Adventures in Group Theory
eBook - ePub

Adventures in Group Theory

Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Adventures in Group Theory

Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

About this book

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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Adventures in Group Theory by David Joyner in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Title Page
  3. Copyright Page
  4. Dedication
  5. Contents
  6. Preface
  7. Acknowledgments
  8. Where to begin. . .
  9. Chapter 1 Elementary, my dear Watson
  10. Chapter 2 ‘And you do addition?’
  11. Chapter 3 Bell ringing and other permutations
  12. Chapter 4 A procession of permutation puzzles
  13. Chapter 5 What’s commutative and purple?
  14. Chapter 6 Welcome to the machine
  15. Chapter 7 ‘God’s algorithm’ and graphs
  16. Chapter 8 Symmetry and the Platonic solids
  17. Chapter 9 The illegal cube group
  18. Chapter 10 Words which move
  19. Chapter 11 The (legal) Rubik’s Cube group
  20. Chapter 12 Squares, two-faces, and other subgroups
  21. Chapter 13 Other Rubik-like puzzle groups
  22. Chapter 14 Crossing the Rubicon
  23. Chapter 15 Some solution strategies
  24. Chapter 16 Coda: Questions and other directions
  25. Bibliography
  26. Index