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 an enthralling advent to the background of historical arithmetic in early civilizations for a nontechnical viewers. Written with functional purposes in numerous parts, the e-book makes use of the historic context of arithmetic as a pedagogical device to aid 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 normal old evaluate of the civilized sector, the writer highlights the civilization’s mathematical strategies, quantity representations, accomplishments, demanding situations, and contributions to the mathematical global. completely class-tested, An advent to the Early improvement of arithmetic features:

  • Challenging routines that lead readers to a deeper realizing of mathematics
  • Numerous proper examples and challenge units with targeted reasons of the methods and options on the finish of every chapter
  • Additional references on particular issues and key words from background, archeology, faith, tradition, and mathematics
  • Examples of functional functions with step by step factors of the mathematical techniques and equations in the course of the lens of early mathematical problems
  • A spouse web site that incorporates extra exercises

An creation to the Early improvement of arithmetic is a fantastic textbook for undergraduate classes at the heritage of arithmetic and a complement for user-friendly and secondary schooling majors. The booklet can be a suitable reference for pro and alternate audiences attracted to the heritage of mathematics.

Michael ok. J. Goodman is Adjunct arithmetic teacher at Westchester neighborhood collage, the place he teaches classes within the historical past of arithmetic, modern arithmetic, and algebra. he's additionally the landlord and operator of the training Miracle, LLC, which gives educational tutoring and attempt coaching for either university and highschool students.

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Extra info for An Introduction to the Early Development of Mathematics

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4 The Egyptian technique was to make a guess, and obviously guessing any ­multiple of 4 simplifies the problem by eliminating the fraction. If you guess 4, 15 and substitute, you get 4 + 1 = 5, and then the little formula gives you 4 12, 5 which is the answer. 23 PAPYRUS PROBLEMS Another familiar problem asks us to share 3 loaves of bread equally among 5 men. 3 We would just say each man gets of a loaf of bread and be done with it, but the Egyptians didn’t work so directly. 5 1 They would split one loaf into 5 parts, and give each man .

One papyrus, called the Reisner papyrus, has practical problems. It looks like a business record for a building site. It lists employees and contains calculations for how many men are needed to do an excavation and what volume of dirt has to be removed. The Rhind papyrus includes fanciful problems. In one, a man owns 7 houses and each house has 7 cats, and each cat catches 7 mice, and each mouse has 7 bunches of wheat, and each bunch has 7 grains. The student must total these things. 7 houses 7 7 7 7 7 7 7 7 49 cats 7 343 mice 7 7 2401 bunches 7 7 7 16, 807 grains of wheat Another simple problem from the Rhind papyrus can be solved easily by the false position technique: a quantity and one fourth of the quantity equals 15; what is the quantity?

An Introduction to the Early Development of Mathematics, First Edition. Michael K. J. Goodman. © 2016 John Wiley & Sons, Inc. Published 2016 by John Wiley & Sons, Inc. 38 ANCIENT CHINESE MATHEMATICS Among the few books that we know by title and content is Nine Chapters on the Mathematical Art. It contains (unsurprisingly) nine chapters: the first chapter is mostly about surveying, and a typical problem is to calculate the area of a rectangular field. The second chapter is mostly about rice, and a typical problem is to calculate a fair price.

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