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 lead 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 neighboring exactly 196,560 other ...
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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 lead 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 neighboring 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 some 10,000+ pages--and these connections, along with the fascinating history and the proof of the simplicity of one of those ""sporatic"" simple groups, are presented at an undergraduate mathematical level.
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Add this copy of From Error-Correcting Codes Through Sphere Packings to to cart. £38.13, good condition, Sold by Fables Books rated 5.0 out of 5 stars, ships from Goshen, IN, UNITED STATES, published 1983 by Mathematical Assn of Amer.
Publisher:
Mathematical Association of America (MAA)
Published:
1983
Language:
English
Alibris ID:
18567477206
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Seller's Description:
Good. A former college library book with all the expected stamps stickers and markings. Some shelf storage or usage wear present. The binding is tight and all pages are present. No dustjacket as pictured. The pages appear unmarked. Pictures available upon request. Individually inspected by Scott. Thanks for supporting an independent bookseller!
Add this copy of From Error-Correcting Codes Through Sphere Packings to to cart. £34.87, very good condition, Sold by ThriftBooks-Baltimore rated 4.0 out of 5 stars, ships from Halethorpe, MD, UNITED STATES, published 1984 by Mathematical Assn of Amer.
Add this copy of From Error-Correcting Codes Through Sphere Packings to to cart. £65.27, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1983 by Mathematical Assn of Amer.
Add this copy of From Error-Correcting Codes Through Sphere Packings to to cart. £80.88, new condition, Sold by Just one more Chapter rated 4.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 1983 by Mathematical Assn of Amer.
