Mathematics is the study of topics such as quantity (numbers), structure, space and change. The Aryabhata, Brahmagupta, Mahāvīra, Bhaskara II, Madhava of Sangamagrama and Nilakantha Somayaji are classical Indian mathematician whose contribution made immortal. Here, we are giving the list of Indian mathematicians from Ancient to Modern India with their contribution.

*Famous Indian mathematicians from Ancient to Modern India*

Mathematics is the study of topics such as quantity (numbers), structure, space and change. The Aryabhata, Brahmagupta, Mahavira, 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.

**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

**8. Bhaskara I**

**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.

**11. Pavuluri Mallana**

**Born:** 11th century CE

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

**12. Bhaskara II**

**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

**14. Madhava of Sangamagrama**

**Born:** 1340-1350 CE

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

**Notable work:** Golavada, Madhyamanayanaprakara, Venvaroha

**15. Parameshvara**

**Born:** Between AD 1360–1455

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

**16. Nilakantha Somayaji**

**Born:** Around AD1444

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

**17. Shankara Variyar**

**Born:** Around AD1530

**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

**18. Jyeshtadeva**

**Born:** Around AD1500

**Known for:** Authorship of Yuktibhaṣa

**Notable work:** Yuktibhāṣā, Drkkarana

**19. Munishvara**

**Born:** Around 17th century

**Notable Work:** Produced accurate sine tables

**20. Kamalakara**

**Born:** Around AD 1657

**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**

**Born:** Around AD1730

**Notable Work:** Siddhanta-samrat, Yantra-prakara

**22. Radhanath Sikdar**

**Born:** Around 1813 AD

**Known for:** Calculated height of Mount Everest

**23. Pathani Samanta**

**Born:** 11 January, 1835-36 AD

**Known for:** Naked eye astronomy

**24. Ganesh Prasad**

**Born:** 15 November, 1876 AD

**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

**32. Prahladbhai Chunilal Vaidya**

**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

**36. Raghu Raj Bahadur**

**Born:** 30 April 1924

**Known for:** Bahadur efficiency; Anderson–Bahadur algorithm; Bahadur-Ghosh-Kiefer representation

**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

**39. C.S. Seshadri**

**Born:** February 29, 1932

**Known for:** Seshadri constant; Narasimhan–Seshadri theorem;standard monomial theory

**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

**43. Veeravalli S. Varadarajan**

**Born:** May 1937

**Known for:** Trombi–Varadarajan theorem

**44. Vasanti N. Nayak**

**Born:** 10 June 1938

**Known for:** Combinatorial design and Graph Theory

**45. Srinivasa Varadhan**

**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

**47. Siddani Bhaskara Rao**

**Born:** 1943

**Known for:** Frequency partition,Line graphs, Degree sequences

**48. N. M. Singhi**

**Born:** 1949

**Known for:** Combinatorics and Graph Theory

**Sujatha Ramdorai**

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

**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.