Indian astronomer and mathematician Bhaskaracharya (Bhaskara II) lived in the 12th century AD. Bhaskaracharya was appointed director of the astronomical observatory in Ujjain, which at the time was India's most important mathematical hub. There, notable mathematicians like Varahamihira and Brahmagupta strove to establish a powerful school of mathematical astronomy. This article will explain to you about the Bhaskaracharya which will be helpful in Ancient History preparation for the UPSC Civil service exam.

Bhaskaracharya

• Bhaskaracharya, the head of a cosmic observatory at Ujjain, the primary mathematical hub of ancient India, was a Hindu Deshastha Brahmin family of intellectuals, mathematicians, and astronomers.
• The 12th-century understanding of mathematics and astronomy was significantly advanced by Bhaskara and his writings.
• The finest mathematician of mediaeval India, according to some, was him.
• His principal work, Siddhanta-Siromani, is broken into four sections that are often regarded as four distinct works and are titled Lilavati, Bijagaita, Grahagaita, and Goladhyaya.
• These four sections, in that order, cover arithmetic, algebra, planetary mathematics, and spheres.
• In addition, he produced Karana Kautuhala, another treatise.
• The 12th-century mathematical knowledge peaked with Bhaskaracharya, in many aspects.
• He developed a comprehension of number systems and problem solving that would take Europe several centuries to accomplish.
• Over 500 years before Newton and Leibniz, Bhaskara created the first calculus.
• He is most recognised for discovering the fundamentals of differential calculus and applying them to calculations and issues in astronomy.
• There is considerable evidence to imply that Bhaskara was a pioneer in some of the ideas of differential calculus, even though Newton and Leibniz have been given the credit for developing differential and integral calculus.
• The differential coefficient and differential calculus were maybe his innovations.

Bhaskaracharya

Lilavati

• The treatise on mathematics known as Lilavati was produced in 1150 by Indian mathematician Bhaskara.
• Along with the Bijaganita, the Grahaganita, and the Goladhyaya, it is the first book of his primary opus, the Siddhanta Shiromani.
• Several intriguing traditions claim that his book on mathematics was created for his daughter Lilavati.
• There are thirteen chapters in the book, mostly dealing with definitions, mathematical words, interest calculations, progressions in both geometry and arithmetic, plane geometry, and solid geometry.
• Lilavati discusses a variety of computation techniques, including multiplications, squares, and progressions, with examples utilising everyday items like kings and elephants.

Bhaskaracharya - Contributions

• Performed derivative calculations for trigonometric formulas and functions.
• Computing the same area in two different methods to demonstrate the Pythagorean theorem.
• After learning about the derivative and differential coefficient, developed differential calculus.
• Lilavati provides explanations for the solutions of indeterminate quadratic, cubic, and quadratic equations.
• Discovered negative and irrational solutions to quadratic equations with several unknowns.
• Introduction to infinitesimal calculus and significant advances in integral calculus.
• Stated Rolle's Theorem, a specific instance of the mean value Theorem, one of the most significant analytical Theorems.
• As per Surya Siddhanta, 365.2588 days are needed for Earth to complete one orbit around the Sun.
• The discrepancy between the old and new measurements is only 3.5 minutes, or 365.2563 days.
• The first section of his Siddhanta Shiromani mathematical astronomy work discusses mathematical astronomy, while the second portion discusses the sphere.
• The first mention of a perpetual motion device was made in 1150 by Bhaskara II, who described a wheel that he said would perpetually turn.
• Yasti-yantra is a measuring tool employed by Bhaskara II.
• This tool might be anything from a straightforward stick to V-shaped staffs made expressly for calculating angles using a calibrated scale.

Conclusion

A Deshastha Brahmin family of scholars, mathematicians, and astronomers, Bhaskaracharya was the leader of a cosmic observatory at Ujjain, the main centre of mathematics in ancient India. The 12th century AD saw the life of Indian astronomer and mathematician Bhaskaracharya (Bhaskara II). He was regarded by some as the greatest mathematician of mediaeval India.