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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...
Publisher Description
Although the patterns are computer-generated, the book is informal and emphasis is on the fun that the true pattern lover finds in doing rather than in reading about the doing.
This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.
Shares overviews of nearly one thousand schools for a variety of disciplines, in a directory that lists educational institutions by state and field of study while sharing complementary information about tuition, enrollment, and faculties.
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This book aims to situate the much-ignored public Marquis de Sade, author of eleven stories collected into four volumes under the title Les Crimes de l'amour (1800), vis-à-vis the better-known Marquis de Sade, author of various anonymous works privileged by contemporary critics. Who is this author who - after the success of all his clandestine works - cast aside the cloak of anonymity to offer the public a collection of short fiction? This book explores how Les Crimes de l'amour provides a key to better understanding Sade's prose in both its public and its clandestine guise. More than just a critical appraisal of each of the stories, this book sheds light on Sade in his role as a man of letters publishing in his own name. By considering the ramifications of Sade's goals as a writer, stated explicitly in the «Idée sur les romans», the prefatory essay to Les Crimes, and how these goals compare to those of his contemporaries, as well as how they play out in Les Crimes, Sade in His Own Name opens up new, historically situated readings of the better-known anonymous works.
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
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