Liber abaci

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Liber abaci

work by Fibonacci

Also known as: “Liber Abacci”

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Last updated

June 30, 2026

Quick Summary

The Liber abaci, written by Leonardo Pisano, also known as Fibonacci, in 1202, was a pivotal work in introducing Hindu-Arabic numerals and the decimal system to Europe. This book, meaning "Book of the Abacus," explained the principles of place value and demonstrated arithmetic operations using these new numerals.12

Fibonacci's travels in North Africa exposed him to different mathematical systems, which he compiled in Liber abaci. The book applied these methods to practical commercial problems like profit margins, barter, and interest calculations. It also explored speculative mathematics, including proportions and number theory.13

The Liber abaci is also famous for posing the rabbit problem, which led to the Fibonacci sequence. This sequence, where each number is the sum of the two preceding ones (1, 1, 2, 3, 5, 8...), has since been found in various natural phenomena.12

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Fibonacci
Life
When Fibonacci’s Liber abaci first appeared, Hindu-Arabic numerals were known to only a few European intellectuals through translations of the writings of the 9th-century Arab mathematician al-Khwārizmī. The first seven chapters deal with the notation, explaining the principle of place value, by which the position of a…
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When Fibonacci’s Liber abaci first appeared, Hindu-Arabic numerals were known to only a few European intellectuals through translations of the writings of the 9th-century Arab mathematician al-Khwārizmī. The first seven chapters deal with the notation, explaining the principle of place value, by which the position of a…
Read More

algebra
Commerce and abacists in the European Renaissance
…return to Italy, Fibonacci wrote Liber Abbaci (“Book of the Abacus”). Although it contained no specific innovations, and although it strictly followed the Islamic tradition of formulating and solving problems in purely rhetorical fashion, it was instrumental in communicating the Hindu-Arabic numerals to a wider audience in the Latin world.…
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…return to Italy, Fibonacci wrote Liber Abbaci (“Book of the Abacus”). Although it contained no specific innovations, and although it strictly followed the Islamic tradition of formulating and solving problems in purely rhetorical fashion, it was instrumental in communicating the Hindu-Arabic numerals to a wider audience in the Latin world.…
Read More

Fibonacci sequence
Fibonacci (Leonardo Pisano) in his Liber abaci (1202; “Book of the Abacus”), which also popularized Hindu-Arabic numerals and the decimal number system in Europe. Fibonacci introduced the sequence in the context of the problem of how many pairs of rabbits there would be in an enclosed area if every month…
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Fibonacci (Leonardo Pisano) in his Liber abaci (1202; “Book of the Abacus”), which also popularized Hindu-Arabic numerals and the decimal number system in Europe. Fibonacci introduced the sequence in the context of the problem of how many pairs of rabbits there would be in an enclosed area if every month…
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Roman numerals
…the publication of Fibonacci’s book Liber abaci (1202; “Book of the Abacus”), the first European work on Indian and Arabian mathematics, which introduced Hindu-Arabic numerals to Europe. The introduction of the printing press in the mid-15th century and the emergence of capitalism in the early 16th century led to Hindu-Arabic…
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…the publication of Fibonacci’s book Liber abaci (1202; “Book of the Abacus”), the first European work on Indian and Arabian mathematics, which introduced Hindu-Arabic numerals to Europe. The introduction of the printing press in the mid-15th century and the emergence of capitalism in the early 16th century led to Hindu-Arabic…
Read More

number game
Fibonacci numbers
…Fibonacci, published an influential treatise, Liber abaci. It contained the following recreational problem: “How many pairs of rabbits can be produced from a single pair in one year if it is assumed that every month each pair begets a new pair which from the second month becomes productive?” Straightforward calculation…
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…Fibonacci, published an influential treatise, Liber abaci. It contained the following recreational problem: “How many pairs of rabbits can be produced from a single pair in one year if it is assumed that every month each pair begets a new pair which from the second month becomes productive?” Straightforward calculation…
Read More