Ancient Indian Mathematicians
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Ancient Indian Mathematicians

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Questions and Answers

What significant contribution did Aryabhata make to mathematics, besides introducing the concept of zero and the decimal system?

He calculated the value of pi (π) and the length of the solar year.

What is the name of the treatise written by Brahmagupta that covered topics like algebra, geometry, and astronomy?

Brahmasphuta Siddhanta

What is the name of the comprehensive treatise on mathematics written by Mahavira?

Ganita Sara Samgraha

What is the name of the astronomical treatise written by Varahamihira that summarized the five major astronomical systems of his time?

<p>Pancha Siddhantika</p> Signup and view all the answers

What is the name of the Ayurvedic text written by Charaka that discussed anatomy, physiology, and pharmacology?

<p>Charaka Samhita</p> Signup and view all the answers

What is the name of the treatise written by Sushruta that described surgical procedures, including cataract surgery and rhinoplasty?

<p>Sushruta Samhita</p> Signup and view all the answers

What is the central concept introduced by Nagarjuna in the Madhyamaka school of Mahayana Buddhism?

<p>The concept of 'emptiness' (shunyata)</p> Signup and view all the answers

What philosophical school did Adi Shankara found, which advocated for non-dualism?

<p>Advaita Vedanta</p> Signup and view all the answers

What are the two major concepts introduced by Gautama Buddha in his teachings?

<p>The Four Noble Truths and the Eightfold Path</p> Signup and view all the answers

What is the name of Aryabhata's astronomical model that proposed that the Earth and other planets revolve around the Sun?

<p>Heliocentric model of the universe</p> Signup and view all the answers

Study Notes

Ancient Indian Scholars

Mathematicians

  • Aryabhata (476 CE): Known for his work "Aryabhatiya", which introduced the concept of zero and the decimal system. He also calculated the value of pi (π) and the length of the solar year.
  • Brahmagupta (598 CE): Authored "Brahmasphuta Siddhanta", which covered topics like algebra, geometry, and astronomy. He is credited with discovering the concept of zero and developing the Hindu-Arabic numeral system.
  • Mahavira (9th century CE): Wrote "Ganita Sara Samgraha", a comprehensive treatise on mathematics that included solutions to linear and quadratic equations.

Astronomers

  • Aryabhata (476 CE): Also made significant contributions to astronomy, including calculating the Earth's circumference and proposing a heliocentric model of the universe.
  • Varahamihira (505 CE): Authored "Pancha Siddhantika", a treatise that summarized the five major astronomical systems of his time. He also made accurate predictions about solar and lunar eclipses.

Physicians

  • Charaka (4th century CE): Known for his work "Charaka Samhita", a comprehensive Ayurvedic text that discussed anatomy, physiology, and pharmacology.
  • Sushruta (6th century CE): Authored "Sushruta Samhita", a treatise that described surgical procedures, including cataract surgery and rhinoplasty.

Philosophers

  • Gautama Buddha (563 BCE - 483 BCE): Founder of Buddhism, who introduced the concept of the Four Noble Truths and the Eightfold Path.
  • Nagarjuna (2nd century CE): Founded the Madhyamaka school of Mahayana Buddhism, which emphasized the concept of "emptiness" (shunyata).
  • Adi Shankara (788 CE - 820 CE): A prominent Advaita Vedanta philosopher who advocated for non-dualism and wrote commentaries on the Upanishads and the Bhagavad Gita.

Ancient Indian Scholars

Mathematicians

  • Aryabhata (476 CE) introduced zero and the decimal system in his work "Aryabhatiya" and calculated the value of pi (π) and the length of the solar year.
  • Brahmagupta (598 CE) authored "Brahmasphuta Siddhanta", covering algebra, geometry, and astronomy, and discovered the concept of zero and developed the Hindu-Arabic numeral system.
  • Mahavira (9th century CE) wrote "Ganita Sara Samgraha", a comprehensive treatise on mathematics that included solutions to linear and quadratic equations.

Astronomers

  • Aryabhata (476 CE) calculated the Earth's circumference and proposed a heliocentric model of the universe.
  • Varahamihira (505 CE) authored "Pancha Siddhantika", summarizing five major astronomical systems, and made accurate predictions about solar and lunar eclipses.

Physicians

  • Charaka (4th century CE) wrote "Charaka Samhita", a comprehensive Ayurvedic text discussing anatomy, physiology, and pharmacology.
  • Sushruta (6th century CE) authored "Sushruta Samhita", describing surgical procedures, including cataract surgery and rhinoplasty.

Philosophers

  • Gautama Buddha (563 BCE - 483 BCE) founded Buddhism, introducing the Four Noble Truths and the Eightfold Path.
  • Nagarjuna (2nd century CE) founded the Madhyamaka school of Mahayana Buddhism, emphasizing the concept of "emptiness" (shunyata).
  • Adi Shankara (788 CE - 820 CE) advocated for non-dualism and wrote commentaries on the Upanishads and the Bhagavad Gita as a prominent Advaita Vedanta philosopher.

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Test your knowledge of ancient Indian mathematicians, including Aryabhata, Brahmagupta, and Mahavira, who made significant contributions to mathematics, algebra, and astronomy.

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