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Computer Algebra in Scientific Computing - CASC 2000 (Paperback, 2000 ed.)
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Computer Algebra in Scientific Computing - CASC 2000 (Paperback, 2000 ed.)
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The vast area of Scientific Computing, which is concerned with the
computer- aided simulation of various processes in engineering,
natural, economical, or social sciences, now enjoys rapid progress
owing to the development of new efficient symbolic, numeric, and
symbolic/numeric algorithms. There has already been for a long time
a worldwide recognition of the fact that the mathematical term
algorithm takes its origin from the Latin word algo- ritmi, which
is in turn a Latin transliteration of the Arab name "AI Khoresmi"
of the Khoresmian mathematician Moukhammad Khoresmi, who lived in
the Khoresm khanate during the years 780 - 850. The Khoresm khanate
took sig- nificant parts of the territories of present-day
TUrkmenistan and Uzbekistan. Such towns of the Khoresm khanate as
Bukhara and Marakanda (the present- day Samarkand) were the centers
of mathematical science and astronomy. The great Khoresmian
mathematician M. Khoresmi introduced the Indian decimal positional
system into everyday's life; this system is based on using the
famil- iar digits 1,2,3,4,5,6,7,8,9,0. M. Khoresmi had presented
the arithmetic in the decimal positional calculus (prior to him,
the Indian positional system was the subject only for jokes and
witty disputes). Khoresmi's Book of Addition and Subtraction by
Indian Method (Arithmetic) differs little from present-day arith-
metic. This book was translated into Latin in 1150; the last
reprint was produced in Rome in 1957.
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