Lattice sums then and now / (Record no. 101647)

MARC details
000 -LEADER
fixed length control field 03348nam a2200469 i 4500
001 - CONTROL NUMBER
control field EBC1394585
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240120144548.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130326s2013 enkad ob 001 0 eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781107039902 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781107421141
Qualifying information (electronic bk.)
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC1394585
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL1394585
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10774095
035 ## - SYSTEM CONTROL NUMBER
System control number (CaONFJC)MIL538459
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)858903141
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA171.5
Item number .B67 2013
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.3/3
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Borwein, Jonathan M.
245 10 - TITLE STATEMENT
Title Lattice sums then and now /
Statement of responsibility, etc. J.M. Borwein, University of Newcastle, New South Wales [and four others].
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Cambridge :
Name of producer, publisher, distributor, manufacturer Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (390 pages) :
Other physical details illustrations (some color).
336 ## - CONTENT TYPE
Content type term text
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Encyclopedia of mathematics and its applications ;
Volume/sequential designation 150
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Machine generated contents note: Foreword; Preface; 1. Lattice sums; 2. Convergence of lattice sums and Madelung's constant; 3. Angular lattice sums; 4. Use of Dirichlet series with Complex characters; 5. Lattice sums and Ramanujan's modular equations; 6. Closed form evaluations of three- and four-dimensional sums; 7. Electron sums; 8. Madelung sums in higher dimensions; 9. 70 years of the Watson integrals; Appendix A. Tables; Bibliography; Index.
520 ## - SUMMARY, ETC.
Summary, etc. "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.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on print version record.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Lattice theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Number theory.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Borwein, Jonathan M.
Title Lattice sums then and now.
Place, publisher, and date of publication Cambridge : Cambridge University Press, 2013
Physical description xix, 368 pages
Series data for related item Encyclopedia of mathematics and its applications ; 150
International Standard Book Number 9781107039902
Record control number (DLC) 2013002993
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Encyclopedia of mathematics and its applications ;
Volume/sequential designation v. 150.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=1394585">https://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=1394585</a>
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