Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang. Nankai tracts in mathematics 3.

Hsiang, Wu Yi:

ISBN 10: 9810246706 / ISBN 13: 9789810246709

Editore: River, World Scientific, 2001

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Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 51 HSI 9789810246709 Sprache: Englisch Gewicht in Gramm: 1150.

Codice articolo 2504386

Dati bibliografici

• Titolo: Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang. Nankai tracts in mathematics 3.
• Editore: River, World Scientific
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 9810246706
• ISBN 13: 9789810246709
• Rilegatura: Hardcover
• Peso: 1150 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

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Riassunto

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.