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A Course of Pure Mathematics by G.H. Hardy

By G.H. Hardy

This publication is admittedly solid. it is prompt for those who are looking to comprehend fundamentals of Calculus. every little thing will get validated. For Self-taught. i'd relatively suggest to rewrite the e-book. it sort of feels to be scanned.

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Example text

There is no doubt that Zu incorporated the method for approximating 7T into his mathematical text, Zhui shu [x] (Method 01 mathematical composition), wh ich is not extant. There remain now but quotations in the official histories. For example, the Sui shu [y] (Standard history olthe Sui dynasty) [387-388] relates: m In ancient mathematies. lhe ratio of the cireumfercnee 10 thc diameter was lakcn to be 3 to I but this was only a rough estimate. Though various cfforts had becn madc by Liu Xin [zl.

AI-Kashi (or AI-Kashani), Ghiyath al-din Jamshid Mas'ud. In Dictionary 0/ scientific biography, Vol. 7, pp. 255-262. New York: Seribner's. 34 HM 13 LAM LAY-YONG AND ANG TIAN-SE 340 GLOSSARY a :kI1. b :flilll':t. im d :ldt jf: * e ){ f g Ei h i 71 j k fi71 1 01 1z. 71 -t-1z. G -g 1Z. p -t -t71 -t 1Z. q ~ r Jt s t ~J u ~ v -t w * x ti* y ~4S z :kI1 'tk aa *{jj ab i=J $ijJi<\. < ae X a1' \1j'$ ag ~$ ah :t! :t J;f- [L1II an '[Hf, TI} ae if ttNi up S iIIJ aq 7f ft ~ f} ur *4S au av *~ as f'ttif. HJI.

NOTES I. hang suanshu is printed in [Qian 1963, 81-258]. C. D. 200; see [Needham 1959, 24-25]. 2. There is a fairly large literature on Liu's method written in Chinese, of which one of the more upto-date is [Bai Shangshu 1983, 35-53]. In English, Liu's method is found in [Mikami 1913, 47-49], which contains some misprints, and, more brieHy, in [He Shaogeng 1983,90-98]. In our translation, we have tried to give as elose an interpretation of the original text [Qian 1963, 103-106] as possible. 3. However, the ancient Greeks were aware that the area of a cirele to the square of its radius is a constant ratio [Euelid, Bk.

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