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The mathematics of harmony[electronic resource] :from Euclid to contemporary mathematics and computer science /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.7/2
書名/作者:	The mathematics of harmony : from Euclid to contemporary mathematics and computer science // Alexey Stakhov ; assisted by Scott Olsen.
作者:	Stakhov, A. P.
其他作者:	Olsen, Scott Anthony.
出版者:	Singapore ; : World Scientific,, c2009.
面頁冊數:	xlix, 694 p. : : ill. (some col.) ;; 26 cm.
標題:	Fibonacci numbers.
標題:	Golden section.
標題:	Mathematics - History.
標題:	Computer science.
ISBN:	981277582X (hardcover : alk. paper)
ISBN:	9789812775825 (hardcover : alk. paper)
ISBN:	9789812775832 (e-book)
書目註:	Includes bibliographical references and index.
內容註:	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.
電子資源:	An electronic book accessible through the World Wide Web; click to view

The mathematics of harmony[electronic resource] :from Euclid to contemporary mathematics and computer science /
Stakhov, A. P.

The mathematics of harmonyfrom Euclid to contemporary mathematics and computer science /[electronic resource] :Alexey Stakhov ; assisted by Scott Olsen. - Singapore ;World Scientific,c2009. - xlix, 694 p. :ill. (some col.) ;26 cm. - K & E series on knots and everything ;v. 22. - K & E series on knots and everything ;v. 22..

Includes bibliographical references and index.

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.

Electronic reproduction.
Palo Alto, Calif. :
ebrary,
2011.

Available via World Wide Web.

ISBN: 981277582X (hardcover : alk. paper)

LCCN: 2009021159Subjects--Topical Terms:

382310
Fibonacci numbers.
Index Terms--Genre/Form:

336502
Electronic books.

LC Class. No.: QA246.5 / .S73 2009eb

Dewey Class. No.: 512.7/2

The mathematics of harmony[electronic resource] :from Euclid to contemporary mathematics and computer science /
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