The Resource Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London
Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London
Resource Information
The item Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 "The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered"
 Language
 eng
 Extent
 xix, 368 pages
 Contents

 Lattice sums
 Convergence of lattice sums and Madelung's constant
 Angular lattice sums
 Use of Dirichlet series with complex characters
 Lattice sums and Ramanujan's modular equations
 Closed form evaluations of three and fourdimensional sums
 Electron sums
 Madelung sums in higher dimensions
 Seventy years of the Watson integrals
 Isbn
 9781107039902
 Label
 Lattice sums then and now
 Title
 Lattice sums then and now
 Statement of responsibility
 J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London
 Language
 eng
 Summary
 "The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered"
 Assigning source
 Provided by publisher
 Cataloging source
 DLC
 http://library.link/vocab/creatorName
 Borwein, Jonathan M
 Dewey number
 511.3/3
 Index
 index present
 LC call number
 QA171.5
 LC item number
 .B67 2013
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Encyclopedia of mathematics and its applications
 Series volume
 150
 http://library.link/vocab/subjectName

 Lattice theory
 Number theory
 MATHEMATICS / Number Theory
 Label
 Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 Lattice sums  Convergence of lattice sums and Madelung's constant  Angular lattice sums  Use of Dirichlet series with complex characters  Lattice sums and Ramanujan's modular equations  Closed form evaluations of three and fourdimensional sums  Electron sums  Madelung sums in higher dimensions  Seventy years of the Watson integrals
 Control code
 833145010
 Dimensions
 24 cm
 Extent
 xix, 368 pages
 Isbn
 9781107039902
 Lccn
 2013002993
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 System control number
 (OCoLC)833145010
 Label
 Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 Lattice sums  Convergence of lattice sums and Madelung's constant  Angular lattice sums  Use of Dirichlet series with complex characters  Lattice sums and Ramanujan's modular equations  Closed form evaluations of three and fourdimensional sums  Electron sums  Madelung sums in higher dimensions  Seventy years of the Watson integrals
 Control code
 833145010
 Dimensions
 24 cm
 Extent
 xix, 368 pages
 Isbn
 9781107039902
 Lccn
 2013002993
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 System control number
 (OCoLC)833145010
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/LatticesumsthenandnowJ.M.Borwein/1qwmKZVOvAo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/LatticesumsthenandnowJ.M.Borwein/1qwmKZVOvAo/">Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>