A textbook designed for a one- or two-semester sophomore-level course for mathematics or science majors. Each chapter contains several examples and problems, as well as applications, mini-projects, and computer exercises. Complete solutions for 90% of the computer exercises are given using Maple, Mathematica, and MATLAB. Annotation c. by Book News, Inc., Portland, Or.

Linear Algebra With Applications

Science & Math

Joyner, David

Nakos, George

Mathematics

Brooks/Cole Pub. Co.

Group theory deals with symmetry, in the most abstract form possible. It is a core part of the undergraduate math curriculum, and forms part of the training of theoretical physicists and chemical crystallographers. Group theory has tended to be very dry―until now. David Joyner uses mathematical toys (primarily the Rubik's Cube and its more modern cousins, the Megaminx, the Pyraminx, and so on) as well as other mathematical examples (e.g., bell ringing) to breathe new life into a time-honored subject.
"Why," asks the author, "should two such different topics, mechanical puzzles and abstract group theory, be related? This book takes the reader on an intellectual trip to answer this curiosity." Adventures in Group Theory will not only appeal to all math enthusiasts and interested general readers but will also find use in the classroom as a wonderful supplementary text in any abstract algebra or group theory course.

Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

Humor & Entertainment

Puzzles & Games

Johns Hopkins University Press

With the advent of computers that can handle symbolic manipulations, abstract algebra can now be applied. In this book 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. They cover basic topics such as the Euclidean algorithm, encryption, and permutations. Hamming codes and Reed-Solomon codes used on today's CDs are also discussed. The authors present examples as diverse as "Rotation," available on the Nokia 7160 cell phone, bell ringing, and the game of NIM. In place of the standard treatment of group theory, which emphasizes the classification of groups, the authors highlight examples and computations. Cyclic groups, the general linear group GL(n), and the symmetric groups are emphasized.
With its clear writing style and wealth of examples, Applied Abstract Algebra will be welcomed by mathematicians, computer scientists, and students alike. 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.

Applied Abstract Algebra

Business & Money

Kreminski, Richard

Turisco, Joann

Economics

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.

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.

Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades.
Employing Sage―a free open-source mathematics software system―to illustrate ideas, this book is intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.

Selected Unsolved Problems in Coding Theory (Applied and Numerical Harmonic Analysis)

Kim, Jon-Lark

Reference

Birkhauser

Teaching at Scale explores the characteristics and parameters of large-scale online learning by identifying, in its perceived drawbacks, a wealth of educational opportunities in disguise. Scalable learning platforms have exploded in popularity over recent years, with MOOCS, online degree programs, informal learning communities, and alternative credentials all drawing significant enrollments. But, as many educators are asking, are the challenges to delivering education at scale too great and the compromises too many? This book guides instructors to leverage their complex responsibilities--open-ended assessments at scale, individuated feedback to students, academic integrity in less controlled environments, and more--into significant assets. Informed by real-world institutional experience as well as key research in cognitive science and the learning sciences, each chapter provides practical strategies for educators and administrators seeking to solve problems and fulfill the high-quality, broad-access potential of large-scale instruction for lifelong learners.

Teaching at Scale

Computers & Technology

Computer Science

Routledge

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

Introduction to Differential Equations Using Sage

Hampton, Marshall

This is a tutorial explaining how to use the free and open source mathematical software package Sage (version 6.1.1). Sage and this can be downloaded free from the website: http://www.sagemath.org/. Copyright: (c) 2014 Creative Commons Attribution-ShareAlike 3.0. Royalties go directly to the Sage Foundation.

Sage Tutorial

Stein, William

Software

Createspace Independent Pub

See the best price to sell, buy, or rent books by Joyner, David. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Joyner, David

See the best price to sell, buy, or rent books by Joyner, David. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Linear Algebra With Applications

Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

Applied Abstract Algebra

Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

Selected Unsolved Problems in Coding Theory (Applied and Numerical Harmonic Analysis)

Teaching at Scale

Teaching at Scale

Introduction to Differential Equations Using Sage

Sage Tutorial