[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Indian Mathematics](https://indike.org/pramana/ins.science.kaye-1915) › c7.28 # Indian Mathematics c7.28 Indian Mathematics c7.28 - **Language:** English ### [c7.28](https://indike.org/pramana/ins.science.kaye-1915.c7.28) The complete integral solution is given by a combination (\*a\*) and (\*b\*) of which the former only is given by Brahmagupta, while both are given by Bhāskara (five centuries later). The latter designates (\*a\*) the ‘method by composition’ and (\*b\*) the ‘cyclic method.’ These solutions are alone sufficient to give to the Indian works an important place in the history of mathematics. Of the ‘cyclic method’ (\*i.e.\*, the combination of (\*a\*) and (\*b\*)) HANKEL says, “It is beyond all praise: it is certainly the finest thing achieved in the theory of numbers before Lagrange.” He attributed its invention to the Indian mathematicians, but the opinions of the best modern authorities (\*e.g.\*, TANNERY, CANTOR, HEATH) are rather in favour of the hypothesis of ultimate Greek origin. - [Previous: c7.27](https://indike.org/pramana/ins.science.kaye-1915.c7.27) - [Next: c7.29](https://indike.org/pramana/ins.science.kaye-1915.c7.29) - [Up: c7](https://indike.org/pramana/ins.science.kaye-1915.c7) --- Source: [https://indike.org/pramana/ins.science.kaye-1915.c7.28](https://indike.org/pramana/ins.science.kaye-1915.c7.28) · Pramāṇa