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| '''''The Book of Squares''''', '''''(Liber Quadratorum)'''''<ref>Fibonacci, Leonardo Pisano . The Book of Squares (Liber Quadratorum). An annotated translation into modern English by L. E. Sigler. (1987) Orlando, FL: Academic Press. ISBN 978-0-12-643130-8</ref> in the original [[Latin]] is a book on [[algebra]] by [[Leonardo Fibonacci]], published in 1225. [[Brahmagupta–Fibonacci identity|Fibonacci's identity]], establishing that the set of all sums of two squares is closed under multiplication, appears in it. The book anticipated the works of later mathematicians like [[Pierre de Fermat|Fermat]] and [[Leonhard Euler|Euler]].<ref>Berlinghoff, William P. and Quadros Gouvêa (2004). ''Math through the ages: a gentle history for teachers and others''. MAA, p. 34. ISBN 0-88385-736-7</ref> The book examines several topics in [[number theory]],<ref>McClenon, R. B., "Leonardo of Pisa and his Liber Quadratorum", American Mathematical Monthly, Vol. 26, No. 1, January 1919, pp. 1–8.</ref> among them an inductive method for finding [[Pythagorean triple]]s based on the sequence of odd integers, and on the fact that the sum of the first <math>n</math> members of this sequence is <math>n^2</math>.
| | Hi there. My title is Sophia Meagher even though it is not the name on my beginning certification. To play lacross is the thing I love most of all. Kentucky is where I've always been residing. My day job is an invoicing officer but I've already utilized for an additional one.<br><br>Also visit my web site ... [http://hknews.classicmall.com.hk/groups/some-simple-tips-for-personal-development-progress/ clairvoyants] |
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| ==Notes==
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| {{reflist}}
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| ==External links==
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| *[http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=1296&bodyId=1433 Fibonacci and Square Numbers] at [http://mathdl.maa.org/convergence/1/ Convergence]
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| {{DEFAULTSORT:Book of Squares}}
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| [[Category:1225 books]]
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| [[Category:Mathematics books]]
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| [[Category:13th-century medieval Latin literature]]
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| {{mathematics-lit-stub}}
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Latest revision as of 00:06, 26 September 2014
Hi there. My title is Sophia Meagher even though it is not the name on my beginning certification. To play lacross is the thing I love most of all. Kentucky is where I've always been residing. My day job is an invoicing officer but I've already utilized for an additional one.
Also visit my web site ... clairvoyants