COMBINATORICS ANALYSIS

Question 1

Jabir ibn Hayyam

Answer 1

combinatorics in CHEMISTRY - 8th cent.

Question 2

Al Farubi

Answer 2

combinatorics in SOUNDS & RHYTHM - 9th cent.

Question 3

Al Azdi

Answer 3

combinatorics in words

Question 4

where did al Azdi compile his results

Answer 4

Kitab al ayn

Question 5

where did al Farubi compile his results

Answer 5

Kitab al Musiqa al kabir (great book on music)

Question 6

Kitab al-taraif fil hisab (book of rare things in the art of calculation)

Answer 6

Abu Kamil enumerated all possible solutions of certain systems of eqns

Question 7

Bahir fil Hisaab

Answer 7

Al Samawal wrote it in systematic manner all 210 combinations of 10 unknowns taken 6 at a time

Question 8

when did the real research and study in combinatorics start?

Answer 8

Maghreb - 13th cent.

Question 9

Al Abd’ari

Answer 9

Fiqh al Hisab

Question 10

The first book to devout an entire chapter to combinatorics

Answer 10

Fiqh al Hisab - Al Abdaari

Question 11

where was abdaari from, whered he live and during whose reign

Answer 11

1. Denia - Andalusia - 13th cent.
2. lived in Almohad court in Marrakech
3. During the reign of Mohammed ibn Ya’kub al-Nasir

Question 12

What are the 3 texts known written by abdaari

Answer 12

1. magic squares

2.geometry

3. Science of calculation

Question 13

who continued al abdaari’s work?

Answer 13

Ibn al Banna

Question 14

what did ibn al banna derive?

Answer 14

standard multiplicative formula for finding combinations