Basics of Development of Integration and Series in India
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Keywords:
Gaita Kaumudi, Nrayaa Pata, Sama-gh¯ata-sankalita, Yukti-bhasa, Jyesthadeva, Arithmetic ProgressionAbstract
Most of the Indian Mathematicians form the period of Aryabha?a knows the arithmetic progression (AP) and sum of terms in AP. The present paper discusses the idea of Sama-gh\={a}ta-sa\.{n}kalita in Yukti-bh\={a}\d{s}a and Varasa\.{n}kalita in Ga\d{n}ita Kaumud\={i}. These ideas create the basic development of Integration and infinite series India. This work leads to evaluate integration as the summation of series.
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