Download A History of Algorithms: From the Pebble to the Microchip by Jean-Luc Chabert, C. Weeks, Evelyne Barbin, J. Borowczyk, M. PDF

By Jean-Luc Chabert, C. Weeks, Evelyne Barbin, J. Borowczyk, M. Guillemot, A. Michel-Pajus, A. Djebbar, Jean-Claude Martzloff

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The improvement of computing has reawakened curiosity in algorithms. usually overlooked by means of historians and smooth scientists, algorithmic techniques were instrumental within the improvement of primary rules: perform ended in concept simply up to the wrong way around. the aim of this e-book is to provide a historic historical past to modern algorithmic perform.

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Extra resources for A History of Algorithms: From the Pebble to the Microchip

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41 b-42a. From the French translation of the Arabic by A. Djebbar. You need, in [problems) like this to carry out a number of multiplications [equal) to the number of the square [of the number of digits) of the number [you wish to square) [... ). To summarise, we can say: take away from the number of multiplications half of what remains of the square of the number of places of [the number) raised to a square, after having taken [from it) half the number of [the digits of] that number. [For example], if the number of places of the number is ten, the number of multiplications will be 100.

This gives the product 29137122. To find what this is, add the last two signs of the given numbers, the one al and the other al also, which together are @. We say then that the sign of the last figure of the product will be @. Once this is established, all the signs are known on account of their continuous order. Therefore, 2913@7

Definition II Any given number is called the unit and has the sign @. 8 Numbers Written as Decimals 39 Explanation In the number three hundred and sixty four, for example, we call the three hundred and sixty four units, and write the number 364@. Similarly for other cases. Definition III The tenth part of a unit is called a Prime, and has the sign

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