[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [A History of the Kerala School of Hindu Astronomy (in Perspective)](https://indike.org/pramana/ins.science.sarma-1972) › c8.s7.3 # A History of the Kerala School of Hindu Astronomy (in Perspective) c8.s7.3 A History of the Kerala School of Hindu Astronomy (in Perspective) c8.s7.3 - **Language:** English ### [c8.s7.3](https://indike.org/pramana/ins.science.sarma-1972.c8.s7.3) The \*Kuṭṭakāra-gaṇita\*, which is a complex type of calculation involving the Rule of three, Indeterminate equations and Continued fractions, has been developed by Kerala mathematicians to a high degree. It enabled them to solve various problems which require the application of higher algebra according to modern working. \*Śaṅkaranārāyaṇa\* (\*c.\* 825-900) quotes in his commentary on the \*Lahgubhāskarīya\* (\*op. cit.\*, pp. 95-97) a short disquisition on the subject from \*Govindakṛti\*, a lost work of Govindasvāmin, while the later works like \*Yuktibhāṣā\* (16th cent.) give full accounts of the processes involved.¹ Nīlakaṇṭha Somayājī (1444-1545) has made significant contributions including logical proofs and demonstrations to geometrical theorems, a formula for the sum of an infinite, geometrically progressing convergent series, and the rationale for the formula for the sum of a geometrical progression. He has also offered geometrical demonstrations for the sum of an arithmetic progression, the sum of triangular numbers and the sums of squares and cubes of natural numbers.² - [Previous: c8.s7.2](https://indike.org/pramana/ins.science.sarma-1972.c8.s7.2) - [Next: c8.s7.4](https://indike.org/pramana/ins.science.sarma-1972.c8.s7.4) - [Up: c8.s7](https://indike.org/pramana/ins.science.sarma-1972.c8.s7) ## Linked texts (2) - [Govindakṛti](https://indike.org/pramana/in.astro.kerala.tantra.govindakrti) — Govindasvāmin (astronomer), Sanskrit - [Laghubhāskarīya](https://indike.org/pramana/in.astro.siddhanta.early.laghubhaskariya) — Bhāskara I, Sanskrit --- Source: [https://indike.org/pramana/ins.science.sarma-1972.c8.s7.3](https://indike.org/pramana/ins.science.sarma-1972.c8.s7.3) · Pramāṇa