Brahmagupta, an Indian mathematician and astronomer, is widely recognized for introducing the concept of zero as a number and incorporating it into the decimal system.

The Brahmasphuta Siddhanta, written by Brahmagupta in the 7th century, includes a section that describes the Fibonacci sequence, although it does not explicitly name it as such.

Aryabhata, a renowned Indian mathematician and astronomer, made significant contributions to trigonometry, including the development of trigonometric functions and identities, as well as the concept of sine.

The Aryabhatiya, written by Aryabhata in the 5th century, includes a comprehensive explanation of the decimal system, including the use of place value notation and the concept of zero.

Brahmagupta, in his treatise Brahmasphuta Siddhanta, introduced the concept of negative numbers and provided rules for performing arithmetic operations involving negative numbers.

The Lilavati, written by Bhaskara II in the 12th century, includes a comprehensive description of the Pascal's triangle, known as Meru Prastara in the text.

Bhaskara II, in his treatise Lilavati, provided a geometric method for solving quadratic equations, known as the chakravala method.

The Brahmasphuta Siddhanta includes a comprehensive treatment of indeterminate equations, including methods for solving linear and quadratic indeterminate equations.

Bhaskara II, in his treatise Lilavati, provided a geometric method for solving cubic equations, known as the sulba method.

The Brahmasphuta Siddhanta includes a discussion on the concept of infinity, including the idea of an infinite series and the concept of limits.

Bhaskara II, in his treatise Lilavati, provided a geometric method for solving quartic equations, known as the kuttaka method.

The Brahmasphuta Siddhanta includes a discussion on the concept of mathematical induction, known as the anvayavyatireka method.

There is no known Indian mathematician who developed a method for solving quintic equations using geometric constructions.

There is no known Indian mathematical text that contains a detailed description of the concept of mathematical analysis.

There is no known Indian mathematician who developed a method for solving sextic equations using geometric constructions.