Download e-book for kindle: An Introduction to the Early Development of Mathematics by Michael K. J. Goodman

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 advent to the Early improvement of arithmetic provides an enthralling creation to the heritage of historical arithmetic in early civilizations for a nontechnical viewers. Written with sensible functions in numerous parts, the e-book makes use of the historic context of arithmetic as a pedagogical instrument to help readers operating via mathematical and historic topics.

The e-book 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 basic ancient evaluate of the civilized zone, the writer highlights the civilization’s mathematical recommendations, 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 knowing of mathematics
  • Numerous proper examples and challenge units with special reasons of the techniques and recommendations on the finish of every chapter
  • Additional references on particular themes and key terms from background, archeology, faith, tradition, and mathematics
  • Examples of useful functions with step by step reasons of the mathematical strategies and equations during 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 trouble-free and secondary schooling majors. The publication is additionally a suitable reference for pro and exchange audiences attracted to the historical past of mathematics.

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

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Extra resources for An Introduction to the Early Development of Mathematics

Sample text

2 2 7 4 7 is 1 1 2 14 3 1 1 to a sum of unit fractions, you would start with because is the 7 3 3 3 largest unit fraction less than . 7 To convert 3 7 1 1 3 14 is 1 42 2 1 1 to a sum of unit fractions, you would start with because is the 7 4 4 2 largest unit fraction that is less than . 7 To convert 2 7 is 1 4 1 28 Among the useful and easy ways to convert any fraction to the sum of unit f­ ractions are the following three methods. 1 can be used when the denom­ inator can be factored as a string of 2s and no other factors.

The traditional Chinese numerals we study today were standardized during the Han dynasty, perhaps in 200 bc. They differ somewhat from Shang dynasty numerals (perhaps from 1100 bc) but are clearly related to and derived from them. The key principle is that two characters together can make what we would call a digit. Where we say 653, they have a symbol for 6 and a symbol for hundred, to tell us 600, and they have a symbol for 5 and a symbol for 10, to tell us 50, and they have a symbol for 3 (which doesn’t need a companion symbol since the 3 is not being multiplied by a power of 10).

You won’t have much trouble guessing which museums own the Moscow papyrus or the Berlin papyrus; another spectacular one is the Rhind papyrus, named after the Scottish scholar Henry Rhind who bought it in the 19th century. Yes, it’s in the British Museum now. We’ll look at some papyrus ­problems later in this chapter. The papyrus problems were generally written with hieratic number symbols, which don’t at all resemble the hieroglyphic symbols. Many students think the hieroglyphic symbols are cute or quaint.

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

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