Bhaskara ii contribution to mathematics

Bhaskara II Astronomy Using an astronomical model developed by Brahmagupta in the 7th century, Bhaskara accurately defined many astronomical quantities, including, for example, the length of the sidereal year, the time that is required for the Earth to orbit the Sun, as 365.2588 days which is the same as in Suryasiddhanta. The modern accepted measurement “Bhaskara II AstronomyTherory” Bhaskara II Calculus Bhaskara II work, the Siddhanta Shirmoni, is an astronomical treatise and contains many theories not found in earlier works. Preliminary concepts of infinitesimal calculus and mathematical analysis, along with a number of results in trigonometry , differential calculus and integral calculus that are found in the work are of particular interest. Evidence “Bhaskara II CalculusTheory” Posted by अक्टूबर 13, 2014 Posted in टैग: on Bhaskara II CalculusTheory Trigonometry The Siddhanta Shrimoni (written in 1150) demonstrates Bhaskara’s knowledge of trigonometry, including the sine table and relationships between different trigonometric functions. He also discovered spherical trigonometry, along with other interesting trigonometrically results. In particular Bhaskara seemed more interested in trigonometry for its own sake than his predecessors who saw it only as a “Bhaskara’s knowledge oftrigonometry” Posted by अक्टूबर 13, 2014 Posted in टैग: on Bhaskara’s knowledge oftrigonometry Algebra Bhaskara II Bijaganita (“Algebra”) was a work in twelve chapters. It was the first text to r...

It is time for new research to be conducted on ancient Indian Vedic mathematics. Math in India has its origins in Vedic literature, which dates back nearly four thousand years. Scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varhamihira made important contributions during the classical period of Indian mathematics (400 CE to 1200 CE). India was the first country to introduce the decimal number system, zero as a number, negative numbers, and arithmetic, algebra, and trigonometry, and these concepts spread throughout Asia and Europe. The writer of this article, Pankaj Jagannath Jayswalintroduces Bhaskaracharya II, was an Indian mathematician, and astronomer who developed Brahmagupta’s number-system theory. His work ‘Bijaganita’ (“Algebra”) has twelve chapters. In this text, the idea that a positive number has two square roots (a positive and a negative square root) was first introduced. A number of factors make Bhaskaracharya an important figure in the 12th century in terms of mathematical understanding. In Ujjain, he headed an astronomical observatory. The rich heritage of Bharat(India), its scientific and technological knowledge, concepts, and skills, have always been neglected and disregarded by politically obsessed westerners and by many selfish Indians who despise Sanatan Dharma principles, knowledge of all subjects, and good universal principles. -PANKAJ JAGANNATH JAYSWAL Author, writer, Educationist, Counselor, AOL faculty, Electrical Engineer Many western scie...

The period between 500 and 1200 AD was the golden age of Indian Astronomy. In this long span of time Indian Astronomy flourished mainly due to eminent astronomers like Aryabhatta, Lallacharya, Varahamihir, Brahmagupta, Bhaskaracharya and others. Bhaskaracharya, or Bhaskara II (1114 – 1185) is regarded almost without question as the greatest Hindu mathematician of all time and his contribution to not just Indian, but world mathematics is undeniable. He was born near Bijjada Bida (in present day Bijapur district, Karnataka state, South India) into the Deshastha Brahmin family. Some of Bhaskara’s contributions to mathematics include the following: -Bhaskara is the first to give the general solution to the quadratic equation ax2 + bx + c = 0, the answer being x = (-b ± (b2 – 4ac)1/2)/2a. -He also gives the (now) well known results for sin (a + b) and sin (a – b). -Stated Rolle’s Theorem, a special case of one of the most important theorems in analysis, the mean value theorem. Traces of the general mean value theorem are also found in his works. -Solutions of indeterminate quadratic equations (of the type ax² + b = y²). -Bhaskara also goes deeper into the ‘differential calculus’ and suggests the differential coefficient vanishes at an extremum value of the function, indicating knowledge of the concept of ‘infinitesimals’ Bhaskaracharya wrote Siddhanta Shiromani in 1150 AD when he was 36 years old. This is a mammoth work containing about 1450 verses. It is divided into four part...

Ancient mathematics in India has been contributing to the maximum, related to arithmetic, trigonometry, algebra and other sectors of mathematics. Indians from ancient times have been curious and dedicated to inventions in different fields. Mentioning about one of the most genius scientists we know who contributed are as follows: Bhaskara I and introduction of the decimal in mathematics In the 7th century, the decimal was invented by Bhaskara I by adding O in place of zero. The decimal system was introduced by Bhaskara I and also the sine function was introduced in India. Now the method is studied globally, later the circle was replaced by 0 after its invention. Bhaskara I was an Indian mathematician and also contributed to astronomical contributions. Being one of the successful mathematicians in India from ancient times has also contributed to the idea of a prime number, if p is the prime number then 1+(p-1)! that is divisible by p. Bhaskara II and his work on calculus Differential calculus and its principles were discovered in India by Bhaskar II in the 12th century. Mathematics of India has also contributed to the calculus. Ancient India mathematics is also contributed to the coefficient and differential calculus. Different sections of mathematics were algebra, arithmetic, trigonometry, and geometry were invented during ancient India times based on the calculations of astronomical mathematics. Later calculus stood to become of the key inventions that are essential for mo...

Biography Bhaskara is also known as Bhaskara II or as Bhaskaracharya, this latter name meaning "Bhaskara the Teacher". Since he is known in India as Bhaskaracharya we will refer to him throughout this article by that name. Bhaskaracharya's father was a Brahman named Mahesvara. Mahesvara himself was famed as an astrologer. This happened frequently in Indian society with generations of a family being excellent mathematicians and often acting as teachers to other family members. Bhaskaracharya became head of the astronomical observatory at Ujjain, the leading mathematical centre in India at that time. Outstanding mathematicians such as In many ways Bhaskaracharya represents the peak of mathematical knowledge in the 12 th century. He reached an understanding of the number systems and solving equations which was not to be achieved in Europe for several centuries. Six works by Bhaskaracharya are known but a seventh work, which is claimed to be by him, is thought by many historians to be a late forgery. The six works are: Lilavati (The Beautiful ) which is on mathematics; Bijaganita (Seed Counting or Root Extraction ) which is on algebra; the Siddhantasiromani which is in two parts, the first on mathematical astronomy with the second part on the sphere; the Vasanabhasya of Mitaksara which is Bhaskaracharya's own commentary on the Siddhantasiromani ; the Karanakutuhala (Calculation of Astronomical Wonders ) or Brahmatulya which is a simplified version of the Siddhantasiromani ; an...

... Because of his work India gave a definite 'quota' to the forward world march of the science. [LG, P 104] Born in 1114 AD (in Vijayapura, he belonged to Bijjada Bida ) he became head of the Ujjain school of mathematical astronomy ( ). There is some confusion amongst the texts I have referred to as to the works that he wrote. C Srinivasiengar claims he wrote Siddhanta Siromani in 1150 AD, which contained four sections: 1) Lilavati (arithmetic ) 2) Bijaganita (algebra ) 3) Goladhyaya (sphere/celestial globe ) 4) Grahaganita (mathematics of the planets ) E Robertson and J O'Connor claim that he wrote 6 works, 1), 2) and SS (which contained two sections ) and three further astronomical works, including two commentaries on the SS. G Joseph claims his mathematically significant works were 1), 2), and SS (which indeed he wrote in 1150 and is a highly influential astronomical work ). S Sinha however agrees with C Srinivasiengar that Lilavati was a section (chapter ) of the SS, and thus I will agree with the respected Indian historians. Lilavati (or Leelavati, there is a charming if unlikely story regarding the origin of the name of this work ) is divided into 13 chapters (possibly by later scribes ) and covers many branches of mathematics, arithmetic, algebra, geometry, and a little trigonometry and mensuration. More specifically the contents include: - Definitions. - Properties of zero (including division ). - Further extensive numerical work, including use of negative numbers...

Biography Bhaskara is also known as Bhaskara II or as Bhaskaracharya, this latter name meaning "Bhaskara the Teacher". Since he is known in India as Bhaskaracharya we will refer to him throughout this article by that name. Bhaskaracharya's father was a Brahman named Mahesvara. Mahesvara himself was famed as an astrologer. This happened frequently in Indian society with generations of a family being excellent mathematicians and often acting as teachers to other family members. Bhaskaracharya became head of the astronomical observatory at Ujjain, the leading mathematical centre in India at that time. Outstanding mathematicians such as In many ways Bhaskaracharya represents the peak of mathematical knowledge in the 12 th century. He reached an understanding of the number systems and solving equations which was not to be achieved in Europe for several centuries. Six works by Bhaskaracharya are known but a seventh work, which is claimed to be by him, is thought by many historians to be a late forgery. The six works are: Lilavati (The Beautiful ) which is on mathematics; Bijaganita (Seed Counting or Root Extraction ) which is on algebra; the Siddhantasiromani which is in two parts, the first on mathematical astronomy with the second part on the sphere; the Vasanabhasya of Mitaksara which is Bhaskaracharya's own commentary on the Siddhantasiromani ; the Karanakutuhala (Calculation of Astronomical Wonders ) or Brahmatulya which is a simplified version of the Siddhantasiromani ; an...

Bhaskara II Astronomy Using an astronomical model developed by Brahmagupta in the 7th century, Bhaskara accurately defined many astronomical quantities, including, for example, the length of the sidereal year, the time that is required for the Earth to orbit the Sun, as 365.2588 days which is the same as in Suryasiddhanta. The modern accepted measurement “Bhaskara II AstronomyTherory” Bhaskara II Calculus Bhaskara II work, the Siddhanta Shirmoni, is an astronomical treatise and contains many theories not found in earlier works. Preliminary concepts of infinitesimal calculus and mathematical analysis, along with a number of results in trigonometry , differential calculus and integral calculus that are found in the work are of particular interest. Evidence “Bhaskara II CalculusTheory” Posted by अक्टूबर 13, 2014 Posted in टैग: on Bhaskara II CalculusTheory Trigonometry The Siddhanta Shrimoni (written in 1150) demonstrates Bhaskara’s knowledge of trigonometry, including the sine table and relationships between different trigonometric functions. He also discovered spherical trigonometry, along with other interesting trigonometrically results. In particular Bhaskara seemed more interested in trigonometry for its own sake than his predecessors who saw it only as a “Bhaskara’s knowledge oftrigonometry” Posted by अक्टूबर 13, 2014 Posted in टैग: on Bhaskara’s knowledge oftrigonometry Algebra Bhaskara II Bijaganita (“Algebra”) was a work in twelve chapters. It was the first text to r...

... Because of his work India gave a definite 'quota' to the forward world march of the science. [LG, P 104] Born in 1114 AD (in Vijayapura, he belonged to Bijjada Bida ) he became head of the Ujjain school of mathematical astronomy ( ). There is some confusion amongst the texts I have referred to as to the works that he wrote. C Srinivasiengar claims he wrote Siddhanta Siromani in 1150 AD, which contained four sections: 1) Lilavati (arithmetic ) 2) Bijaganita (algebra ) 3) Goladhyaya (sphere/celestial globe ) 4) Grahaganita (mathematics of the planets ) E Robertson and J O'Connor claim that he wrote 6 works, 1), 2) and SS (which contained two sections ) and three further astronomical works, including two commentaries on the SS. G Joseph claims his mathematically significant works were 1), 2), and SS (which indeed he wrote in 1150 and is a highly influential astronomical work ). S Sinha however agrees with C Srinivasiengar that Lilavati was a section (chapter ) of the SS, and thus I will agree with the respected Indian historians. Lilavati (or Leelavati, there is a charming if unlikely story regarding the origin of the name of this work ) is divided into 13 chapters (possibly by later scribes ) and covers many branches of mathematics, arithmetic, algebra, geometry, and a little trigonometry and mensuration. More specifically the contents include: - Definitions. - Properties of zero (including division ). - Further extensive numerical work, including use of negative numbers...

Ancient mathematics in India has been contributing to the maximum, related to arithmetic, trigonometry, algebra and other sectors of mathematics. Indians from ancient times have been curious and dedicated to inventions in different fields. Mentioning about one of the most genius scientists we know who contributed are as follows: Bhaskara I and introduction of the decimal in mathematics In the 7th century, the decimal was invented by Bhaskara I by adding O in place of zero. The decimal system was introduced by Bhaskara I and also the sine function was introduced in India. Now the method is studied globally, later the circle was replaced by 0 after its invention. Bhaskara I was an Indian mathematician and also contributed to astronomical contributions. Being one of the successful mathematicians in India from ancient times has also contributed to the idea of a prime number, if p is the prime number then 1+(p-1)! that is divisible by p. Bhaskara II and his work on calculus Differential calculus and its principles were discovered in India by Bhaskar II in the 12th century. Mathematics of India has also contributed to the calculus. Ancient India mathematics is also contributed to the coefficient and differential calculus. Different sections of mathematics were algebra, arithmetic, trigonometry, and geometry were invented during ancient India times based on the calculations of astronomical mathematics. Later calculus stood to become of the key inventions that are essential for mo...