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Who is India's no. 1 mathematician?

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India has produced many great mathematicians over centuries, and identifying the "No. 1 mathematician" can depend on the criteria used. Historically, some names stand out due to their significant contributions to mathematics. Here are a few of India's greatest mathematicians:

### 1. **Srinivasa Ramanujan (1887ā€“1920)**
Srinivasa Ramanujan is widely regarded as India's most famous and influential mathematician. He made substantial contributions to various areas of mathematics, including:
- **Number Theory**: Ramanujan made groundbreaking discoveries in partition functions, continued fractions, and infinite series.
- **Ramanujan's Conjectures**: These conjectures, such as the Ramanujanā€“Petersson conjecture, led to advances in algebraic geometry and modular forms.
- **Collaboration with G.H. Hardy**: Despite having little formal training, Ramanujan caught the attention of English mathematician G.H. Hardy, with whom he collaborated. Together, they worked on several important mathematical problems.
- **Ramanujan's Notebooks**: His famous notebooks, filled with thousands of results, continue to inspire and influence mathematicians to this day. Many of his formulas were later proven to be correct.

Ramanujan's intuitive understanding of mathematics was extraordinary, and his contributions were often described as being far ahead of his time. Despite his untimely death at the age of 32, his work remains a cornerstone in modern mathematics.

### 2. **Aryabhata (476ā€“550 CE)**
An ancient mathematician and astronomer, Aryabhata was one of the earliest to make significant contributions to Indian mathematics and astronomy. He is best known for:
- **Aryabhata's Approximation of Pi (Ļ€)**: He calculated the value of Ļ€ to an accuracy that was ahead of his time.
- **Place Value System and Zero**: Aryabhata's work laid the foundation for the modern place-value decimal system, which is one of Indiaā€™s most important contributions to world mathematics.
- **Trigonometry**: His work in trigonometry, including sine tables and approximations, was revolutionary for his era.

### 3. **Brahmagupta (598ā€“668 CE)**
Another highly influential mathematician of ancient India, Brahmagupta made groundbreaking contributions in:
- **Zero**: Brahmagupta was the first to treat zero as a number and define operations on zero.
- **Algebra**: He solved quadratic equations and introduced methods for solving linear equations, contributing to the early development of algebra.
- **Astronomy**: His work also extended to astronomy, where he made important observations about the motion of planets.

### 4. **Bhāskara II (1114ā€“1185 CE)**
Also known as Bhaskaracharya, Bhāskara II was a leading mathematician and astronomer of medieval India. His major work includes:
- **"Lilavati" and "Bijaganita"**: His works on arithmetic and algebra contain a range of advanced mathematical concepts, including solving quadratic equations, progressions, and combinations.
- **Differential Calculus**: He made early contributions to concepts that are now part of calculus, including an understanding of the idea of a derivative.

### 5. **Harish-Chandra (1923ā€“1983)**
A more modern mathematician, Harish-Chandra made significant contributions to:
- **Representation Theory and Lie Algebras**: He is regarded for his work in abstract algebra and harmonic analysis on semisimple Lie groups. His research had a profound impact on various fields in mathematics and theoretical physics.

### Conclusion
If we had to identify the "No. 1" mathematician in India based on global influence and recognition, **Srinivasa Ramanujan** would be the most widely acknowledged. His genius, ability to come up with complex mathematical formulas, and his significant contributions to number theory, analysis, and continued fractions make him one of the greatest mathematicians not only in India but globally.

However, names like Aryabhata, Brahmagupta, and Bhāskara II are equally important in Indian and global mathematical history. They laid the groundwork for mathematical ideas that are fundamental to todayā€™s world.
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Identifying India's "No. 1" mathematician is subjective and depends on the criteria used, such as contributions to the field, historical impact, or current influence. However, a few prominent figures stand out in Indian mathematics:

1. **Srinivasa Ramanujan (1887-1920)**: Often regarded as one of the greatest mathematicians of all time, Ramanujan made significant contributions to number theory, continued fractions, and infinite series. Despite having little formal training in mathematics, his intuitive grasp of complex mathematical concepts led to groundbreaking results. His work has influenced many areas of mathematics and continues to be highly regarded.

2. **Harish-Chandra (1923-1983)**: A renowned mathematician, Harish-Chandra made major contributions to representation theory and harmonic analysis on Lie groups. His work has had a lasting impact on both pure and applied mathematics. He was a recipient of the prestigious Shanti Swarup Bhatnagar Prize for Science and Technology.

3. **C. R. Rao (1920-)**: An eminent statistician and mathematician, C. R. Rao is known for his contributions to the field of statistics, including the CramƩr-Rao bound and Rao-Blackwell theorem. His work has had a profound impact on statistical theory and its applications.

4. **Manjul Bhargava (1974-)**: A contemporary mathematician who has made significant contributions to number theory, particularly in the areas of algebraic number theory and elliptic curves. Bhargava was awarded the Fields Medal in 2014, which is one of the highest honors a mathematician can receive.

5. **Narasimhan and Seshadri**: For their contributions to the theory of vector bundles and moduli spaces, the work of Narasimhan and Seshadri is also highly influential in the field of algebraic geometry.

Each of these mathematicians has made profound contributions in different areas, and their influence spans various subfields of mathematics. The designation of "No. 1" would depend on which aspects of their contributions one values most highly.
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