LEADER 00000cam a2200589Ia 4500 
001    ocm52613288  
003    OCoLC 
005    20160527040638.4 
006    m     o  d         
007    cr cn||||||||| 
008    030715s2001    si a    ob    001 0 eng d 
019    475900343 
020    981238491X|q(electronic book) 
020    9789812384911|q(electronic book) 
035    (OCoLC)52613288|z(OCoLC)475900343 
040    N$T|beng|epn|cN$T|dYDXCP|dOCLCG|dOCLCQ|dIDEBK|dOCLCQ
       |dMERUC|dOCLCQ|dOCLCF|dOCLCO|dNLGGC|dOCLCQ|dEBLCP|dNRU
       |dDEBSZ|dOCLCQ 
049    RIDW 
050  4 QA166.7|b.H85 2001eb 
072  7 MAT|x036000|2bisacsh 
082 04 511/.6|221 
090    QA166.7|b.H85 2001eb 
100 1  Hsiang, Wu Yi,|d1937-|0https://id.loc.gov/authorities/
       names/n80137813 
245 10 Least action principle of crystal formation of dense 
       packing type and Kepler's conjecture /|cWu-Yi Hsiang. 
264  1 Singapore ;|aRiver Edge, NJ :|bWorld Scientific,|c2001. 
300    1 online resource (xxi, 402 pages) :|billustrations. 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc 
347    text file|2rdaft 
490 1  Nankai tracts in mathematics ;|vv. 3 
504    Includes bibliographical references (pages 397-399) and 
       index. 
505 0  Foreword; Acknowledgment; List of Symbols; Chapter 1 
       Introduction; Chapter 2 The Basics of Euclidean and 
       Spherical Geometries and a New Proof of the Problem of 
       Thirteen Spheres; Chapter 3 Circle Packings and Sphere 
       Packings; Chapter 4 Geometry of Local Cells and Specific 
       Volume Estimation Techniques for Local Cells; Chapter 5 
       Estimates of Total Buckling Height; Chapter 6 The Proof of
       the Dodecahedron Conjecture; Chapter 7 Geometry of Type I 
       Configurations and Local Extensions; Chapter 8 The Proof 
       of Main Theorem I; Chapter 9 Retrospects and Prospects; 
       References; Index. 
520    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 p/v18. In 1611, Johannes Kepler
       had already "conjectured" that p/v18 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 p/v18 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 densi. 
588 0  Print version record. 
590    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America 
650  0 Kepler's conjecture.|0https://id.loc.gov/authorities/
       subjects/sh2001008320 
650  0 Sphere packings.|0https://id.loc.gov/authorities/subjects/
       sh2001008315 
650  0 Crystallography, Mathematical.|0https://id.loc.gov/
       authorities/subjects/sh85034501 
650  7 Kepler's conjecture.|2fast|0https://id.worldcat.org/fast/
       986844 
650  7 Sphere packings.|2fast|0https://id.worldcat.org/fast/
       1129672 
650  7 Crystallography, Mathematical.|2fast|0https://
       id.worldcat.org/fast/884665 
655  4 Electronic books. 
776 08 |iPrint version:|aHsiang, Wu Yi, 1937-|tLeast action 
       principle of crystal formation of dense packing type and 
       Kepler's conjecture.|dSingapore ; River Edge, NJ : World 
       Scientific, 2001|z9810246706|w(DLC)  2001045504
       |w(OCoLC)47623942 
830  0 Nankai tracts in mathematics ;|0https://id.loc.gov/
       authorities/names/n2001000055|vv. 3. 
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=83665|zOnline eBook. Access restricted to 
       current Rider University students, faculty, and staff. 
856 42 |3Instructions for reading/downloading this eBook|uhttp://
       guides.rider.edu/ebooks/ebsco 
901    MARCIVE 20231220 
948    |d20160615|cEBSCO|tebscoebooksacademic|lridw 
994    92|bRID