the college level."--Provided by publisher.

Big Book of Low-Cost Training Games: Quick, Effective Activities that Explore Communication, Goal Setting, Character Development, Teambuilding, and

Big Book of Low-Cost Training Games: Quick, Effective Activities that Explore Communication, Goal Setting, Character Development, Teambuilding, and PDF Author: Mary Scannell
Publisher: McGraw Hill Professional
ISBN: 0071781072
Category : Business & Economics
Languages : en
Pages : 257

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Book Description
Make training a game that everyone can win! Featuring activities and exercises designed for groups of any size, The Big Book of Low-Cost Training Games proves that training can still deliver outstanding results, even when you’re watching the bottom line. Whether you’re a trainer or facilitator, a group leader or manager, you’ll find the games in this book are excellent tools for building trust, exploring character, fostering collaboration, and demonstrating more effective communication techniques. Better still, with minimal props like index cards and markers, these activities are not just cost-effective but are also simple to set up and can be done virtually anywhere. From painless icebreakers to group challenges to meaningful community-building projects, The Big Book of Low-Cost Training Games is your winning game plan for maximizing group engagement and getting the most ROI from your training budget.