TY - BOOK AU - Stakhov,A.P. AU - Olsen,Scott Anthony TI - The mathematics of harmony: from Euclid to contemporary mathematics and computer science T2 - K & E series on knots and everything SN - 981277582X (hardcover : alk. paper) AV - QA 246.5 S73.2009 PY - 2009///, ©2009 CY - Singapore, Hackensack, NJ PB - World Scientific KW - Fibonacci numbers KW - Fibonacci, Números de KW - Golden section KW - Sección áurea KW - Mathematics KW - History KW - Matemáticas KW - Historia KW - Computer science KW - Computación N1 - Incluye referencias bibliográficas e índice; Three "key" problems of mathematics on the stage of its origin -- Classical golden mean, Fibonacci numbers, and platonic solids -- The golden section -- Fibonacci and Lucas numbers -- Regular polyhedrons -- Mathematics of harmony -- Generalizations of Fibonacci numbers and the golden mean -- Hyperbolic Fibonacci and Lucas functions -- Fibonacci and golden matrices -- Application in computer science -- Algorithmic measurement theory -- Fibonacci computers -- Codes of the golden proportion -- Ternary mirror-symmetrical arithmetic -- A new coding theory based on a matrix approach -- Dirac's principle of mathematical beauty and the mathematics of harmony : clarifying the origins and development of mathematics -- Appendix : Museum of harmony and the golden section ER -