# List of Famous Indian mathematicians from Ancient to Modern India

23-JUN-2017 10:15

Mathematics is a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement. The Aryabhata, Brahmagupta, Mahāvīra, Bhaskara II, Madhava of Sangamagrama, Nilakantha Somayaji etc. are classical Indian mathematician and their contribution in mathematics made them immortal. For example- decimal number system, concept of zero as a number, negative numbers, arithmetic, algebra, trigonometry etc. From ancient to the Medieval India, the mathematical works were composed in Sanskrit especially consists of sutras in which a set of rules or problems were stated.

Here, we are giving the list of Indian mathematicians from Ancient to Modern India with their contribution.

1. Baudhayana

Born: Around 800 BC

Notable Work: Approximation of the square root of 2 and the statement of a version of the Pythagorean Theorem

## 2. Katyayana

Born: Around 300 BC

Notable Work: Varttika, Vyakarana, later Sulba Sutras

## 3. Pingala

Born: Around 500 BC

Notable Work: Matrameru, binary numeral system, arithmetical triangle

## 4. Aryabhata

Born: Between 476-550 CE

Notable works: Aryabhaṭiya, Arya-siddhanta

Notable Ideas: Explanation of lunar eclipse and solar eclipse, rotation of Earth on its axis, reflection of light by moon, sinusoidal functions, solution of single variable quadratic equation, value of π correct to 4 decimal places, circumference of Earth to 99.8% accuracy, calculation of the length of sidereal year.

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## 5. Varahamihira

Born: Between 505–587 CE

Notable Work: Pancha-Siddhāntikā, Brihat-Samhita, Brihat Jataka

## 6. Yativrsabha

Born: Around 6th-century CE

Known for: Mathematician and writer of the book Tiloyapannatti which gives various units for measuring distances and time and postulated different concepts about infinity

## 7. Brahmagupta

Born: Between 598–670 CE

Known for: Zero, Modern number system, Brahmagupta's theorem, Brahmagupta's identity, Brahmagupta's problem, Brahmagupta-Fibonacci identity, Brahmagupta's interpolation formula, Brahmagupta's formula

Born: Between 600–680 CE

Known for: Sine approximation formula

## 9. Shridhara

Born: Between 650–850 CE

Contribution: Gave a rule for finding the volume of a sphere

## 10. Mahavira

Born: 9th century CE

Notable Work: His work is a highly syncopated approach to algebra and the emphasis in much of his text is on developing the techniques necessary to solve algebraic problems.

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## 11. Pavuluri Mallana

Born: 11th century CE

Notable Work: He translated Ganitasara Samgraham, a mathematical treatise of Mahivaracharya, into Telugu as Sara Sangraha Ganitamu.

Born: 1114–1185 CE

Known for: Discovery of the principles of differential calculus and its application to astronomical problems and computations

## 13. Narayana Pandit

Born: Between 1340–1400 CE

Notable Work: Arithmetical treatise called Ganita Kaumudi ; Algebraic treatise called Bijganita Vatamsa

Born: 1340-1350 CE

Known for: Discovery of power series expansions of trigonometric sine, cosine and arctangent functions

## 15. Parameshvara

Notable Work: Discovered drk-ganita, a mode of astronomy based on observations

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## 16. Nilakantha Somayaji

Notable Work: Golasara, Candrachayaganita, Aryabhatiya-bhashya, Tantrasamgraha Raghunatha Siromani

## 17. Shankara Variyar

Notable Work: Yukti-dipika - an extensive commentary in verse on Tantrasamgraha based on Yuktibhasa; Laghu-vivrti - a short commentary in prose on Tantrasamgraha; Kriya-kramakari - a lengthy prose commentary on Lilavati of Bhaskara II

Known for: Authorship of Yuktibhaṣa

Notable work: Yuktibhāṣā, Drkkarana

## 19. Munishvara

Born: Around 17th century

Notable Work: Produced accurate sine tables

## 20. Kamalakara

Notable Work: Combined traditional Indian astronomy with Aristotelian physics and Ptolemaic astronomy as presented by Islamic scientists; Given formulae for sin(A/2) and sin(A/4) in terms of sin(A) and iterative formulae for sin(A/3) and sin(A/5); Given a table for finding the right ascension of a planet from its longitude.

21. Jagannatha Samrat

Notable Work: Siddhanta-samrat, Yantra-prakara

Known for: Calculated height of Mount Everest

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## 23. Pathani Samanta

Known for: Naked eye astronomy

Known for: Establishing the culture of organised mathematical research in India

Notable work: A Treatise on Spherical Harmonics and the Functions of Bessel and Lame

## 25. Srinivasa Ramanujan

Born: 22 December 1887

Known for: Landau–Ramanujan constant; Mock theta functions; Ramanujan conjecture; Ramanujan prime; Ramanujan–Soldner constant; Ramanujan theta function; Ramanujan's sum; Rogers–Ramanujan identities; Ramanujan's master theorem

## 26. Prasanta Chandra Mahalanobis

Born: 29 June 1893

Known for: Mahalanobis distance Feldman–Mahalanobis model

27. Subbayya Sivasankaranarayana Pillai

Born: April 5, 1901

Known for: Pillai's conjecture; Pillai's arithmetical function; Pillai prime

## 28. Raj Chandra Bose

Born: 19 June 1901

Known for: Association scheme; Bose–Mesner algebra; Euler's conjecture on Latin squares; strongly regular graphs; Partial Geometries; Morse code

## 29. Samarendra Nath Roy

Born: 11 December 1906

Known for: Multivariate analysis

## 30. Subrahmanyan Chandrasekhar

Born: 19 October 1910

Known for: Chandrasekhar limit; Chandra X-ray Observatory; Chandrasekhar friction; Chandrasekhar number; Chandrasekhar tensor; Chandrasekhar equation; Chandrasekhar virial equations; Chandrasekhar's Variational Principle; 1958 Chandra; Schonberg–Chandrasekhar limit

## 31. S. S. Shrikhande

Born: 19 October 1917

Known for: Euler's conjecture

Born: 23 May 1918

Known for: Vaidya Metric, Vaidya–Patel solution, Einstein field equations

## 33. Anil Kumar Gain

Born: 1 February 1919

Known for: Pearson product-moment correlation coefficient Vidyasagar University

## 34. C. R. Rao

Born: 10 September 1920

Known for: Cramér–Rao bound, Rao–Blackwell theorem, Orthogonal arrays, Score test

## 35. Harish chandra

Born: 11 October 1923

Known for: Harish-Chandra's c-function;Harish-Chandra's character formula; Harish-Chandra homomorphism; Harish-Chandra isomorphism; Harish-Chandra module; Harish-Chandra's regularity theorem; Harish-Chandra's Schwartz space; Harish Chandra transform; Harish-Chandra's Ξ function

Born: 30 April 1924

## 37. Gopinath Kallianpur

Born: April 25, 1925

Known for: Fisher consistency

## 38. Shreeram Shankar Abhyankar

Born: July 22, 1930

Known for: Abhyankar's conjecture, Abhyankar's lemma, Abhyankar–Moh theorem

Born: February 29, 1932

## 40. K. S. S. Nambooripad

Born: 6 April 1935

## 41. Vinod Behari Johri

Born: 10 June 1935

Known for: Power law inflation in Brans–Dicke theory; Theory of integrated tracking of quintessence fields of dark energy;Phantom cosmologies

## 42. K. R. Parthasarathy

Born: 25 June 1936

Known for: Quantum stochastic calculus

Born: May 1937

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## 44. Vasanti N. Nayak

Born: 10 June 1938

Known for: Combinatorial design and Graph Theory

Born: 2 January 1940

Known for: Martingale problems; large deviation theory

## 46. Vashishtha Narayan Singh

Born: April 2, 1942

Known for: Reproducing Kernels and Operators with a Cyclic Vector

Born: 1943

Known for: Frequency partition,Line graphs, Degree sequences

## 48. N. M. Singhi

Born: 1949

Known for: Combinatorics and Graph Theory

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Known for: non-commutative Iwasawa theory, Arithmetic of Algebraic varieties

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## 49. Narendra Krishna Karmarkar

Born: 1957

Known for: Karmarkar's algorithm

## 50. Manindra Agrawal

Born: 20 May, 1966

Known for: AKS primality test

## 51. Chandrashekhar Khare

Born: 1968

Known for: Proof of Serre conjecture

## 52. Subhash Khot

Known for: Unique games conjecture

## 53. Dr. Neena Gupta

Known for: Providing a counter-example over a field of positive characteristic to the special Zariski Cancellation Problem

In the above list of Indian Mathematicians from Ancient to Modern India will enhance the general knowledge of the readers.

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