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From Error-Correcting Codes Through Sphere Packings to Simple Groups (Carus Mathematical Monographs) - Hardcover
Synopsis
This book traces a remarkable path of mathematical connections through seemingly disparate topics. Frustrations with a 1940's electro-mechanical computer at a premier research laboratory begin this story. Subsequent mathematical methods of encoding messages to ensure correctness when transmitted over noisy channels led to discoveries of extremely efficient lattice packings of equal-radius balls, especially in 24-dimensional space. In turn, this highly symmetric lattice, with each point neighbouring exactly 196,560 other points, suggested the possible presence of new simple groups as groups of symmetries. Indeed, new groups were found and are now part of the 'Enormous Theorem' - the classification of all simple groups whose entire proof runs to some 10,000+ pages. And these connections, along with the fascinating history and the proof of the simplicity of one of those 'sporadic' simple groups, are presented at an undergraduate mathematical level.
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Book Description
Mathematical methods of encoding messages to ensure correctness when transmitted over noisy channels led to discoveries of extremely efficient sphere lattice packings. In turn, this suggested the possible presence of new groups of symmetries. These connections, along with the fascinating history, are presented at an undergraduate mathematical level.
About the Author
Thomas M. Thompson recieved his Ph.D. from the University of California. He teaches at Walla Walla College in southeastern Washington State where he has received The Thomas and Violet Zapara Excellence in Teaching Award in mathematics and science.
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- PublisherMathematical Assn of Amer
- Publication date1983
- ISBN 10 0883850230
- ISBN 13 9780883850237
- BindingHardcover
- LanguageEnglish
- Number of pages228
- Rating
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From Error-Correcting Codes Through Spere Packing to Simple Groups
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ISBN 10: 0883850230
ISBN 13: 9780883850237
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From Error-Correcting Codes Through Spere Packing to Simple Groups
Published by
Wiley & Sons, Limited, John, 1985
ISBN 10: 0883850230
ISBN 13: 9780883850237
Used
Hardcover
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From Error-Correcting Codes Through Sphere Packings to Simple Groups. The Carus Mathematical Monographs, Number Twenty-One
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The Mathematical Association of America, 1984
ISBN 10: 0883850230
ISBN 13: 9780883850237
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From Error- correcting Codes through Sphere Packings to Simple Groups.
Published by
The Mathematical Association of America, 1983
ISBN 10: 0883850230
ISBN 13: 9780883850237
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Condition: Very Good. 228pp, first printing, number 21 of Carus Mathematical Monographs, covers bright and clean, name and name stamp on half-title page otherwise unmarked. Seller Inventory # 4445147
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