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The mathematics of harmony = from Eu...

Stakhov, A. P.

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The mathematics of harmony = from Euclid to contemporary mathematics and computer science /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The mathematics of harmony/ Alexey Stakhov ; assisted by Scott Olsen.
其他題名:	from Euclid to contemporary mathematics and computer science /
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.).
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.
標題:	Fibonacci numbers. -
電子資源:	https://ebookcentral.proquest.com/lib/ndhu/detail.action?docID=1679567Click to View

The mathematics of harmony = 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.). - 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. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

Subjects--Topical Terms:

589041
Fibonacci numbers.
Index Terms--Genre/Form:

542853
Electronic books.

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

Dewey Class. No.: 512.7/2

The mathematics of harmony = from Euclid to contemporary mathematics and computer science /
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