Investigating the Interplay of Mathematics and Philosophy in Ancient India

The Nyaya school of philosophy, founded by Gautama, placed great emphasis on the role of mathematics in understanding the structure and workings of the universe.

Aryabhata, a renowned mathematician and astronomer, is widely recognized for his groundbreaking work in developing the concept of zero and the decimal system.

The Sulba Sutras is an ancient Indian text that focuses on geometrical constructions, particularly those related to altars and sacrifices.

Brahmagupta, a renowned mathematician and astronomer, is credited with developing the concept of the sine function and making significant contributions to the field of trigonometry.

The Bakhshali Manuscript is an ancient Indian text that contains a collection of problems and solutions related to arithmetic, including topics such as fractions, ratios, and progressions.

Bhaskara II, a renowned mathematician and astronomer, is credited with developing the concept of the Fibonacci sequence and making significant contributions to number theory.

The Lilavati is an ancient Indian text that focuses on arithmetic, including topics such as fractions, ratios, and progressions.

Bhaskara II, a renowned mathematician and astronomer, is credited with developing the concept of the Pascal's triangle and making significant contributions to combinatorics.

The Vedanga Jyotisha is an ancient Indian text that focuses on trigonometry, including topics such as the sine function and the calculation of planetary positions.

Brahmagupta, a renowned mathematician and astronomer, is credited with developing the concept of the quadratic equation and making significant contributions to algebra.

The Aryabhatiya is an ancient Indian text that focuses on astronomy, including topics such as planetary motion, eclipses, and the calculation of time.

Brahmagupta, a renowned mathematician and astronomer, is credited with developing the concept of the negative number and making significant contributions to number theory.

The Panchasiddhantika is an ancient Indian text that focuses on astronomy, including topics such as planetary motion, eclipses, and the calculation of time.

Brahmagupta, a renowned mathematician and astronomer, is credited with developing the concept of the Brahmagupta's formula and making significant contributions to geometry.

The Surya Siddhanta is an ancient Indian text that focuses on astronomy, including topics such as planetary motion, eclipses, and the calculation of time.