In reading Liber Abaci, it is helpful to understand Fibonacci's notation for rational numbers, a notation that is intermediate in form between the Egyptian fractions commonly used until that time and the vulgar fractions still in use today. The book also includes Euclidean geometric proofs, and a study of simultaneous linear equations following Diophantus, which Fibonacci most likely learned from Persian mathematician al-Karaji (Ore 1948). The fourth section derives approximations, both numerical and geometrical, of irrational numbers such as square roots. II.12) the Chinese remainder theorem, perfect numbers and Mersenne primes as well as formulas for arithmetic series and for square pyramidal numbers.Īnother example in this chapter, describing the growth of a population of rabbits, was the origin of the Fibonacci sequence for which the author is most famous today. The third section discusses a number of mathematical problems for instance, it includes (ch. The second section presents examples from commerce, such as conversions of currency and measurements, and calculations of profit and interest. The first section introduces the Arabic numeral system, including lattice multiplication and methods for converting between different repesentation systems. Liber Abaci was not the first Western book to describe Arabic numerals, the first being by Pope Silvester II in 999, but by addressing tradesmen and academics, it began to convince the public of the superiority of the new numerals. In this work, Fibonacci introduced to Europe the Arabic numerals, a major element of our decimal system, which he had learned by studying with Arabs while living in North Africa with his father, Guilielmo Bonaccio, who wished for him to become a merchant.
Its title has two common translations, "The Book of the Abacus" or "The Book of Calculation". " Liber Abaci" (1202, also spelled as Liber Abbaci) is an historic book on arithmetic by Leonardo of Pisa, known later by his nickname Fibonacci.
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