Kalidasa's Work on Mathematics

Lilavati, Bijaganita, and Siddhanta Siromani are all works of Kalidasa related to mathematics, while Aryabhatiya is a work of Aryabhata.

In his work Bijaganita, Kalidasa discusses the concept of zero and its use in mathematical operations.

In the chapter Vyavahara-bhyasa of Lilavati, Kalidasa discusses the rule of three, which is a method for solving proportions.

Kalidasa discusses linear, quadratic, and cubic equations in Bijaganita, but not quartic equations.

Kalidasa used the method of completing the square to solve quadratic equations.

In his work Bijaganita, Kalidasa discusses the concept of negative numbers and their use in mathematical operations.

In the chapter Grahaganita of Siddhanta Siromani, Kalidasa discusses the topic of astronomy, including the motion of planets and the calculation of eclipses.

Kalidasa discusses the Pythagorean theorem, binomial theorem, and rule of three in his works, but not Pascal's triangle.

Kalidasa used the Kuttaka method to solve indeterminate equations.

In his work Siddhanta Siromani, Kalidasa discusses the topic of geometry, including the measurement of angles and areas.

Kalidasa discusses profit and loss, interest, and mixtures in Lilavati, but not permutations and combinations.

In the chapter Adhyaya of Bijaganita, Kalidasa discusses the topic of algebra, including the operations of addition, subtraction, multiplication, and division.

Kalidasa discusses linear, quadratic, and cubic equations in Siddhanta Siromani, but not Diophantine equations.

Kalidasa used the method of substitution to solve linear equations.

In his work Siddhanta Siromani, Kalidasa discusses the topic of trigonometry, including the calculation of sines, cosines, and tangents.