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''Liber Abaci'' (1202, also spelled as ''Liber Abbaci'') is a historic book on arithmetic by Leonardo of Pisa, known later by his nickname Fibonacci. ''Liber Abaci'' was among the first Western books to describe Hindu–Arabic numbers traditionally described as "Arabic Numerals". By addressing the applications of both commercial tradesmen and mathematicians, it contributed to convincing the public of the superiority of the new numerals. The title of ''Liber Abaci'' means "The Book of Calculation". Although it has also been translated as "The Book of the Abacus", writes that this is an error: the intent of the book is to describe methods of doing calculations without aid of an abacus, and as confirms, for centuries after its publication the algorismists (followers of the style of calculation demonstrated in ''Liber Abaci'') remained in conflict with the abacists (traditionalists who continued to use the abacus in conjunction with Roman numerals). The second version of ''Liber Abaci'' was dedicated to Michael Scot in 1227 CE. No versions of the original 1202 CE manuscript have been found. ==Summary of sections== The first section introduces the Hindu–Arabic numeral system, including methods for converting between different representation systems. The second section presents examples from commerce, such as conversions of currency and measurements, and calculations of profit and interest. The third section discusses a number of mathematical problems; for instance, it includes (ch. II.12) the Chinese remainder theorem, perfect numbers and Mersenne primes as well as formulas for arithmetic series and for square pyramidal numbers. Another 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 fourth section derives approximations, both numerical and geometrical, of irrational numbers such as square roots. The book also includes proofs in Euclidean geometry. Fibonacci's method of solving algebraic equations shows the influence of the early 10th-century Egyptian mathematician Abū Kāmil Shujāʿ ibn Aslam.〔O'Connor, John J.; Robertson, Edmund F., "(Abu Kamil Shuja ibn Aslam )", MacTutor History of Mathematics archive.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Liber Abaci」の詳細全文を読む スポンサード リンク
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