Bruhat Lilabati Sutra is a historic Sanskrit mathematical treatise composed by Tareswar Choudhury, an Indian mathematician and astronomer, in the 9th century. This significant work consists of numerous mathematical problems and their solutions, making it an important contribution to the field of mathematics.
The Bruhat Lilabati Sutra covers various topics such as arithmetic, algebra, geometry, and trigonometry. It provides detailed explanations, formulas, and methods involved in solving complex mathematical problems. The text also includes the use of ancient numerical notation systems, which adds to its historical value.
One of the highlights of the Bruhat Lilabati Sutra is its focus on solving quadratic equations. It presents quadratic equations with multiple unknowns and demonstrates systematic methods to solve them. These methods involve various algebraic manipulations and square root extractions to find the solutions.
Furthermore, Choudhury’s treatise introduces a concept called “ka-kha-ga-gha theorem,” which provides a unique approach to solve arithmetic progressions and geometric series. This theorem is still studied and praised for its simplicity and effectiveness, even after centuries.
The trigonometry section of the Bruhat Lilabati Sutra showcases the use of trigonometric identities and ratios to solve complex trigonometric equations. Choudhury’s work not only provides formulas for sine, cosine, and tangent but also explores applications of these trigonometric functions in astronomy and timekeeping.
Additionally, the Bruhat Lilabati Sutra contains problems related to mensuration, such as finding the areas of various shapes and volumes of solids. Choudhury’s methods in this section showcase his deep understanding of geometry and his ability to provide step-by-step solutions.
The significance of the Bruhat Lilabati Sutra lies in its historical context as well. It was composed during a time when India witnessed remarkable advancements in mathematics and astronomy, rivaling those achieved by civilizations like the Greeks and Egyptians. This treatise serves as evidence of India’s mathematical heritage and showcases the contributions made by Indian scholars to the global mathematical discourse.
In conclusion, the Bruhat Lilabati Sutra by Tareswar Choudhury is a remarkable mathematical treatise that covers various areas of mathematics, including arithmetic, algebra, geometry, and trigonometry. Its sophisticated problem-solving methods and the introduction of original concepts highlight Choudhury’s deep understanding of mathematics. Furthermore, this work serves as a testament to India’s rich mathematical heritage and the contributions made by ancient Indian scholars to the development of mathematics.
|Bruhat Lilabati Sutra/ବୃହତ୍ ଲୀଳାବତୀ ସୁତ୍ର
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