The Gupta Empire was a powerful Indian empire that existed from the 3rd to 6th centuries CE and covered much of northern India. This period is considered the Golden Age of India due to advanced developments in fields like mathematics, astronomy, and medicine that surpassed other parts of the world. Notable rulers like Chandragupta I, Samudragupta, and Chandragupta II helped the empire reach its zenith. Indian scholars made many significant contributions during this time, such as Aryabhata's foundational work in mathematics and the decimal system through texts like the Aryabhatiya. Later mathematicians like Brahmagupta and astronomers like Varahamihira expanded on these foundations in their own works

2. Gupta Empire
The Gupta Empire was an ancient Indian empire which existed from the
mid-to-late 3rd century CE to 543 CE. At its zenith, from approximately 319 to 467 CE,
it covered much of the Indian subcontinent.[3] This period is considered as the
Golden Age of India by historians.[4][note 1] The ruling dynasty of the empire was
founded by the king Sri Gupta; the most notable rulers of the dynasty were
Chandragupta I, Samudragupta, and Chandragupta II alias Vikramaditya.

3. >India had much advanced knowledge in the fields of mathematics
, astronomy, and medicine during this period in comparison to
any other country in the world.
>Arabs borrowed Indian knowledge of science and technology
then it was taken by the western world from them .

4. When we talk about mathematics only one name
came in our mind ie., ARYABHATTA
Aryabhata, a great mathematics, wrote the book
‘Aryabhatiya’ in Kusumpura (Pataliputra) at the age of 23 years.
Aryabhatiya is divided into four parts and the most important
features of Aryabhata's mathematical system was the unique
system of notation. It is based on the decimal place-value system
unknown to other ancient people.

5. Aryabhata explained various principals of geometry, an area of a
triangle, the area of circle and the theorem relating to rectangles.
Brahmagupta was also a famous mathematician. He wrote ‘
Brahmsiddhanta’ in A.D. 628. He developed rules for operating
with negative qualities and with zero. He began to apply
Algebra to astronomical problems.
Jyotisa was an ancient term used for astronomy and astrology.
Varahamihira wrote ‘Panchasiddhantika in A.D. 505.
He was á popular person in the court of Chandragupta II.
Panchasiddhantika consisted five works (siddhantas),
which is popular as
Paitamaha, Romaka, Paulisa, Vasishtha, and Surya.
The Suryasiddhanta is the most important and complete work on
the astronomy of the period.
Varahamihira wrote Brihatsamhita. This is considered as an
encyclopedic work on astrology.
Varahamihira's son, Prithuyashas also wrote a book on astronomy in
about A.D. 600, named as Harashatpanchashika.