For example “Oh Lilavati, intelligent girl, if you understand addition & subtraction, tell me the sum of the amounts 2, 5, 32, 193, 18, 10 & 100, as well as those when subtracted from 10000.” The book contains thirteen chapters, mainly definitions, arithmetical terms, interest computation, arithmetical & geometric progressions. Many of the problems in this book are addressed to his daughter. It is believed that Bhaskara named this book after his daughter Lilavati. Lilavati (meaning a beautiful woman) is based on Arithmetic. He was perhaps the first to conceive the differential coefficient and differential calculus. While Newton and Leibniz have been credited with differential and integral calculus, there is strong evidence to suggest that Bhāskara was a pioneer in some of the principles of differential calculus.
He is particularly known in the discovery of the principles of differential calculus and its application to astronomical problems and computations.
He also wrote another treatise named Karna Kautoohala.īhāskara’s work on calculus predates Newton and Leibniz by over half a millennium.
These four sections deal with arithmetic, algebra, mathematics of the planets, and spheres respectively. His main work Siddhānta Shiromani, (Sanskrit for “ Crown of treatises,“) is divided into four parts called Lilāvati(beautiful woman, named after his daughter Lilavati), Bijaganita, Grahaganita (mathematics of planets) and Golādhyāya (study of sphere/earth).
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