The Book of Squares, (Liber Quadratorum) 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. The book examines several topics in number theory, among them an inductive method for finding Pythagorean triples based on the sequence of odd integers, and on the fact that the sum of the first members of this sequence is .
Famous quotes containing the words book and/or squares:
“Some hard and dry book in a dead language, which you have found it impossible to read at home, but for which you still have a lingering regard, is the best to carry with you on a journey.”
—Henry David Thoreau (1817–1862)
“An afternoon of nurses and rumours;
The provinces of his body revolted,
The squares of his mind were empty,
Silence invaded the suburbs,”
—W.H. (Wystan Hugh)