“The Book of Squares”的意思、由来-开放百科全书

词条

The Book of Squares

释义

Notes
External links

The Book of Squares, (Liber Quadratorum^[1] in the original Latin) is a book on algebra by Leonardo Fibonacci, published in 1225. It was dedicated to Frederick II, Holy Roman Emperor.^[2] 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.^[3] The book examines several topics in number theory,^[4] 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

1. ^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}}
2. ^{{Cite web|url=https://archive.org/stream/jstor-2974039/2974039_djvu.txt|title=Full text of "Leonardo of Pisa and his Liber Quadratorum"|website=archive.org|access-date=2016-10-04}}
3. ^Berlinghoff, William P. and Fernando Q. Gouvêa (2004). Math through the ages: a gentle history for teachers and others. MAA, p. 34. {{ISBN|0-88385-736-7}}
4. ^McClenon, R. B., "Leonardo of Pisa and his Liber Quadratorum", American Mathematical Monthly, Vol. 26, No. 1, January 1919, pp. 1–8.

External links

[https://web.archive.org/web/20070930014601/http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=1296&bodyId=1433 Fibonacci and Square Numbers] at

4 : 1225 books|13th-century Latin books|Mathematics books|Squares in number theory

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