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Epoch: 13th Century

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Chronology

1200

• Chinese start to use a symbol for zero.

1202

• Fibonacci writes "Liber abaci" Ⓣ(Book of the abacus) with arithmetic and algebra he had learnt in Arab countries. Introduces the sequence of numbers now called the "Fibonacci sequence".

1207

• Bhaskara sets up an educational institution to study Bhaskaracharya's works.

1217

• Scot completes the translation from Arabic into Latin of al-Bitruji's Alpetragius the first work to present a non-Ptolemaic astronomical system.

1220

• Fibonacci writes "Practica geometriae" Ⓣ(Practical geometry)

1225

• Fibonacci writes "Liber quadratorum" (The Book of the Square), his most impressive work.
  • It is the first major European advance in number theory since the work of Diophantus a thousand years earlier.
• Jordanus Nemorarius writes on astronomy. In mathematics he uses letters in an early form of algebraic notation.

1230

• De Sacrobosco writes "Tractatus de Sphaera" a book on astronomy in four chapters, covering arithmetic, and calendar reform.

1247

• Jinshao writes Mathematical Treatise in Nine Sections containing simultaneous integer congruences and the Chinese Remainder Theorem.
  • It considers indeterminate equations, Horner's method, areas of geometrical figures and linear simultaneous equations.

1248

• Jinshao writes Mathematical Treatise in Nine Sections containing simultaneous integer congruences and the Chinese Remainder Theorem.
  • It considers indeterminate equations, Horner's method, areas of geometrical figures and linear simultaneous equations.
• Li Yeh writes a book which contains negative numbers, denoted by putting a diagonal stroke through the last digit.

1260

• Campanus of Novara
  • Writes a Latin edition of "Euclid's Elements" in 15 books, becoming the standard Euclid for 200 years.
  • Writes on astronomy.

1261

• Xian writes "Xiangjie Jiuzhang Suanfa" (A detailed analysis of the mathematical rules in the Nine Chapters) with the intention of explaining, and making better known, the work of Jia Xian.

1262

• Al-Maghribi lists precise astronomical observations made at the Maragha Observatory between 1262 and 1274.
• Yang Hui writes an elementary texts on multiplication, division, root-extraction, quadratic and simultaneous equations, series, computations of areas of a rectangle, a trapezium, a circle, and other figures.

1264

• Bacon proposes to write a book on science which would be of benefit of the Church.

1275

• Hui
  • Practical mathematical rules for surveying and Continuation of ancient mathematical methods
  • writes "Cheng Chu Tong Bian Ben Mo" (Alpha and omega of variations on multiplication and division).
  • It uses decimal fractions (in the modern form) and gives the first account of Pascal's triangle.

1283

• Shoujing promoted to be director of the Observatory in Beijing.

Table of Contents

1. Person: Magnus, Saint Albertus
2. Person: Al-Tusi (2), Nasir al-Din
3. Person: Jiushao, Qin
4. Person: Bacon, Roger
5. Person: Al-Maghribi, Muhyi l'din
6. Person: Campanus Of Novara
7. Person: Nemorarius, Jordanus
8. Person: Shoujing, Guo
9. Person: Llull, Ramon
10. Person: Ibn Tibbon, Jacob ben Machir
11. Person: Hui (2), Yang
12. Person: Al-Samarqandi, Shams al-Din
13. Person: Al-Banna
14. Person: Al-Farisi
15. Person: Shijie, Zhu
16. Person: Youqin, Zhao
17. Person: Gerson, Rabbi Levi Ben
18. Person: William Of Ockham
19. Person: Bradwardine, Thomas

Thank you to the contributors under CC BY-SA 4.0!

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