Summary of Sections
The first section introduces the Arabic numeral system, including lattice multiplication and 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.
Read more about this topic: Liber Abaci
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