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The Book of Squares : ウィキペディア英語版 | The Book of Squares ''The Book of Squares'', ''(Liber Quadratorum)''〔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〕 in the original Latin is a book on algebra by Leonardo Fibonacci, published in 1225. 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 Fermat and Euler.〔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〕 The book examines several topics in number theory,〔McClenon, R. B., "Leonardo of Pisa and his Liber Quadratorum", American Mathematical Monthly, Vol. 26, No. 1, January 1919, pp. 1–8.〕 among them an inductive method for finding Pythagorean triples based on the sequence of odd integers, the fact that the sum of the first odd integers is , and the solution to the congruum problem. ==Notes==
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