Fleeting Footsteps: Tracing the Conception of Arithmetic and Algebra in Ancient China

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World Scientific, 2004 - Electronic books - 266 pages
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The HinduOCoArabic numeral system (1, 2, 3, ...) is one of mankind''sgreatest achievements and one of its most commonly usedinventions. How did it originate? Those who have written about thenumeral system have hypothesized that it originated in India; however, there is little evidence to support this claim.

This book provides considerable evidence to show that theHinduOCoArabic numeral system, despite its commonly accepted name, has its origins in the Chinese rod numeral system. This system waswidely used in China from antiquity till the 16th century. It was usedby officials, astronomers, traders and others to perform addition, subtraction, multiplication, division and other arithmetic operations, and also used by mathematicians to develop arithmetic andalgebra. Based on this system, numerous mathematical treatises werewritten."


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I feel that this book provides rich information about Ancient Chinese Mathematics, and should be recommended for those interested in learning more about topics such as counting rods and tangrams.
It is a excellent research material, about as I said, Ancient Chinese Mathematics. I'm really impressed to see such a useful book available for partial preview on Google Books, and I even made reference from the book for a recent Ancient Chinese Mathematics research assignment on counting rods. It was great help for my research! :)


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Table of Reference for Problems of Sun Zi Suanjing
Chronology of Dynasties
Supplementary Bibliography for Books in Chinese

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Page xiii - For these three have changed the whole face and state of things throughout the world; the first in literature, the second in warfare, the third in navigation; whence have followed innumerable changes; insomuch that no empire, no sect, no star seems to have exerted greater power and influence in human affairs than these mechanical discoveries.
Page xiv - ... Weierstrass' theory of limits and Georg Cantor's theory of sets of points are much more allied to Greek modes of thought than our modern arithmetic, our modern theory of positive and negative numbers, our modern graphical representation of the functional relation, or our modern idea of the algebraic variable. Elementary mathematics is one of the most characteristic creations of modern thought. It is characteristic of modern thought by virtue of the intimate way in which it correlates theory and...

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