Key Concepts in Indian Mathematics

Aryabhata (476-550 CE) is widely regarded as the father of Indian mathematics for his contributions to arithmetic, algebra, trigonometry, and astronomy.

Brahmagupta (598-668 CE) is credited with developing the concept of zero and its use in arithmetic operations, making him one of the most influential mathematicians in history.

Aryabhatiya is the seminal work of Aryabhata, written in the 5th century CE. It covers topics such as arithmetic, algebra, trigonometry, and astronomy.

Bhaskara II (1114-1185 CE) was a renowned mathematician who made significant contributions to indeterminate equations and Diophantine analysis, a branch of mathematics dealing with integer solutions to polynomial equations.

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

Brahmagupta is credited with developing the concept of the Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones.

Siddhanta Shiromani is the magnum opus of Bhaskara II, written in the 12th century CE. It covers a wide range of mathematical topics, including arithmetic, algebra, trigonometry, and astronomy.

Srinivasa Ramanujan (1887-1920) was a self-taught mathematician who made groundbreaking contributions to calculus, infinite series, and number theory.

The Notebooks of Srinivasa Ramanujan is a collection of Ramanujan's mathematical work, published posthumously in 1957.

Srinivasa Ramanujan made significant contributions to modular forms and automorphic functions, areas of mathematics that have applications in number theory, representation theory, and physics.

Ramanujan's Theorem, also known as the Hardy-Ramanujan Theorem, states that every positive integer can be expressed as a sum of three cubes.

Srinivasa Ramanujan made significant contributions to the Riemann hypothesis, a conjecture in number theory that has remained unsolved for over a century.

Bhaskara's Theorem, also known as the Sum of Squares Theorem, states that the sum of the squares of the first n natural numbers is equal to n(n+1)(2n+1)/6.

Brahmagupta made significant contributions to the theory of continued fractions, a method for representing real numbers as an infinite series of fractions.

Heron's Formula, also known as Heron's Rule, states that the area of a triangle is equal to half the product of its base and height.