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

By Michael K. J. Goodman

An easy-to-read presentation of the early heritage of arithmetic

Engaging and available, An creation to the Early improvement of arithmetic provides a charming creation to the historical past of historical arithmetic in early civilizations for a nontechnical viewers. Written with useful functions in numerous components, the ebook makes use of the historic context of arithmetic as a pedagogical software to aid readers operating via mathematical and historic topics.

The ebook is split into sections on major early civilizations together with Egypt, Babylonia, China, Greece, India, and the Islamic international. starting each one bankruptcy with a normal ancient review of the civilized sector, the writer highlights the civilization’s mathematical strategies, 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 realizing of mathematics
  • Numerous proper examples and challenge units with precise reasons of the procedures and ideas on the finish of every chapter
  • Additional references on particular issues and key terms from heritage, archeology, faith, tradition, and mathematics
  • Examples of sensible functions with step by step causes of the mathematical thoughts and equations in the course of the lens of early mathematical problems
  • A significant other site that comes with extra exercises

An advent to the Early improvement of arithmetic is a terrific textbook for undergraduate classes at the background of arithmetic and a complement for easy and secondary schooling majors. The booklet is usually a suitable reference for pro and alternate audiences drawn to the background of mathematics.

Michael ok. J. Goodman is Adjunct arithmetic teacher at Westchester group collage, the place he teaches classes within the heritage 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 collage and highschool students.

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Extra info for An Introduction to the Early Development of Mathematics

Sample text

A fair historical question is whether the Chinese accomplished what they accomplished before or after other civilizations did, and whether they did it in isolation or were influenced by other cultures. The lack of documents obviously limits our ability to answer this. But it seems that goods were exchanged for thousands of years via that network of trading routes across central Asia collectively known as the Silk Road, and just as goods made their way east and west, ideas similarly traveled. Certainly the math needed to do buying and selling between merchants with different coinages would quickly diffuse, as would methods of calculating distance and time.

For example, 100 hekats of wheat with impurity 10 are to be exchanged for a volume of wheat of with impurity 45, and we are asked: what is a fair exchange? To begin, don’t worry about hekats. It’s a unit of measurement. You could think 100 pounds or 100 tons instead of 100 hekats. But we do have to interpret the phrases impurity 10 and impurity 45. One straightforward interpretation is that impurity 10 means the 100 hekats include 90 hekats of pure wheat and 10 hekats of something else, probably something worthless, some filler or waste.

Our 3‐digit number is expressed in 5 Chinese calligraphy characters. 1 The number 653 represented in Chinese calligraphy. 40 ANCIENT CHINESE MATHEMATICS Now, remarkably, this system can be used by western students after only a little practice, and it is recommended that the student imagine himself or herself as an apprentice scribe in an ancient Chinese school. Practicing making the symbols, and practicing making simple arithmetical computations with the symbols, will give the student an appreciation of both the usefulness of the system and the hard work required to be a successful scribe.

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