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.
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.
A Course On Group Theory
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Author : John S. Rose
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01
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 1994-01-01 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.
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.
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.
Group Theory
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Author : W. R. Scott
language : en
Publisher: Courier Corporation
Release Date : 1987-01-01
Group Theory written by W. R. Scott and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Mathematics categories.
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.
Banbury
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Author : Brian Little
language : en
Publisher: Breedon Books Publishing
Release Date : 2005
Banbury written by Brian Little and has been published by Breedon Books Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Banbury (England) categories.
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."
Group Theory
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Author : George a Duckett
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2015-12-24
Group Theory written by George a Duckett and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-24 with categories.
If you have a question about Group Theory this is the book with the answers. Group Theory: Questions and Answers takes some of the best questions and answers asked on the math.stackexchange.com website. You can use this book to lookup commonly asked questions, browse questions on a particular topic, compare answers to common topics, check out the original source and much more. This book has been designed to be very easy to use, with many internal references set up that makes browsing in many different ways possible. Topics covered include: abstract algebra, finite groups, abelian groups, representation theory, category theory and many more."
Computational Group Theory And The Theory Of Groups
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Author : AMS Special Session on Computational Group Theory
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Computational Group Theory And The Theory Of Groups written by AMS Special Session on Computational Group Theory and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computational complexity categories.
"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.