The River of Accounting and Commercial Mathematics
Which notations and methods moved fastest because trade needed them?
From Fibonacci's arithmetic to algorithmic trading — 800 years of money mathematics.
Read the current
What changed between the cities?
- 1
1202–1300
scholars and schools
PisaBolognaFibonacci — Liber Abaci
Fibonacci wrote Liber Abaci in Pisa in 1202. Networks of abbaco schools in Tuscan and Lombard cities spread its methods and transformed European accounting.
Liber Abaci (1202, Pisa), Hindu-Arabic numerals, and abbaco schoolsPlace this segment on the map - 2
1494–1700
translation
VeniceLondonPacioli — Double-Entry Bookkeeping
Luca Pacioli’s Summa was printed by Paganino de Paganini in Venice in 1494. Its eleven chapters on double-entry bookkeeping became a model for modern accounting.
Summa de Arithmetica, Geometria, Proportioni et Proportionalita (1494, Venice) and its bookkeeping chaptersPlace this segment on the map - 3
1666–1900
scholars and schools
LondonParisLondon — Insurance and Annuity Mathematics
After the Great Fire of London, life insurance and annuity mathematics developed through the work of Halley, de Moivre, and others.
Halley’s mortality table and de Moivre’s annuity mathematicsPlace this segment on the map - 4
1973–2024
scholars and schools
ChicagoNew YorkBlack-Scholes and Algorithmic Trading
Black, Scholes, and Merton published their option-pricing work in 1973; after 1987, Wall Street became a center of algorithmic trading, putting calculus to work in markets.
The Black-Scholes PDE (1973, Chicago/MIT) and high-frequency trading algorithms in New YorkPlace this segment on the map
How to read the lines
Each line is an editorial route through problems, texts, and practices. It does not imply one book moving in a straight line, a sole invention, or identical adoption everywhere.