Download Computing: A Historical and Technical Perspective by Yoshihide Igarashi PDF

By Yoshihide Igarashi

ISBN-10: 1482227428

ISBN-13: 9781482227420

Exploring an enormous array of issues regarding computation, Computing: A ancient and Technical Perspective covers the historic and technical beginning of historic and modern day computing. The publication begins with the earliest references to counting by means of people, introduces quite a few quantity platforms, and discusses arithmetic in early civilizations. It publications readers all through the most recent advances in laptop technological know-how, similar to the layout and research of laptop algorithms.

Through historic debts, short technical motives, and examples, the booklet solutions a bunch of questions, including:

  • Why do people count number in a different way from the best way present digital desktops do?
  • Why are there 24 hours in an afternoon, 60 mins in an hour, etc.?
  • Who invented numbers, while have been they invented, and why are there diverse kinds?
  • How do mystery writings and cryptography date again to historic civilizations?

Innumerable participants from many cultures have contributed their abilities and creativity to formulate what has develop into our mathematical and computing history. through bringing jointly the old and technical facets of computing, this publication permits readers to realize a deep appreciation of the lengthy evolutionary strategies of the sphere built over hundreds of thousands of years. compatible as a complement in undergraduate classes, it offers a self-contained historic reference resource for an individual drawn to this significant and evolving field.

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Rhind (1833–1863), purchased it in 1858 in Egypt [8]. It was named the Rhind Papyrus after him. It was copied by a scribe named Ahmes around 1650 BC. In the first paragraph of the p ­ apyrus, Ahmes presents that it is copied from an ancient copy made d ­ uring the 12th dynasty of Upper and Lower Egypt (c. 1985–1795 BC) [3, 8]. The first part of the Rhind Papyrus contains a list of the fractions 2/n for odd n from 3 to 101. The following are examples in the list: 2/3 = 1/2 + 1/6 2/5 = 1/3 + 1/28 2/7 = 1/4 + 1/28 2/9 = 1/6 + 1/18 2/15 = 1/10 + 1/30 2/101 = 1/101 + 1/202 + 1/303 + 1/606 The second and third parts of the Rhind Papyrus consist of geometry problems, and 84 problems with the solutions, respectively.

3. With this, any rational number can be placed in its exact (measured) position on the real number line (see also Chapter 13). 285714285714285714…). , 3 + 2/7 or 23/7). The use of decimal fraction notation became common in the 16th century (see more in Chapter 10). Since a repeating decimal can be written algebraically as a fraction, it follows that any repeating decimal must be a rational number. d1d2 dmabcdabcdabcd , where the digits i and d ­represent the integer part, and the nonrepeating portion of x and abcd is the repeating pattern.

1 Finding Primes by the Sieve of Eratosthenes 11 21 31 41 51 61 71 81 91 2 12 22 32 42 52 62 72 82 92 3 13 23 33 43 53 63 73 83 93 4 14 24 34 44 54 64 74 84 94 5 15 25 35 45 55 65 75 85 95 6 16 26 36 46 56 66 76 86 96 7 17 27 37 47 57 67 77 87 97 8 18 28 38 48 58 68 78 88 98 9 10 19 20 29 30 39 40 49 50 59 60 69 70 79 80 89 90 99 100 The sieve of Eratosthenes has two basic steps: 1. List all the natural numbers from 1 to n within which the primes of interest must lie. 2. Then, starting at 2, eliminate all multiples within the list.

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