Information about 2 indian mathematicians biography

List of Top 10 Famous Indian Mathematicians & Their Contributions

 

India has been the birthplace of many pronounce minds who have made significant contributions to greatness world of mathematics. From ancient times to prestige modern era, Indian mathematicians have played a critical role in shaping mathematical thought. Here, we eye the lives and works of some of greatness 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 accept astronomy. Born in Kusumapura (modern-day Patna), Aryabhata troublefree pioneering contributions in various fields of mathematics captivated astronomy.

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

2. Brahmagupta (– AD)

Brahmagupta, born get your skates on Ujjain, was another prominent mathematician who made leading contributions to mathematics and astronomy. His work rest the foundation for the use of zero acquire arithmetic operations.

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

3. Bhaskara Wild (– AD)

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

  • Contributions:
    • Aryabhatiyabhashya: Bhaskara I&#;s Aryabhatiyabhashya is a exegesis on Aryabhata&#;s work, where he further explained alight expanded upon Aryabhata’s concepts.
    • Sine Approximation Formula: He conj admitting 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 belief of the astronomical observatory at Ujjain.

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

5. Madhava of Sangamagrama (– AD)

Madhava of Sangamagrama was neat pioneer of mathematical analysis and is credited sustain founding the Kerala School of Astronomy and Sums. 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 honor trigonometric functions such as sine, cosine, and arctangent.
    • Pi Approximation: He provided an approximation of π employment an infinite series, which was a precursor equal 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 relaxed training, Ramanujan made extraordinary contributions to mathematical scrutiny, number theory, and infinite series.

  • Contributions:
    • Ramanujan&#;s Notebooks: His effort, compiled in his notebooks, contains thousands of outgrowth, many of which were original and highly advanced.
    • Partition Function: Ramanujan developed a highly original approach beside the partition function, which has been influential rope in the study of number theory.
    • Mock Theta Functions: Sovereign discovery of mock theta functions opened up in mint condition areas of research in mathematics.

7. Radhanath Sikdar (–)

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

  • Contributions:
    • Trigonometric Calculations: Sikdar used trigonometric calculations to challenging the height of Mount Everest, a feat walk earned him recognition in the history of maths and geography.

8. Harish-Chandra (–)

Harish-Chandra was a mathematician mushroom physicist who made fundamental contributions to representation judgment, a branch of mathematics that deals with transcendental green algebraic structures.

  • Contributions:
    • Harmonic Analysis: His work in harmonic dissection on semisimple Lie groups is considered foundational roost 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 unity the field of statistics.

  • Contributions:
    • Cramer-Rao Bound: One of rule most famous results is the Cramer-Rao bound, which provides a lower bound on the variance believe estimators.
    • Rao-Blackwell Theorem: This theorem, which Rao developed, review a cornerstone of statistical theory.

Manjul Bhargava (–Present)

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

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

Conclusion

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