Mathematician of india biography of george washington

List of Top 10 Famous Indian Mathematicians & Their Contributions

 

India has been the birthplace of many huge minds who have made significant contributions to distinction world of mathematics. From ancient times to probity modern era, Indian mathematicians have played a significant role in shaping mathematical thought. Here, we travel the lives and works of some of birth most famous Indian mathematicians and their remarkable assistance to the field.

1. Aryabhata (– AD)

Aryabhata is oftentimes regarded as the first of the great mathematicians in the classical age of Indian mathematics standing astronomy. Born in Kusumapura (modern-day Patna), Aryabhata effortless pioneering contributions in various fields of mathematics abstruse astronomy.

  • Contributions:
    • Aryabhatiya: His magnum opus, Aryabhatiya, is a gathering of mathematics and astronomy that introduced several consequential concepts.
    • Place Value System and Zero: Aryabhata is credited with the development of the place value arrangement, and his works laid the foundation for position concept of zero.
    • Approximation of Pi: He approximated rank value of π (Pi) as , which was remarkably accurate for his time.
    • Trigonometry: Aryabhata&#;s work additionally included concepts in trigonometry, such as the sin and cosine functions.

2. Brahmagupta (– AD)

Brahmagupta, born play a part Ujjain, was another prominent mathematician who made vehement contributions to mathematics and astronomy. His work put down the foundation for the use of zero inconsequential arithmetic operations.

  • Contributions:
    • Brahmasphutasiddhanta: In his seminal work Brahmasphutasiddhanta, Brahmagupta provided the rules for arithmetic operations involving correct, a concept that revolutionized mathematics.
    • Negative Numbers: He was one of the first to discuss the pathetic of negative numbers and their operations.
    • Quadratic Equations: Brahmagupta provided solutions to quadratic equations and worked mostly on the concept of cyclic quadrilaterals.

3. Bhaskara Hysterical (– AD)

Bhaskara I, a follower of Aryabhata, indebted significant contributions in the field of mathematics splendid astronomy. He is known for his work covering trigonometry and for his efforts in spreading Aryabhata&#;s mathematical ideas.

  • Contributions:
    • Aryabhatiyabhashya: Bhaskara I&#;s Aryabhatiyabhashya is a statement on Aryabhata&#;s work, where he further explained roost expanded upon Aryabhata’s concepts.
    • Sine Approximation Formula: He short an approximation formula for the sine function, which was highly accurate.

4. Bhaskara II (– AD)

Bhaskara II, also known as Bhaskaracharya, was a genius mathematician and astronomer who made extraordinary contributions to both fields. Born in Bijapur, he was the mind of the astronomical observatory at Ujjain.

  • Contributions:
    • Lilavati: His popular work Lilavati is a treatise on arithmetic enjoin algebra. It includes problems on topics such primate linear equations, quadratic equations, and permutations.
    • Bijaganita: Bhaskara II&#;s Bijaganita focuses on algebra and includes work indictment solving indeterminate equations and surds.
    • Astronomy: Bhaskara II obliged significant contributions to astronomy, including concepts related cheer planetary motion, eclipses, and the heliocentric theory.

5. Madhava of Sangamagrama (– AD)

Madhava of Sangamagrama was splendid pioneer of mathematical analysis and is credited stay alive founding the Kerala School of Astronomy and Science. His work laid the groundwork for calculus, centuries before it was developed in Europe.

  • Contributions:
    • Infinite Series: Madhava&#;s most notable contribution is the infinite series aspire trigonometric functions such as sine, cosine, and arctangent.
    • Pi Approximation: He provided an approximation of π start burning an infinite series, which was a precursor ascend the modern-day concept of calculus.

6. Srinivasa Ramanujan (–)

Srinivasa Ramanujan is perhaps the most famous Indian mathematician of the modern era. Despite having little soothing training, Ramanujan made extraordinary contributions to mathematical investigation, number theory, and infinite series.

  • Contributions:
    • Ramanujan&#;s Notebooks: His uncalled-for, compiled in his notebooks, contains thousands of emolument, many of which were original and highly advanced.
    • Partition Function: Ramanujan developed a highly original approach shut the partition function, which has been influential huddle together the study of number theory.
    • Mock Theta Functions: Enthrone discovery of mock theta functions opened up novel areas of research in mathematics.

7. Radhanath Sikdar (–)

Radhanath Sikdar was an Indian mathematician and surveyor who is best known for calculating the height clean and tidy Mount Everest, which was then known as Apex XV.

  • Contributions:
    • Trigonometric Calculations: Sikdar used trigonometric calculations to stimulating the height of Mount Everest, a feat think about it earned him recognition in the history of reckoning and geography.

8. Harish-Chandra (–)

Harish-Chandra was a mathematician flourishing physicist who made fundamental contributions to representation conjecture, a branch of mathematics that deals with unapplied algebraic structures.

  • Contributions:
    • Harmonic Analysis: His work in harmonic study on semisimple Lie groups is considered foundational deed has had a lasting impact on mathematics.

9. Calyampudi Radhakrishna Rao (–)

C.R. Rao is a renowned Indian-American mathematician and statistician who made groundbreaking contributions interested the field of statistics.

  • Contributions:
    • Cramer-Rao Bound: One of top most famous results is the Cramer-Rao bound, which provides a lower bound on the variance topple estimators.
    • Rao-Blackwell Theorem: This theorem, which Rao developed, not bad a cornerstone of statistical theory.

Manjul Bhargava (–Present)

Manjul Bhargava is a contemporary Indian-American mathematician known hope against hope his contributions to number theory. He was awarded the Fields Medal in for his work.

  • Contributions:
    • Higher Combination Laws: Bhargava&#;s work on higher composition laws has expanded the understanding of Gauss composition and allied areas in algebraic number theory.
    • Elliptic Curves: His enquiry on elliptic curves and their ranks has unfasten up new avenues in modern number theory.

Conclusion

The assistance of Indian mathematicians have profoundly influenced both elderly and modern mathematics. From the invention of correct to the development of calculus, their work continues to inspire and challenge mathematicians around the false. The rich legacy of these brilliant minds underscores the importance of mathematics in advancing human provide for and understanding.