Show related essays## Are there fundamental differences between western mathematics and tranditional chinese mathematics

Similarly the ancient Chinese mathematics books have a vast collection of practical problems, giving the problems first and followed by their solutions. In this modern age Chinese still use the same pattern for teaching purposes. However, contrary to the Chinese mechanical algorithm, western mathematics focuses on the proof and derivation so as to develop new concepts in the field of mathematics (Boyer and Merzbach 2011, p.The basic purpose of Chinese mathematics is to utilize the mathematical concepts in order to get benefit from them rather than establishing new theories in mathematics. Therefore Chinese mathematics does not contain the essence of logic and deductive reasoning when it comes to mathematics. They do not use many methods for solving questions which limit their mathematical development. Furthermore, Chinese used their own language to describe the numbers until recent times and this resulted in slow progress of their mathematical understanding. However, their contribution to early age mathematics cannot be neglected. In fact Westerns also learned algebra from Chinese as they were initially very efficient at finding the unknown values in an equation. They have done early algebraic calculations in a significantly better way and therefore it would not be wrong to say that initially they were good at mathematics as compared to their western counterparts.Analytic geometry was developed by Rene Descartes with the combination of geometry and algebra. This was later utilized by Newton and Gottfried Wilhelm Leibniz so as to develop Calculus (differentiation and integration). All this resulted in the overall development of human culture and science (Restivo 2001, p.Records indicate that mathematical activity in China was initiated by Yu The Great and the tortoise of the Lo River. Yu was a grand emperor of his time who got a divine gift in the shape of magic square. This was basically the Lu Shu drawing imprinted on a tortoise shell. Around thirty four years ago during the period of Shang, the Chinese mathematicians used to carry out mathematical calculations with the help of tally and code symbols engraved over oracle bones. Sometime later they developed counting boards made of rods for the purpose of computations. The ideographic script is also found to have great influence over the computing methods of Chinese mathematicians. The most basic Chinese mathematical manuscripts before the third century BC

References

Carl B. Boyer, Uta C. Merzbach (2011) A History of Mathematics. John Wiley & Sons.

Comm. Pure Appl. Math; page 1-7

Eleanor Robson, Jacqueline Stedall (2008) The Oxford Handbook of the History of Mathematics

EP Wigner (1960) The Unreasonable Effectiveness of Mathematics in the Natural Sciences.

Mathematics. Oxford University Press.

Morris Kline (1964) Mathematics in Western Culture. Oxford University Press; page 24-60

Sal Restivo (2001) Mathematics in Society and History: Sociological Inquiries.

Springer; page 23-25

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