| 
|
QuoteRef: alkhMM_825
topics >
all references >
ThesaHelp:
references a-b
Topic:
history of mathematics
Group:
philosophy of mathematics
Topic:
thought is computational
Topic:
what is a number
Topic:
infinity and infinitesimal
Topic:
number as a progression for counting and 1-1 relations
Reference
Al-Khowarizmi, Mohammed ibn Musa, Algoritmi de numero Indorum ("Al-Khwarizmi Concerning the Hindu Art of Reckoning"). The Book of Algebra and Almucabola., 813-833 A.D., about 825 AD , pp. 66-157, in Karpinski, L.C. (translator) (ed.), Robert of Chester's Latin Translation of the Algebra of Al- Khowarizmi, New York, Macmillan, 1915. Google
Published before 1923
1 ;;Quote: the oldest mathematical text book contains first degree equations; Egyptian papyrus from about 1700 B.C.
11 ;;Quote: algebraic ideas appeared independently in Egypt, Babylon, China, Greece, and India
11+;;Quote: algebra is the natural expression of man's interest in the numerical thought
45 ;;Quote: Al-Khowarizmi introduction to calculation by completion and reduction; useful in inheritance, law-suits, trade, digging canals, etc.
67 ;;Quote: all things involve number and number is that which is composed of units
67+;;Quote: number proceeds from unity to ten to 30 to 100 and on to infinity
75 ;;Quote: Al-Khowarizmi's examples repeatedly occur in mathematical literature
75+;;Quote: the roots of a quadratic equation depend on b^2-4ac
95 ;;Quote: the product of 10-x and 10+x is 100-x^2
103 ;;Quote: example of solving a quadratic equation
123 ;;Quote: solving a proportional equation with one unknown
129 ;;Quote: another example of solving a quadratic equation
ThesaHelp: references a-b (396 items)
Topic: history of mathematics (57 items)
Group: philosophy of mathematics (11 topics, 330 quotes)
Topic: thought is computational (60 items)
Topic: what is a number (55 items)
Topic: infinity and infinitesimal (37 items)
Topic: number as a progression for counting and 1-1 relations (22 items)