BHASKARACHARYA T H E G R E AT M AT H E M AT I T I A N BHASKARACHAR YA HIS LIFE HISTORY . cosmography. Therefore. planets." Bhaskaracharya was the first to discover gravity. Karnataka state. moon. In the Surya Siddhant he makes a note on the force of gravity: "Objects fall on earth due to a force of attraction by the earth. mathematical techniques and astronomical equipment. Bhaskaracharya's work in Algebra. He lived in the Sahyadri region. eclipses. His father Mahesvara was as an astrologer. South India) into the Deshastha Brahmin family. . In his treatise Siddhant Shiromani he writes on planetary positions.ABOUT BHASKARACHARYA Bhaskarachārya was an Indian mathematician and astronomer who extended Brahmagupta's work on number systems. who taught him mathematics. He was the champion among mathematicians of ancient and medieval India . He was born near Bijjada Bida (in present day Bijapur district. 500 years before Sir Isaac Newton. which he later passed on to his son Loksamudra. and sun are held in orbit due to this attraction. Arithmetic and Geometry catapulted him to fame and immortality. constellations. His renowned mathematical works called Lilavati" and Bijaganita are considered to be unparalleled and a memorial to his profound intelligence. the earth. ‘I was born in Shake 1036 (1114 AD) and I wrote Siddhanta Shiromani when I was 36 years old. his teacher and his education.BIRTH AND EDUCATION OF BHASKARACHARYA He was called ‘Ganakchakrachudamani’. He writes about his year of birth as follows. and two Mimansas’. ‘a gem among all the calculators of astronomical phenomena. Looking at the knowledge. . six texts of medicine. since he has mentioned ‘Parambrahman’ in that verse. his place of residence.’ Bhaskaracharya himself has written about his birth. where there are scholars and all branches of knowledge are studied. four Vedas. I acquired knowledge at his feet’. which means. a brahmin called Maheshwar was staying. Bhaskaracharya calls himself a poet and most probably he was Vedanti. five books of mathematics.’Bhaskaracharya has also written about his education. six books on logic. which he acquired in a span of 36 years as follows‘I have studied eight books of grammar. which is surrounded by Sahyadri ranges. five books on Bharat Shastras. ‘A place called ‘Vijjadveed’. in Siddhantashiromani as follows. BHASKARACHARYA ‘S CONTRIBUTIONS A proof of the Pythagorean theorem by calculating the same area in two different ways and then canceling out terms to get a² + b² = c². solutions of quadratic. A cyclic Chakravala method for solving indeterminate equations of the form ax² + bx + c = y. Solutions of Diophantine equations of the second order. Integer solutions of linear and quadratic indeterminate equations (Kuttaka). but its solution was unknown in Europe until the time of Euler in the 18th century. The rules he gives are (in effect) the same as those given by the Renaissance European mathematicians of the 17th century. His method for finding the solutions of the problem x² − ny² = 1 (socalled "Pell's equation") is of considerable interest and importance. cubic and quartic indeterminate equations. though his method was more difficult than the chakravala method. In Lilavati. Solutions of indeterminate quadratic equations (of the type ax² + b = y²). such as 61x² + 1 = y². This very equation was posed as a problem in 1657 by the French mathematician Pierre de Fermat. The solution to this equation was traditionally attributed to William Brouncker in 1657. . after discovering the derivative and differential coefficient. the mean value theorem. In Siddhanta Shiromani. Stated Rolle's theorem. . a special case of one of the most important theorems in analysis. Conceived differential calculus. Calculated the derivatives of trigonometric functions and formulae. Traces of the general mean value theorem are also found in his works. Preliminary concept of infinitesimal calculus. and found negative and irrational solutions. along with notable contributions towards integral calculus. Solved quadratic equations with more than one unknown. Bhaskara developed spherical trigonometry along with a number of other trigonometric results. Preliminary concept of mathematical analysis. divided by zero gives infinity.surds. In mathematics. gives a (assuming a≠0).THE IDEA OF INFINITY He was the first to give that any no.permutation and combination. Such a division can be formally expressed as a/0 where a is the dividend (numerator). the expression has no meaning. division by zero is division where the divisor (denominator) is zero. and so division by zero is ∞. In ordinary arithmetic. multiplied by 0.(∞) He has written a lot about zero. as there is no number which. Any number divided by 0= ∞ For example=> 9/0= ∞ 1025/0= ∞ 2048/0= ∞ . Thank you Submitted byARNAV BARMAN CLASS-VIII F .