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• catalog abstract ""The third edition of this 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 previous edition, the third edition describes the connections of these questions with other areas of mathematics and science such as coding theory, digital communication, number theory, group theory, analog-to-digital conversion and data compression, and n-dimensional crystallography. Of special interest in the third edition is a report on some recent developments in the field and a supplementary bibliography for 1988-1998 containing over 800 items."--BOOK JACKET.".
• catalog contributor b11039929.
• catalog contributor b11039930.
• catalog contributor b11039931.
• catalog created "c1999.".
• catalog date "1999".
• catalog date "c1999.".
• catalog dateCopyrighted "c1999.".
• catalog description ""The third edition of this 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 previous edition, the third edition describes the connections of these questions with other areas of mathematics and science such as coding theory, digital communication, number theory, group theory, analog-to-digital conversion and data compression, and n-dimensional crystallography. Of special interest in the third edition is a report on some recent developments in the field and a supplementary bibliography for 1988-1998 containing over 800 items."--BOOK JACKET.".
• catalog description "Automorphism group of the 26-diemnsional even unimodular lorentzian lattice / J.H. Conway -- Leech roots and vinberg groups / J.H. Conway and N.J.A. Sloane -- Monster group and its 196884-dimensional space / J.H. Conway.".
• catalog description "Includes bibliographical references (p. [574]-679) and index.".
• catalog description "Sphere packings and kissing numbers / J.H. Conway and N.J.A. Sloane -- Coverings, lattices and quantizers / J.H. Conway and N.J.A. Sloane -- Codes, designs and groups / J.H. Conway and N.J.A. Sloane -- Certain important lattices and their properties / J.H. Conway and N.J.A. Sloane -- Sphere packing and error-correcting codes / J. Leech and N.J.A. Sloane -- Laminated lattices / J.H. Conway and N.J.A. Sloane -- Futher connections between codes and lattices / N.J.A. Sloane -- Algebraic constructions for lattices / J.H. Conway and N.J.A. Sloane -- Bounds for codes and sphere packings / N.J.A. Sloane -- Three lectures on exceptional groups / J.H. Conway -- golay codes and the mathieu groups / J.H. Conway -- Characterization of the leech lattice / J.H. Conway -- Bounds on kissing numbers / A.M. Odlyzko and N.J.A. Sloane -- Uniqueness of certain spherical codes / E. Bannai and N.J.A. Sloane --".
• catalog description "on the classification of integral quadratic forms / J.H. Conway and N.J.A. Sloane -- Enumeration of unimodular lattices / J.H. Conway and N.J.A. Sloane -- 24-dimensional odd unimodular lattices / R.E. Borcherds -- Even unimodular 24-dimensional lattices / B.B. Venkov -- Enumeration of extremal self-dual lattices / J.H. Conway, A.M. Odlyzko and N.J.A. Sloane -- Finding the closet lattice point / J.H. Conway and N.J.A. Sloane -- Voronoi cells of lattices and quantization errors / J.H. Conway and N.J.A. Sloane -- Bound for the covering radius of the leech lattice / S.P. Norton -- Covering radius of the leech lattice / J.H. Conway, R.A. Parker and N.J.A. Sloane -- Twenty-three constructions for the leech lattice / J.H. Conway and N.J.A Sloane -- Cellular structure of the leech lattice / R.E. Borcherds, J.H. Conway and L. Queen -- Lorentzian forms for the leech lattice / J.H. Conway and N.J.A. Sloane --".
• catalog extent "lxxiv, 703 p. :".
• catalog identifier "0387985859 (hardcover : alk. paper)".
• catalog isPartOf "Grundlehren der mathematischen Wissenschaften ; 290".
• catalog issued "1999".
• catalog issued "c1999.".
• catalog language "eng".
• catalog publisher "New York : Springer,".
• catalog subject "511/.6 21".
• catalog subject "Combinatorial packing and covering.".
• catalog subject "Finite groups.".
• catalog subject "Lattice theory.".
• catalog subject "QA166.7 .C66 1998".
• catalog subject "Sphere packings.".
• catalog subject "Sphere.".
• catalog tableOfContents "Automorphism group of the 26-diemnsional even unimodular lorentzian lattice / J.H. Conway -- Leech roots and vinberg groups / J.H. Conway and N.J.A. Sloane -- Monster group and its 196884-dimensional space / J.H. Conway.".
• catalog tableOfContents "Sphere packings and kissing numbers / J.H. Conway and N.J.A. Sloane -- Coverings, lattices and quantizers / J.H. Conway and N.J.A. Sloane -- Codes, designs and groups / J.H. Conway and N.J.A. Sloane -- Certain important lattices and their properties / J.H. Conway and N.J.A. Sloane -- Sphere packing and error-correcting codes / J. Leech and N.J.A. Sloane -- Laminated lattices / J.H. Conway and N.J.A. Sloane -- Futher connections between codes and lattices / N.J.A. Sloane -- Algebraic constructions for lattices / J.H. Conway and N.J.A. Sloane -- Bounds for codes and sphere packings / N.J.A. Sloane -- Three lectures on exceptional groups / J.H. Conway -- golay codes and the mathieu groups / J.H. Conway -- Characterization of the leech lattice / J.H. Conway -- Bounds on kissing numbers / A.M. Odlyzko and N.J.A. Sloane -- Uniqueness of certain spherical codes / E. Bannai and N.J.A. Sloane --".
• catalog tableOfContents "on the classification of integral quadratic forms / J.H. Conway and N.J.A. Sloane -- Enumeration of unimodular lattices / J.H. Conway and N.J.A. Sloane -- 24-dimensional odd unimodular lattices / R.E. Borcherds -- Even unimodular 24-dimensional lattices / B.B. Venkov -- Enumeration of extremal self-dual lattices / J.H. Conway, A.M. Odlyzko and N.J.A. Sloane -- Finding the closet lattice point / J.H. Conway and N.J.A. Sloane -- Voronoi cells of lattices and quantization errors / J.H. Conway and N.J.A. Sloane -- Bound for the covering radius of the leech lattice / S.P. Norton -- Covering radius of the leech lattice / J.H. Conway, R.A. Parker and N.J.A. Sloane -- Twenty-three constructions for the leech lattice / J.H. Conway and N.J.A Sloane -- Cellular structure of the leech lattice / R.E. Borcherds, J.H. Conway and L. Queen -- Lorentzian forms for the leech lattice / J.H. Conway and N.J.A. Sloane --".
• catalog title "Sphere packings, lattices, and groups / J.H. Conway, N.J.A. Sloane ; with additional contributions by E. Bannai ... [et al.].".
• catalog type "text".