Indian Mathematics: Engaging with the World from Ancient to - download pdf or read online

By Senior Lecturer in Economic and Social Linguistics George Gheverghese Joseph

ISBN-10: 1786340607

ISBN-13: 9781786340603

Indian arithmetic offers a special perception into the background of arithmetic inside a ancient worldwide context. It builds on study into the relationship among arithmetic and the world-wide development of economics and expertise. Joseph attracts out parallel advancements in different cultures and punctiliously examines the transmission of mathematical principles throughout geographical and cultural borders. available to people who be interested within the international historical past of mathematical rules, for the historians, philosophers and sociologists of arithmetic, it's a e-book to not be neglected.

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Additional info for Indian Mathematics: Engaging with the World from Ancient to Modern Times

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164). page 26 June 28, 2016 18:52 Indian Mathematics - 9in x 6in b2419-ch02 Indian Mathematics in World Mathematics INDIA page 27 27 THE WORLD –3000 Harappan Period (Weights and Measures) –1500 –1000 Vedic Period (Sulbasutras) –500 0 Jain, Buddhist and the Siddhanta Period Egyptian Mathematics (Ahmes Papyrus) and Mesopotamian Mathematics (Plimpton Tablet) Greek Mathematics of Pythagoras, Euclid (The Elements), Archimedes, Appollonius (Conics), Diophantus (Arithmetica). Chinese Mathematics in Chiu Chang, Chou Pei, Sun Tsu’s Suan Ching and Liu Hui’s commentary on Chiu Chang 500 1000 1500 The ‘Classical’ Period of Aryabhata I, Bhaskara I, Brahmagupta, Mahavira, Bhaskara II Medieval Indian Mathematics from Kerala of Madhava, Nilakantha and Jysthedeva and Other Sources Islamic Mathematics of al-Khwarizmi, Thabit ibn Qurra, Omar Khayyam, Nasir al-Din al-Tusi and al-Kashi.

In terms of computation, the representation of zero by a blank space posed no problem for, unlike the Babylonian system, the blank was itself a numeral. The third positional system was the Mayan, essentially a vigesimal (base 20) system incorporating a symbol for zero which was recognised as a numeral in its own right. It had, however, a serious irregularity since its ‘place’ units were 1, 20, 18×20, 18×202 , 18×203 , and so on. This anomaly reduces its efficiency in arithmetical calculation. For example, one of the most useful facilities of our number system is the ability to multiply a given number by 10 by adding a zero to it.

The historians of Indian mathematics working within India have generally tended to overlook the social and global context in which their subject arose. Instead they concentrate on advances page 10 June 28, 2016 18:52 Indian Mathematics - 9in x 6in b2419-ch01 Rewriting the History of Indian Mathematics page 11 11 made in ‘real’ mathematics. Often this has taken the form of writing about specific results in mathematics using modern terminology and notation. They argue that such results were known to Indians long before they were known in the West.

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Indian Mathematics: Engaging with the World from Ancient to Modern Times by Senior Lecturer in Economic and Social Linguistics George Gheverghese Joseph


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