Aryabhata

History glossary

Topic: Gupta Empire and the Classical Age · NCERT: Class 7, Ch 7 "The Gupta Era: An Age of Tireless Creativity"; Class 12, Ch 3 "Kinship, Caste and Class - Early Societies"

Meaning

Aryabhata was a mathematician and astronomer of the Gupta period. He lived and worked at Kusumapura, near modern Patna, around 500 CE, and wrote the Aryabhatiya, dated to 499 CE [2]. He matters because he said the Earth spins on its own axis, he gave the true reason for eclipses, and he measured the length of the year very closely. Almost every later Indian mathematician wrote a commentary on his book, so it became the standard textbook [2].

Explanation

Background: why science grew in this age

The Gupta period (c. 300–600 CE) was a time of peace, stability and consolidation.
Older learning was collected and written down in a settled form.
Rulers and other wealthy people paid for learning and scholars.
Gupta science was useful science. Astronomy was needed to fix the calendar and the farming seasons.
Aryabhata worked in this setting at Kusumapura. Kusumapura was another name for the old capital city near Patna (Pataliputra).

The Aryabhatiya: its four parts

It is written in Sanskrit verse and dated to 499 CE. It has four parts [2]:
Gitika: basic tables
Ganita: mathematics
Kalakriya: reckoning of time
Gola: the sphere, meaning spherical astronomy (how the sky and the Earth work as round bodies)
The Ganita section has [2]:
rules for finding square roots and cube roots
a value of pi close to 3.1416
methods for solving quadratic equations and linear indeterminate equations (equations that have many possible whole-number answers)

His main ideas

The Earth spins on its own axis.
The stars seem to move from east to west every night.
Aryabhata said the stars are not moving. The round Earth is turning [2].
This turning is why we have day and night.
Most people then believed the sky moved and the Earth stood still, so this idea was far ahead of its time.
Length of the year.
He gave it as 365 days, 6 hours, 12 minutes and 30 seconds.
The modern value is 365 days, 5 hours, 48 minutes and 45 seconds.
The gap is only about 23 minutes, and he had no telescope.
Eclipses.
He said solar and lunar eclipses are caused by shadows.
They are not caused by demons swallowing the sun or the moon.
Other work. He estimated the size of the Earth. He also worked out methods for calculation and for solving equations.

Results: his lasting influence

Almost every later Indian mathematician wrote a bhasya (a formal, line-by-line commentary) on the Aryabhatiya [2].
This shows that the Aryabhatiya became the standard textbook of Indian mathematics and astronomy.
His work is one main reason some historians call the Gupta age the "classical age".

Time, place and evidence

Period: the Gupta age (c. 300–600 CE). Aryabhata was active around 500 CE, and the Aryabhatiya is dated to 499 CE [2].
Place: Kusumapura, near modern Patna, in Bihar [2].
Other scholars of the same age:
Varahamihira, an astronomer at Ujjayini (modern Ujjain, MP)
Kalidasa, the court poet
The Charaka Samhita and Sushruta Samhita (medical texts) were also given their final form in this period.
How we know about him:
mainly from his own text, the Aryabhatiya, which has survived
from the many bhasyas (commentaries) that later mathematicians wrote on it [2]
NCERT: Class 7, Ch 7 "The Gupta Era: An Age of Tireless Creativity".

Don't confuse with

Varahamihira: he worked at Ujjayini, not Kusumapura. He wrote the Brihat Samhita, an encyclopedia that covers astronomy, astrology, weather forecasting, architecture, town planning and farming. Aryabhata wrote the Aryabhatiya, which deals with mathematics and astronomy.
Aryabhatiya vs Brihat Samhita: the Aryabhatiya (499 CE) has four parts: Gitika, Ganita, Kalakriya and Gola [2]. The Brihat Samhita is a broad encyclopedia that also covers practical subjects.
Kusumapura vs Ujjayini: Kusumapura (near Patna, Bihar) is linked with Aryabhata. Ujjayini (Ujjain, MP) is linked with Varahamihira.
Aryabhata's year vs the modern year: Aryabhata gave 365 d 6 h 12 min 30 s. The modern value is 365 d 5 h 48 min 45 s. Do not mix up the two figures in an MCQ.

Prelims Hooks

Aryabhata worked at Kusumapura, near Patna. The Aryabhatiya is dated 499 CE [2].
The four sections of the Aryabhatiya, in order: Gitika → Ganita → Kalakriya → Gola [2].
Aryabhata's year length: 365 days 6 hours 12 minutes 30 seconds (about 23 minutes off the modern value).
The Ganita section gives pi close to 3.1416, rules for square and cube roots, and methods for quadratic and linear indeterminate equations [2].
A common trap: Aryabhata said the Earth turns on its axis and the stars only appear to move. He also said eclipses are caused by shadows, not by demons [2].
Pairs to remember: Aryabhata – Aryabhatiya – Kusumapura; Varahamihira – Brihat Samhita – Ujjayini.

Mains Points

Evidence for the "classical age" label.
Peace and stability allowed knowledge to be consolidated. The Aryabhatiya was written, Ayurveda was given its final form and Nalanda was founded.
The many later bhasyas show that Aryabhata's book became a lasting standard [2].
Balance: this learning was mostly elite, Sanskrit and court-centred. NCERT notes that only some historians use the "classical" label.
Reasoning over belief.
Aryabhata explained day and night by the Earth turning [2].
He explained eclipses by shadows, not myth.
This is useful for GS-I answers on Indian traditions of science and a scientific temper.
Science that was applied, not only theory.
His astronomy and timekeeping helped fix the calendar and the farming seasons.
His mathematics (roots, pi, equations) gave tools for calculation [2].
Use this in "ancient Indian knowledge systems" debates. Keep your claims to what the texts actually say.

Related concepts

Knowledge: science, letters, medicine, learning

Sources

1Class 7, Ch 7 "The Gupta Era: An Age of Tireless Creativity"; Class 12, Ch 3 "Kinship, Caste and Class - Early Societies" (primary)
2Aryabhatiya / Aryabhatabritannica.com · tier 3