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Download e-book for iPad: 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 background of arithmetic

Engaging and obtainable, An advent to the Early improvement of arithmetic provides an enthralling creation to the heritage of historic arithmetic in early civilizations for a nontechnical viewers. Written with sensible functions in numerous components, the e-book makes use of the ancient context of arithmetic as a pedagogical software to aid readers operating via mathematical and ancient topics.

The ebook is split into sections on major early civilizations together with Egypt, Babylonia, China, Greece, India, and the Islamic global. starting each one bankruptcy with a normal ancient assessment of the civilized zone, the writer highlights the civilization’s mathematical innovations, quantity representations, accomplishments, demanding situations, and contributions to the mathematical international. 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 distinct motives of the strategies and recommendations on the finish of every chapter
  • Additional references on particular issues and key terms from heritage, archeology, faith, tradition, and mathematics
  • Examples of useful purposes with step by step causes of the mathematical innovations and equations during the lens of early mathematical problems
  • A better half site that incorporates extra exercises

An advent to the Early improvement of arithmetic is an amazing textbook for undergraduate classes at the heritage of arithmetic and a complement for trouble-free and secondary schooling majors. The booklet is usually a suitable reference for pro and exchange audiences drawn to the background of mathematics.

Michael okay. J. Goodman is Adjunct arithmetic teacher at Westchester group 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 educational Miracle, LLC, which supplies educational tutoring and try out coaching for either university and highschool students.

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

An easy-to-read presentation of the early heritage of arithmetic attractive and available, An creation to the Early improvement of arithmetic offers an enthralling advent to the historical past of historic arithmetic in early civilizations for a nontechnical viewers. Written with useful purposes in numerous parts, the booklet makes use of the ancient context of arithmetic as a pedagogical instrument to aid readers operating via mathematical and ancient subject matters.

Additional info for An Introduction to the Early Development of Mathematics

Sample text

The second, a straight line system, looks too crude to be very useful. But both are easily capable of expressing the very large numbers the Chinese needed to run their empire. Large numbers were required simply because of the size of the country and the number of people and the scale of civic projects. Chinese bureaucrats had to deal accurately with massive harvests, taxes, and military enterprises. The practical needs of administering a city or an empire spurred mathematical thought. The traditional Chinese numerals we study today were standardized during the Han dynasty, perhaps in 200 bc.

Find the dimensions of a rectangle whose area (in square units) is two times its perimeter (in units of length). Find three distinct solutions. 16 Find the dimensions of a rectangle whose area (in square units) is three times its perimeter (in units of length). Find five distinct solutions. 1 Start with the numbers 1 and 67 This represents that 1 × 67 = 67 1 67 Double both numbers and write the results underneath. This represents that 2 × 67 = 134 1 2 67 134 32 ANCIENT EGYPTIAN MATHEMATICS Continue to double both columns until the number in the first column is greater than 42 (because the problem is 67 × 42) 1 2 4 8 16 32 64 67 134 268 536 1072 2144 4288 Find numbers in the first column that add up to 42.

This is the correct answer. 5 22,186 divided by 257. Start by doubling 1 and 257 until the number in the second column is larger than 22,186. 1 2 4 8 16 32 64 128 257 514 1028 2056 4112 8224 16448 32986 Subtract the biggest number in column 2 that is less than 22,186 from 22,186 22186 16448 5738 33 Answers to Problems Since 16,448 was opposite 64, 64 is part of our answer. Now we subtract the biggest number in column 2 that is less than 5738 5738 4112 1626 Since 4112 was opposite 16, 16 is part of our answer.

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


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