Sphere Packings And The Concept Of Density
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Sphere Packings And The Concept Of Density
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Author : Jörg M. Wills
language : en
Publisher:
Release Date : 1995
Sphere Packings And The Concept Of Density written by Jörg M. Wills and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
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.
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 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.
On The Density Of Sphere Packings In E
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Author : Wu Yi Hsiang
language : en
Publisher:
Release Date : 1991
On The Density Of Sphere Packings In E written by Wu Yi Hsiang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Combinatorial packing and covering categories.
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.
Calculations Of Hard Sphere Packings In Large Cylinders
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Author : Brian E. Clancy
language : en
Publisher:
Release Date : 1966
Calculations Of Hard Sphere Packings In Large Cylinders written by Brian E. Clancy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler S Conjecture
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Author : Wu-yi Hsiang
language : en
Publisher: World Scientific
Release Date : 2001-12-26
Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler S Conjecture written by Wu-yi Hsiang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-26 with Mathematics categories.
The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal “known density” of B/√18. In 1611, Johannes Kepler had already “conjectured” that B/√18 should be the optimal “density” of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that B/√18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of density. This important book provides a self-contained proof of both, using vector algebra and spherical geometry as the main techniques and in the tradition of classical geometry.
On The Density Of Sphere Packings In E Superscript 3 I
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Author : University of California, Berkeley. Center for Pure and Applied Mathematics
language : en
Publisher:
Release Date : 1991
On The Density Of Sphere Packings In E Superscript 3 I written by University of California, Berkeley. Center for Pure and Applied Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler S Conjecture
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Author : Wu Yi Hsiang
language : en
Publisher: World Scientific
Release Date : 2001
Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler S Conjecture written by Wu Yi Hsiang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal ?known density? of B/û18. In 1611, Johannes Kepler had already ?conjectured? that B/û18 should be the optimal ?density? of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that B/û18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of density. This important book provides a self-contained proof of both, using vector algebra and spherical geometry as the main techniques and in the tradition of classical geometry.