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Study Guide · General Knowledge

5 Famous Indian Mathematicians and Their Contributions

India has produced some of history's greatest mathematicians — from ancient scholars who invented zero and algebra to modern geniuses who solved century-old problems. Here are 5 most famous Indian mathematicians.

Question (Click to Flip)

What is the Ramanujan Number?

Answer

1729 is called the Hardy-Ramanujan Number. When Hardy visited the ill Ramanujan in a taxi numbered 1729, Ramanujan immediately noted it was the smallest number expressible as the sum of two cubes in two ways: 1³+12³ = 9³+10³ = 1729.

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Key Facts

Ramanujan had almost no formal university training in mathematics. He taught himself from a single textbook: 'A Synopsis of Elementary Results in Pure and Applied Mathematics' by G.S. Carr — and went beyond it to discover entirely new branches of mathematics.

1. Aryabhata (476–550 AD)

Aryabhata was India's first great mathematical astronomer. Writing at just 23 years old, his masterwork Aryabhatiya contained revolutionary ideas:

  • Proposed that Earth rotates on its axis (not the stars moving around Earth) — 1000 years before Copernicus!
  • Calculated π (pi) ≈ 3.1416 with remarkable accuracy
  • Developed the concept of zero as a positional placeholder
  • Gave formulas for areas of triangles and circles
  • Developed the concept of sine (jya) in trigonometry

Aryabhata is so revered that India named its first satellite 'Aryabhata' (1975) after him.

2. Brahmagupta (598–668 AD)

Brahmagupta was the first mathematician to treat zero as a number with defined arithmetic rules (not just a placeholder):

  • Defined rules: n + 0 = n, n × 0 = 0
  • Worked with negative numbers centuries before Europe
  • Gave the Brahmagupta formula for area of a cyclic quadrilateral
  • Made major advances in Diophantine equations (number theory)
  • His book Brahmasphutasiddhanta was translated into Arabic and profoundly influenced Islamic mathematics

3. Bhaskara II (1114–1185 AD)

Bhaskaracharya (Bhaskara the Second) was the head of the astronomical observatory at Ujjain. He wrote:

  • Lilavati (named after his daughter) — a comprehensive arithmetic text
  • Bijaganita — the first systematic work on algebra
  • Discovered preliminary concepts of differential calculus (rate of change, infinitesimals) 500 years before Newton and Leibniz!
  • Solved Pell's equation (a complex number theory problem)

4. Srinivasa Ramanujan (1887–1920)

Ramanujan is considered one of the greatest mathematical geniuses in history — self-taught, with almost no formal higher education.

  • Wrote 3,900+ mathematical formulas, theorems, and identities — most proved correct later
  • Discovered the Ramanujan-Hardy number 1729 (the smallest number expressible as sum of two cubes in two ways: 1³+12³ = 9³+10³)
  • Developed partition theory and infinite series for π
  • Invited to Cambridge University by G.H. Hardy; became the youngest Indian Fellow of the Royal Society
  • Died at only 32 — leaving behind notebooks that mathematicians are still investigating today

5. Shakuntala Devi (1929–2013)

Shakuntala Devi was called the 'Human Computer' for her extraordinary ability to perform complex mental calculations faster than a computer:

  • In 1980, she mentally multiplied two 13-digit numbers (7,686,369,774,870 × 2,465,099,745,779) in 28 seconds — faster than a Univac computer!
  • This feat was entered in the Guinness Book of World Records (1982)
  • Wrote popular books on mathematics, puzzles, and astrology
  • Was an advocate for making mathematics fun and accessible

Questions and Answers

What is the Ramanujan Number?+

**1729** is called the Hardy-Ramanujan Number. When Hardy visited the ill Ramanujan in a taxi numbered 1729, Ramanujan immediately noted it was the smallest number expressible as the sum of two cubes in two ways: 1³+12³ = 9³+10³ = 1729.

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