Samiksha Jaiswal (Editor)

The Book of Squares

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Originally published
  
1225

Author
  
Fibonacci

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Number theory books
  
History of the Theory of Numbers, Disquisitiones Arithmeticae, Arithmetic of P‑adic Modular, The Problem of Catalan, Casimir Force - Casimir O

The Book of Squares, (Liber Quadratorum in the original Latin) is a book on algebra by Leonardo Fibonacci, published in 1225. It was dedicated to Frederick II, Holy Roman Emperor. 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, the fact that the sum of the first n odd integers is n 2 , and the solution to the congruum problem.

References

The Book of Squares Wikipedia