Sphere Packings V
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Sphere Packings V
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Author : Samuel L. P. Ferguson
language : en
Publisher:
Release Date : 1997
Sphere Packings V written by Samuel L. P. Ferguson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Sphere packings categories.
Sphere Packings
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Author : Chuanming Zong
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-08-19
Sphere Packings written by Chuanming Zong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-19 with Mathematics categories.
Sphere packings is one of the most fascinating and challenging subjects in mathematics. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with other subjects found. This book gives a full account of this fascinating subject, especially its local aspects, discrete aspects, and its proof methods. The book includes both classical and contemporary results and provides a full treatment of the subject.
Dense Sphere Packings
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Author : Thomas Callister Hales
language : en
Publisher: Cambridge University Press
Release Date : 2012-09-06
Dense Sphere Packings written by Thomas Callister Hales and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-06 with Mathematics categories.
The definitive account of the recent computer solution of the oldest problem in discrete geometry.
Dense Sphere Packings
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Author : Thomas Hales
language : en
Publisher: Cambridge University Press
Release Date : 2012-09-06
Dense Sphere Packings written by Thomas Hales and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-06 with Mathematics categories.
The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a broad mathematical audience. The book also presents solutions to other previously unresolved conjectures in discrete geometry, including the strong dodecahedral conjecture on the smallest surface area of a Voronoi cell in a sphere packing. This book is also currently being used as a blueprint for a large-scale formal proof project, which aims to check every logical inference of the proof of the Kepler conjecture by computer. This is an indispensable resource for those who want to be brought up to date with research on the Kepler conjecture.
Sphere Packings Lattices And Groups
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Author : J.H. Conway
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Sphere Packings Lattices And Groups written by J.H. Conway and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The second edition of this timely, definitive, and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. Like the first edition, the second edition describes the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analog-to-digital conversion and data compression, n-dimensional crystallography, and dual theory and superstring theory in physics. Results as of 1992 have been added to the text, and the extensive bibliography - itself a contribution to the field - is supplemented with approximately 450 new entries.
Sphere Packings Lattices And Groups
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Author : John Horton Conway
language : en
Publisher:
Release Date : 1998
Sphere Packings Lattices And Groups written by John Horton Conway and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Combinatorial packing and covering categories.
Sphere Packings
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Author : Chuanming Zong
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-20
Sphere Packings written by Chuanming Zong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-20 with Mathematics categories.
Sphere packings is one of the most fascinating and challenging subjects in mathematics. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with other subjects found. This book gives a full account of this fascinating subject, especially its local aspects, discrete aspects, and its proof methods. The book includes both classical and contemporary results and provides a full treatment of the subject.
Sphere Packings Lattices And Groups
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Author : J.H. Conway
language : en
Publisher: Springer
Release Date : 1993
Sphere Packings Lattices And Groups written by J.H. Conway and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computers categories.
Corrections and developments since the first edition (1988) have been added. Among the topics covered: sphere packings and kissing numbers; coverings, lattices and quantizers; codes, designs and groups; important lattices and their properties; error correcting codes; laminated lattices; further connections between codes and lattices; algebraic constructions for lattices; and bounds for codes and sphere packings. Contains an 84-page bibliography, including 350 items new to this edition. Annotation copyright by Book News, Inc., Portland, OR
Sphere Packings Lattices And Groups
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Author : John Conway
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Sphere Packings Lattices And Groups written by John Conway and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The third edition of this definitive and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items.
From Error Correcting Codes Through Sphere Packings To Simple Groups
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Author : Thomas M. Thompson
language : en
Publisher: American Mathematical Soc.
Release Date : 1983-12-31
From Error Correcting Codes Through Sphere Packings To Simple Groups written by Thomas M. Thompson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-12-31 with categories.
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.