08-02-2008, 07:33 AM
<!--QuoteBegin-->QUOTE<!--QuoteEBegin--><b>Hindu Calculus</b>
K.Ramasubramanian, a professor at the IIT-Bombay, has recently published a book on Hindu calculus, âGanita Yukti-Bhasaâ. Yukti-Bhasa means rational mathematics. It is the translation of a synonymous work by Madhava of Sangama Grama in Kerala. The book is featured in Pune mirror, a tabloid of the TOI group. (It was not Newton, but Madhava, July 30, 08; p4) âSubsets of calculus existed in the Ganita-Yukti-Bhasa, two centuries before Isaac Newton published his workâ.
The following are extracts from the report.
Yukti-Bhasa is a major treatise on Mathematics and astronomy written by Jyeshtadeva of the Kerala School of mathematics in about 1530. The treatise is a consolidation of the discoveries by Madhava Sangamagrama, Nilkantha Somayajee, Parameswara, Jyeshtadeva, Achyuta Panikkar and others of the Kerala School. The book is based on Tantra Sangraha by Nilkantha Somayajee. It was written in Malayalam and was not noticed outside Kerala. Some have argued that it was transmitted to Europe.
The work was unique for its time. It contained proofs and derivations of theorems. This was unusual. Important developments include infinite series expansion of a function, the power series, the Taylor series, the trigonometric series of sine, cosine, tangent and arc tangent, the power series of pi, pi/4, theta the radius, circumference and tests of convergence.
The text is divided into two parts. The first deals with arithmetic, algebra, trigonometry, geometry, logistics, fractions, rule of three, circle and disquisition on R-Sine. The second part deals with astronomy. The planetary theory is similar to that developed by the Danish astronomer, Tycho Brahe.
Madhava Sangamagrama was born as Irinjaatapilly Madhavan Namboodri,.(1350-1425) He was a prominent Hindu mathematician from Irinjalakuda near Kochi. He was the founder of the Kerala School of mathematics. He developed infinite series approximations, for a range of trigonometric functions. His discoveries opened the door mathematical analysis.
Nilakantha Somayaji (1444-1544) lived in Tryambakeshwar. He wrote a comprehensive treatise Tantra Sangraha in 1501. He also wrote Aryabhatiya Bhasya and Graha parikrama. (Source wikipedia.)<!--QuoteEnd--><!--QuoteEEnd-->
K.Ramasubramanian, a professor at the IIT-Bombay, has recently published a book on Hindu calculus, âGanita Yukti-Bhasaâ. Yukti-Bhasa means rational mathematics. It is the translation of a synonymous work by Madhava of Sangama Grama in Kerala. The book is featured in Pune mirror, a tabloid of the TOI group. (It was not Newton, but Madhava, July 30, 08; p4) âSubsets of calculus existed in the Ganita-Yukti-Bhasa, two centuries before Isaac Newton published his workâ.
The following are extracts from the report.
Yukti-Bhasa is a major treatise on Mathematics and astronomy written by Jyeshtadeva of the Kerala School of mathematics in about 1530. The treatise is a consolidation of the discoveries by Madhava Sangamagrama, Nilkantha Somayajee, Parameswara, Jyeshtadeva, Achyuta Panikkar and others of the Kerala School. The book is based on Tantra Sangraha by Nilkantha Somayajee. It was written in Malayalam and was not noticed outside Kerala. Some have argued that it was transmitted to Europe.
The work was unique for its time. It contained proofs and derivations of theorems. This was unusual. Important developments include infinite series expansion of a function, the power series, the Taylor series, the trigonometric series of sine, cosine, tangent and arc tangent, the power series of pi, pi/4, theta the radius, circumference and tests of convergence.
The text is divided into two parts. The first deals with arithmetic, algebra, trigonometry, geometry, logistics, fractions, rule of three, circle and disquisition on R-Sine. The second part deals with astronomy. The planetary theory is similar to that developed by the Danish astronomer, Tycho Brahe.
Madhava Sangamagrama was born as Irinjaatapilly Madhavan Namboodri,.(1350-1425) He was a prominent Hindu mathematician from Irinjalakuda near Kochi. He was the founder of the Kerala School of mathematics. He developed infinite series approximations, for a range of trigonometric functions. His discoveries opened the door mathematical analysis.
Nilakantha Somayaji (1444-1544) lived in Tryambakeshwar. He wrote a comprehensive treatise Tantra Sangraha in 1501. He also wrote Aryabhatiya Bhasya and Graha parikrama. (Source wikipedia.)<!--QuoteEnd--><!--QuoteEEnd-->