history-page9 - Europe • Eves “Many of the computing...

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Computation General I mean mainly addition, subtraction, multiplication, and division. (Not algebraic problems.) Abacus Slide Rule Mechanical devices post slide rule belong in History of Computer Science class. Egyptians Example of Multiplication through doubling and Peasant Multiplication Example of Division with and without fractions. Babylonians Boyer: “It is clear that the fundamental arithmetic operations were handled by the Babylo- nians in a manner not unlike that which would be employed today, and with comparable facility.” Square Root Procedure Romans Illustrate multiplying Roman numerals abacus-like. Really nothing to memorize. No scratch paper necessary. Arabians Do multiplication example. (DiFerent orientations in diFerent books.)
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Unformatted text preview: Europe • Eves: “Many of the computing patterns used today in elementary arithmetic, such as those for performing long multiplications and divisions, were developed as late as the ±fteenth century.” ◦ Media: Pencil-and-paper arithmetic requires paper? ⋆ Eves: “[O]ur common machine-made pulp paper is little more than a hundred years old.” ⋆ Eves: “The older rag paper was made by hand, was consequently expensive and scarce, and even at that, was not introduced into Europe until the twelfth century.” ⋆ Papyrus = Matted reeds dried and smoothed. ⋆ Parchment = skin of sheep ⋆ Vellum = skin of calves ◦ When were Arabic numerals adopted? ◦ When were decimal fractions adopted?...
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This note was uploaded on 12/29/2011 for the course MATH 378 taught by Professor Wen during the Fall '10 term at SUNY Stony Brook.

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