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Brahmagupta's formula [ edit ]. Main article: Brahmagupta's formula. Triangles [ edit ]. Brahmagupta's theorem [ edit ]. Main article: Brahmagupta theorem. Pi [ edit ]. Measurements and constructions [ edit ].
Picture of brahmagupta - indian mathematician ramanujan
Trigonometry [ edit ]. Sine table [ edit ]. Interpolation formula [ edit ]. Main article: Brahmagupta's interpolation formula. Early concept of gravity [ edit ]. Astronomy [ edit ]. See also [ edit ]. References [ edit ]. Notes [ edit ]. Citations [ edit ].
Picture of brahmagupta - indian mathematician ramanujan university
Oxford University Press. ISBN Late classical India. The Argumentative Indian. Allen Lane. Early Astronomy. New York: Springer-Verlag. The Birth of Mathematics: Ancient Times to , p. Pingree's Census of the Exact Sciences in Sanskrit. A4, ff.
Picture of brahmagupta - indian mathematician ramanujan images: Pictures of Brahmagupta.
Ahmed; Benham Sadeghi; Robert G. Hoyland eds. Inasmuch as Brahmagupta used some of the same examples as Diophantus, we see again the likelihood of Greek influence in India — or the possibility that they both made use of a common source, possibly from Babylonia. It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated.
Addition was indicated by juxtaposition, subtraction by placing a dot over the subtrahend, and division by placing the divisor below the dividend, as in our fractional notation but without the bar. The operations of multiplication and evolution the taking of roots , as well as unknown quantities, were represented by abbreviations of appropriate words.
Translated by Henry Thomas Colebrooke. John Murray. The procedures for finding the cube and cube-root of an integer, however, are described compared the latter to Aryabhata's very similar formulation. They are followed by rules for five types of combinations: [ Bibcode : tnti. The Indians called the Euclidean algorithm the "pulverizer" because it breaks numbers down to smaller and smaller pieces.
To obtain a recurrence one has to know that a rectangle proportional to the original eventually recurs, a fact that was rigorously proved only in by Lagrange. His straightforward rules for the volumes of a rectangular prism and pyramid are followed by a more ambiguous one, which may refer to finding the average depth of a sequence of puts with different depths.
The next formula apparently deals with the volume of a frustum of a square pyramid, where the "pragmatic" volume is the depth times the square of the mean of the edges of the top and bottom faces, while the "superficial" volume is the depth times their mean area. Thus Brahmagupta enumerates his first six sine-values as , , , , , His remaining eighteen sines are , , , , , , , , , , , , , , , , , Electronic reproduction.
New York: Columbia University Libraries, Retrieved 3 June OCLC Bibliography [ edit ]. Further reading [ edit ]. External links [ edit ]. Wikimedia Commons has media related to Brahmagupta. Co-presented by. Associate Sponsors. Best of Express Cities 68 murdered in Maliana, all accused acquitted 36 years later, residents ask: So who killed our families?
Cities In appeal, Rahul says was mistreated, sentenced to attract disqualification. G Ifrah, A universal history of numbers : From prehistory to the invention of the computer London, S S Prakash Sarasvati, A critical study of Brahmagupta and his works : The most distinguished Indian astronomer and mathematician of the sixth century A.
Delhi, G S Bhalla, Brahmagupta's quadrilateral, Math. History Sci. B Datta, Brahmagupta, Bull.
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Calcutta Math. XII Wiesbaden, , 83 - R C Gupta, Brahmagupta's formulas for the area and diagonals of a cyclic quadrilateral, Math. Education 8 , B 33 -B R C Gupta, Brahmagupta's rule for the volume of frustum-like solids, Math. Education 6 , B -B S Jha, A critical study on 'Brahmagupta and Mahaviracharya and their contributions in the field of mathematics', Math.
Siwan 12 4 , 66 - Einstein soon used the basic concept by Bose for further research into the field of material physics. Further research by Peter Higgs and Francois Englert, in the field of God particle so clearly set by Bose, led them to winning the Nobel Prize in physics in the year Though Bose was never awarded this honour, many noted scientists believe Bose rightly deserved the award.
From the years , when Bose was made the head of the physics department in University of Kolkata, till Bose was working in his field of expertise. During later years Bose moved towards literature, philosophy and Indian independence movement. Bose had received not only Padma Vibhushan for his notable works but also been appointed for various prestigious positions at different universities.
He was also awarded the fellowship for the Royal Society in London in Satyendra Nath Bose died in the year Anil Kumar Gain was an Indian mathematician, statistician and educationist. Gain was the founder of Vidyasagar University, named after the social reformer, Ishwar Chand Vidyasagar. Born in Bengal in the year , Gain as a young learner had always had great interest in subjects mathematics and english.
He was a gold medalist in M. Gain's most significant contribution is his works on Pearson product-moment correlation coefficient in the field of applied statistics, along with his colleague Ronald Fisher. Gain was the president of the statistics section of the Indian Science Congress Association. The eminent mathematician was also was honoured by the Royal Statistical Society and the Cambridge Philosophical Society.
He died in the year in Bengal. Mahavira was a ninth century Indian mathematician known for separating astrology from mathematics. No exact information is available as to where he was exactly born, but it is mentioned that it was probably the Mysuru state of Southern India. Mahavira made significant contributions in the field of algebra.
The book written by him, Ganitasarasangraha, is composed of mathematical procedures such as basic operations, reductions of fractions, miscellaneous problems involving a linear or quadratic equation with one unknown, the rule of three involving proportionality , mixture problems, geometric computations with plane figures, ditches solids , and shadows similar right-angled triangles.
His work was highly acclaimed because of his contributions to the establishment of terminology for concepts such as equilateral and isosceles triangle; rhombus; circle and semicircle. The brilliant mathematician's works were highly recognised in Southern India and his texts were referred to by many scholars from southern India. Ganesh Prasad, an eminent Indian mathematician, specialised in the theory of potentials, theory of functions of a real variable, Fourier series and the theory of surfaces.
After obtaining his M. Sc degrees from Allahabad University, he had, in the year , moved to Cambridge for further research and training as a Government of India scholar. He returned to India in and that is when he started laying the foundations for developing a culture of research in India. This is the reason why Ganesh Prasad is also known as the "father of mathematical researches in India.
In the year , he went to Kolkata to occupy the chair of Hardinge Professor of Mathematics. He was also elected the president of Calcutta Mathematical Society in and vice-president of Indian Association for the Advancement of Science, Kolkata. He held both these offices till his last.
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He was also one of the founders of the Agra University. Dr Prasad died in the year Seshadri is an eminent mathematician, known for the Seshadri Constant named after him. The well known Indian mathematician was awarded the Padma Bhushan in the year for his outstanding contributions in the field of mathematics.
Born in the year , Chennai, Seshadri completed his graduation in the subject Mathematics in the year , from Madras University before attending Bombay now Mumbai University for a Ph. D in the subject. He completed his doctorate in the year and later on got elected as a fellow at the Indian Academy of Sciences in Seshadri's area of specialisation is algebraic geometry.
The Narasimhan—Seshadri theorem, created in collaboration with M. Narsimhan, has held a great influence in the field of mathematical studies. There he was quite fascinated by French tastes in not just wine and cuisine but also mathematics. Influenced greatly by mathematical geniuses such as Chevalley, Cartan, Schwartz, Grothendieck and Serre, Seshadri returned to India only to become one of the pioneers for starting the School of Mathematics, Tata Institute.
In a career spanning around five decades, C. Seshadri has been not only an inspiring teacher for many but also a leader of a whole generation of mathematicians. His contributions have been considered highly critical for development of Moduli problems, Geometric Invariant Theory as well as Representation Theory of Algebraic Groups.
Radhanath Sikdar is most famously known for his calculation of the height of Mt Everest. Born in Kolkata in the year , Sikdar's first job was conducting geodetic surveys under the then Surveyor General of India, George Everest.