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Author: David Joyner Publisher: JHU Press ISBN: 0801897262 Category : Mathematics Languages : en Pages : 330
Book Description
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: David Joyner Publisher: JHU Press ISBN: 0801897262 Category : Mathematics Languages : en Pages : 330
Book Description
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: W. David Joyner Publisher: Birkhäuser ISBN: 3319683837 Category : Mathematics Languages : en Pages : 344
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.
Author: Bob Stremba Publisher: Human Kinetics ISBN: 0736071261 Category : Education Languages : en Pages : 410
Book Description
Written for instructors who want their classroom experience to be as involving as the field, Teaching Adventure Education Theory offers activities instructors can use to help students make the connections between theory and practice. Top educators provide lesson plans that cover adventure theory, philosophy, history, and conceptual models.
Author: Tony G. Alvarez Publisher: Routledge ISBN: 1000228762 Category : Psychology Languages : en Pages : 409
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.
Author: Frédérique Bassino Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110667029 Category : Mathematics Languages : en Pages : 386
Book Description
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: Luise-Charlotte Kappe Publisher: American Mathematical Soc. ISBN: 0821843656 Category : Computers Languages : en Pages : 298
Book Description
"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: Brian Little Publisher: Breedon Books Publishing ISBN: 9781859834244 Category : Banbury (England) Languages : en Pages : 207
Book Description
The history of a prosperous Midlands market town, which by the 19th century was the unchallenged capital of a thriving and extensive agricultural region and the "metropolis of the carrier's cart."
Author: David Joyner
Author: David Joyner
Author: W. David Joyner
Author: Bob Stremba
Author: Tony G. Alvarez
Author: Frédérique Bassino
Author: Nyayapathi Venkata Vykuntha Jagannadha Swamy
Author: Michio Suzuki
Author: Luise-Charlotte Kappe
Author: P. B. Bhattacharya
Author: Brian Little