Liber Abaci and the Fibonacci sequence
Liber Abaci: numerales indoarábigos en Europa y sucesión de Fibonacci
- Date
- 1202 · confidence high
- Place
- Pisa, Italy
- Credited to
- Leonardo of Pisa (Fibonacci)
- People
- 👤 Leonardo de Pisa1170–1240
- Field
- Knowledge & symbols
What was discovered
Introduces the decimal place-value system with zero and Arabic calculation methods to Europe, with commercial applications; it contains the rabbit problem that generates the sequence 1, 1, 2, 3, 5, 8...
The sequence was already known in India (Pingala, Virahanka, Hemachandra) from the study of poetic metre.
What it led to
- European commercial arithmetic and accounting
- the golden ratio and growth phenomena
- recurrence theory
Built on
- Algebra and algorithm (al-Khwarizmi)c. 820
- mathematicians of Bugia (Algeria)
Made possible
- Double-entry bookkeeping1340
- Renaissance banking