Picture of brahmagupta - indian mathematician shakuntala

Life and career [ edit ]. Works [ edit ]. Reception [ edit ]. Mathematics [ edit ]. Algebra [ edit ]. Arithmetic [ edit ]. Squares and Cubes [ edit ]. Zero [ edit ]. Diophantine analysis [ edit ]. Pythagorean triplets [ edit ]. Pell's equation [ edit ]. Geometry [ edit ]. 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 ]. 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 ]. 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. 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. Five hundred drammas were loaned at an unknown rate of interest, The interest on the money for four months was loaned to another at the same rate of interest and amounted in ten mounths to 78 drammas.

Give the rate of interest. He gave the sum of, a series of cubes and a series of squares for the first n natural numbers as follows:. He mentioned,. The height of a mountain multiplied by a given multiplier is the distance to a city; it is not erased. When it is divided by the multiplier increased by two it is the leap of one of the two who make the same journey.

Also, if m and x are rational, so are d, a, b and c. A Pythagorean triple can therefore be obtained from a, b and c by multiplying each of them by the least common multiple of their denominators. Given the sides of a cyclic quadrilateral, he provided an approximate and exact formula for the area of the cyclic quadrilateral. The approximate area is the product of the halves of the sums of the sides and opposite sides of a triangle and a quadrilateral.

The accurate area is the square root from the product of the halves of the sums of the sides diminished by each side of the quadrilateral. In the figure below, p, q, r, s are the sides of the cyclic quadrilateral. If a cyclic quadrilateral is orthodiagonal i. Drop the perpendicular from M to the line BC, calling the intersection point E.

Then, according to the theorem, F is the midpoint of side AD. Brahmagupta further extended his theory and claimed that,. 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. 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.

Picture of brahmagupta - indian mathematician shakuntala

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. He got this job in the year at the Great Trigonometric Survey. Here Sikdar was tasked with calculating the height of different peaks for different mountains in the Himalayas.

How Radhanath Sikdar came across this reading for the highest peak is interesting. Till date Kanchenjunga was considered the highest peak but a study by James Nicolson had concluded that there might be a higher peak, called the peak XV. This study however had to be left midway as Nicolson contracted malaria. Sikdar basing his readings on the above calculations calculated the distance of peak XV.

It is said that when he found out the measurements, he burst into Waugh's office exclaiming, "Sir, I have discovered the highest mountain in the world. The peak was later on named Mt Everest and the height, ft, so calculated by Radhanath Sikdar, was the official height till the year in India, before an Indian survey recalculated it to 29, ft.

George Everest had retired in the year , but the letter he wrote to Radhanath's father back then in appreciation of his work was testimony to the brilliance and unique capabilities of the young Bengali mathematician. Dattathreya Ramchandra Kaprekar — , also known as 'Ganitananda', was a recreational mathematician. After receiving his education from a school in Thane and later from Fergusson College in Pune, Kaprekar, in the year , won the Wrangler R.

Paranjpe Mathematical Prize for an original piece of work in mathematics. Though he had received, from the University of Mumbai , his bachelor's degree in the year , yet Kaprekar he could never get any postgraduate training in the subject for himself. He was a teacher at a school on Nashik Maharashtra , and had worked tirelessly to publish extensively on topics such as recurring decimals, magic squares, and integers with special properties.

Due to his extensive publications he had become a well known in the recreational mathematics circles. He had described in his works several classes of natural numbers as well as the Kaprekar, Harshad and Self numbers. The Kaprekar constant, named after him, was also discovered by Kaprekar. Indian Mathematicians. Rao C. Ramanujan P.

Mahalanobis S. Your Favorites - Clear. Recent News. Recent Questions ask. Contents move to sidebar hide. Article Talk. Read Edit View history. Tools Tools. Download as PDF Printable version. In other projects. Wikimedia Commons Wikidata item. Indian writer and mental calculator — For other uses, see Shakuntala Devi disambiguation. Bangalore , Kingdom of Mysore , British India.

Bengaluru , Karnataka , India. Author mental calculator astrologer. Paritosh Banerji. Early life [ edit ]. Mental calculator [ edit ]. Book on homosexuality [ edit ]. Personal life [ edit ]. Death and legacy [ edit ]. Selected works [ edit ]. References [ edit ]. The Hindu. Retrieved 9 July AIDS, homophobia and the politics of sexual identity in India".

Globalization and Health. PMC PMID This book saw homosexuality in a positive light and reviewed the socio-cultural and legal situation of homosexuality in India and contrasted that with the gay liberation movement then taking place in the USA. Vogue India. Mumbai , India: Dilshad Arora.