Biography 3 indian mathematicians and their contributions

Baudhayana (800 BCE)

- Books: Ancient Indian mathematical texts like the ShrautaSutras and Sulba Sutras contain early geometric theories and concepts.

• Notably, the Baudhayana Sulba Sutra (today known as the Pythagorean theorem) was formulated around 1000 BC, centuries before Pythagoras.

- Wrote commentaries on Sanskrit grammar and the Sulba Sutras.

- His work on geometry and Pythagorean triples guided later mathematicians.

Pingala (500 BCE)

- Developed the binary number system and Pascal's triangle.

- The former proved fundamental to the development of modern computing, while the latter laid the foundation for combinatorics.

Aryabhata (476-529 CE)

- The most influential mathematician from ancient India who transformed astronomy and mathematics.

- The computed value of Pi(π) accurately and properties of trigonometric functions like a sine. 

• This improved astronomical calculations.

- Derived rotation of the Earth on its axis and caused lunar and solar eclipses, dispelling prevailing myths.

- Invented one of the first decimal number systems and algorithms for solving algebraic equations.

• His numeral system and place value system aided complex calculations.

- Determined the circumference of the earth within 99 miles of actual value through innovative techniques.

- Book: Aryabhatiya (Consolidated Indian mathematics in his seminal work )

• It contains astronomy models and arithmetic/algebra methods.

- Eminent astronomer who published major encyclopedias on astronomy, astrology and other sciences.

- Books: Brihat Samhita and Pancha Siddhantika

- Contributions: combinatorics, predicting eclipses, trigonometry and mathematical astrology.

- Pioneer of the East Indian school of astronomy that flourished after Aryabhata.

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Indian mathematicians have made a number of contributions to mathematics that have significantly influenced scientists and mathematicians in the modern era. One of such works is Hindu numeral system which is predominantly used today and is likely to be used in the future.

This is a dynamic list and may never be able to satisfy particular standards for completeness. You can help by adding missing items with reliable sources.

Ancient (Before 320 CE)

Classical (320 CE–520 CE)

Early Medieval Period (521 CE–1206 CE)

Late Medieval Period (1206–1526)

13th Century

14th century

Navya-Nyāya (Neo-Logical) School

Kerala School of Mathematics and Astronomy

15th century

Kerala School of Mathematics and Astronomy

Navya-Nyāya (Neo-Logical) School

Early Modern Period (1527– 1800)

16th Century

Kerala School of Mathematics and Astronomy

Golagrama school of astronomy

17th Century

Golagrama school of astronomy

18th Century

Kerala School of Mathematics and Astronomy

Modern (1800–Present)

19th century

20th century

See also

References

External links

Baudhayana

Approximation of the square root of 2. He proposed the he statement version of the Pythagorean Theorem.

Katyayana

Varttika, Vyakarana, later Sulba Sutras.

Pingala

Matrameru, binary numeral system, arithmetical triangle.

Aryabhata

Aryabhaṭiya, Arya-siddhanta

Varahamihira

Pancha-Siddhāntikā, Brihat-Samhita, Brihat Jataka

Yativrsabha

Wrote of the book Tiloyapannatti. It gives various units for measuring distances and time. Different concepts about infinity.

Brahmagupta

Zero, Brahmagupta's theorem, Brahmagupta's identity, Brahmagupta's problem.

Bhaskara I

Sine approximation formula.

Shridhara

Rule for finding the volume of a sphere.

Mahavira

Highly approach to algebra. Emphasis on developing the techniques that are necessary to solve algebraic problems.

Pavuluri Maulana

Translated Ganitasara Samgraham into Telugu as Sara Sangraha Ganitamu.

Bhaskara II

Principles of differential calculus. Application to solve the astronomical problems.

Narayana Pandit

Arithmetical treatise also known as Ganita Kaumudi. The Algebraic treatise called Bijganita Vatamsa.

Madhava of Sangamagrama

Discovery of power series expansions of trigonometric functions; Notable works include Golavada, Madhyamanayanaprakara, Venvaroha.

Parameshvara

He discovered the drk-ganita. It is a mode of astronomy observations.

Nilakantha Somayaji

Notable works include Golasara, Candrachayaganita, Aryabhatiya-bhashya, Tantrasamgraha, Raghunatha Siromani.

Shankara Variyar

Notable works include Yukti-dipika, Laghu-vivrti, Kriya-kramakari.

Jyeshtadeva

Known for authorship of Yuktibhāṣā and Drkkarana.

Munishvara

Produced accurate sine tables.

Kamalakara

He proposed the combination of traditional Indian astronomy with Aristotelian physics and Ptolemaic astronomy.

Jagannatha Samrat

Notable works i

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

1. Aryabhata (476–550 AD)

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

• Contributions:
  • Aryabhatiya: His magnum opus, Aryabhatiya, is a compilation of mathematics and astronomy that introduced several significant concepts.
  • Place Value System and Zero: Aryabhata is credited with the development of the place value system, and his works laid the foundation for the concept of zero.
  • Approximation of Pi: He approximated the value of π (Pi) as 3.1416, which was remarkably accurate for his time.
  • Trigonometry: Aryabhata’s work also included concepts in trigonometry, such as the sine and cosine functions.

2. Brahmagupta (598–668 AD)

Brahmagupta, born in Ujjain, was another prominent mathematician who made substantial contributions to mathematics and astronomy. His work laid the foundation for the use of zero in arithmetic operations.

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