Adventures in Group Theory

Author: David Joyner
Publisher: JHU Press
ISBN: 9780801897269
Release Date: 2008-12-05
Genre: Mathematics

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.

Computational Group Theory and the Theory of Groups

Author: Luise-Charlotte Kappe
Publisher: American Mathematical Soc.
ISBN: 9780821843659
Release Date: 2008
Genre: Mathematics

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.

Applied Abstract Algebra

Author: David Joyner
Publisher: JHU Press
ISBN: 0801878225
Release Date: 2004-04-27
Genre: Business & Economics

David Joyner, Richard Kreminski, and Joann Turisco introduce a wide range of abstract algebra with relevant and interesting applications, from error-correcting codes to cryptography to the group theory of Rubik's cube. Each chapter includes exercises in GAP (a free computer algebra system) and MAGMA (a noncommercial computer algebra system), which are especially helpful in giving students a grasp of practical examples.

The Equation that Couldn t Be Solved

Author: Mario Livio
Publisher: Simon and Schuster
ISBN: 0743274628
Release Date: 2005-09-19
Genre: Mathematics

What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

Introduction to Differential Equations Using Sage

Author: David Joyner
Publisher: JHU Press
ISBN: 9781421407241
Release Date: 2012-07-30
Genre: Mathematics

David Joyner and Marshall Hampton’s lucid textbook explains differential equations using the free and open-source mathematical software Sage. Since its release in 2005, Sage has acquired a substantial following among mathematicians, but its first user was Joyner, who is credited with helping famed mathematician William Stein turn the program into a usable and popular choice. Introduction to Differential Equations Using Sage extends Stein's work by creating a classroom tool that allows both differential equations and Sage to be taught concurrently. It’s a creative and forward-thinking approach to math instruction. Topics include: • First-Order Differential Equations • Incorporation of Newtonian Mechanics• Second-Order Differential Equations• The Annihilator Method• Using Linear Algebra with Differential Equations• Nonlinear Systems• Partial Differential Equations• Romeo and Juliet

Banbury

Author: Brian Little
Publisher: Breedon Books Publishing
ISBN: 1859834248
Release Date: 2005
Genre: Banbury (England)

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."