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.
“Where else would you rather be?” For many people today, particularly in affluent, lifestyle-driven beachside suburbs, that is their mantra—and being at church and following Jesus is perhaps the furthest thing from their minds. As Christians grapple with how to bring the good news to an increasingly hedonistic and apathetic post-Christian culture, this book shows where we find ourselves culturally, discusses why that is, and suggests some ways forward including how we might reorder people’s disordered loves; fostering a faithful presence in our spheres of influence; and seeking ways to connect meaningfully. All this is a way of assisting churches in their particular cultural contexts to move from an attractional mode of thinking about ministry and church life to a mindset that enables them to carry out effective gospel ministry to their community and underlying subcultures. The author hopes it will be a help for churches that have historically struggled to be missionally focused, serving as an encouragement in reconsidering their approach to ministry planning, so they might have a significant, gospel-based, long-term impact on individual church members and the community life of the church to bring blessing to their suburbs, gospel growth to churches, and glory to God.
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.
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