Download An Introduction to the Early Development of Mathematics by Michael K. J. Goodman PDF

By Michael K. J. Goodman

ISBN-10: 1119104971

ISBN-13: 9781119104971

An easy-to-read presentation of the early historical past of arithmetic

Engaging and obtainable, An creation to the Early improvement of arithmetic provides an enthralling creation to the historical past of old arithmetic in early civilizations for a nontechnical viewers. Written with useful purposes in quite a few parts, the booklet makes use of the ancient context of arithmetic as a pedagogical software to help readers operating via mathematical and old topics.

The ebook is split into sections on major early civilizations together with Egypt, Babylonia, China, Greece, India, and the Islamic global. starting every one bankruptcy with a common historic review of the civilized zone, the writer highlights the civilization’s mathematical recommendations, quantity representations, accomplishments, demanding situations, and contributions to the mathematical international. completely class-tested, An advent to the Early improvement of arithmetic features:

  • Challenging workouts that lead readers to a deeper figuring out of mathematics
  • Numerous suitable examples and challenge units with distinct causes of the methods and options on the finish of every chapter
  • Additional references on particular issues and key phrases from background, archeology, faith, tradition, and mathematics
  • Examples of useful functions with step by step reasons of the mathematical innovations and equations throughout the lens of early mathematical problems
  • A spouse web site that comes with extra exercises

An creation to the Early improvement of arithmetic is a terrific textbook for undergraduate classes at the historical past of arithmetic and a complement for straightforward and secondary schooling majors. The ebook is usually a suitable reference for pro and alternate audiences attracted to the heritage of mathematics.

Michael ok. J. Goodman is Adjunct arithmetic teacher at Westchester group university, the place he teaches classes within the background of arithmetic, modern arithmetic, and algebra. he's additionally the landlord and operator of the educational Miracle, LLC, which supplies educational tutoring and try guidance for either university and highschool students.

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Additional resources for An Introduction to the Early Development of Mathematics

Sample text

Think about looking at the familiar letters you are looking at right now, compared to looking at documents from America’s colonial period. The old‐ fashioned colonial lettering is different—we can read it, but it’s different. Some S’s in our Declaration of Independence look like extra long F’s, for example. Well, over the centuries, something similar happened with Egyptian symbols. In one particular case, the thing that was being drawn even changed: the fish that stood for 100,000 was replaced with a tadpole.

For 35 × 10, 3 heel bones (30) and 5 vertical strokes (5) are replaced by 3 coils of rope (300) and 5 heel bones (50). For 35 × 100, 3 heel bones (30) and 5 vertical strokes (5) are replaced by 3 lotus flowers (3000) and 5 coils of rope (500). We don’t know why the Egyptians were so fond of unit fractions, but they were, and the preserved records we have show that they went to great length to express other fractions in terms of unit fractions. Before we look at unit fractions, let’s take a moment to describe the preserved records of Egyptian math.

The conditions of the problem tell us that 5s 10d and that 2s d 100 d 2d 3d 4d equation for total 1 3s 9d 7 equation for ratio We can exploit these relationships. 5 3 55 6 this is just over 9 5 55 5 So the shares are: , and multiples of added to . 3 6 3 From top to bottom, this is 115 3 175 6 20 65 6 5 3 1 3 38 and 29 and 1 6 (exactly 20) 5 10 and 1 and 6 2 3 The Egyptians of course would have found a different way to express the fraction 5 1 1 in the fourth man’s share, using unit fractions. His share is 10 .

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An Introduction to the Early Development of Mathematics by Michael K. J. Goodman

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