Takshashila University, established in the 6th century BCE, is widely regarded as the oldest mathematical school in India.

Aryabhata, who lived in the 5th century CE, is often referred to as the 'Father of Indian Mathematics' for his significant contributions to astronomy, mathematics, and trigonometry.

Nalanda University, a renowned center of learning in ancient India, is believed to have played a crucial role in the development of the decimal system.

Brahmagupta, an influential mathematician of the 7th century CE, is credited with introducing the concept of zero and its use in mathematical operations.

The Pythagorean Theorem, also known as Pythagoras's Theorem, is a fundamental theorem in geometry that establishes the relationship between the sides of a right triangle.

Aryabhata, in his treatise 'Aryabhatiya,' introduced the concept of the sine function and developed methods for calculating trigonometric ratios.

Vikramashila University, a prominent center of learning in ancient India, was renowned for its contributions to algebra, astronomy, and other mathematical fields.

Brahmagupta, in his work 'Brahmasphutasiddhanta,' introduced the concept of the quadratic equation and developed methods for solving it.

Somadeva University, a renowned center of learning in ancient India, was known for its contributions to number theory and other mathematical fields.

Bhaskara I, in his work 'Lilavati,' introduced the concept of the Fibonacci sequence and explored its properties.

Takshashila University, a renowned center of learning in ancient India, was known for its contributions to geometry, mensuration, and other mathematical fields.

Bhaskara I, in his work 'Lilavati,' introduced the concept of the Pascal's triangle and explored its properties.

Somadeva University, a renowned center of learning in ancient India, was known for its contributions to calculus and other mathematical fields.

Bhaskara I, in his work 'Lilavati,' introduced the concept of the Rolle's theorem and explored its properties.

Somadeva University, a renowned center of learning in ancient India, was known for its contributions to probability theory and other mathematical fields.