IKS_mathematics__ Indian mathematician’s

Indian Knowledge System class ppt

1. Ancient Indians: Tryst with Mathematics

2. Introduction
▶The Indian subcontinent has a rich and extensive history of
mathematical development, dating back over 5,000 years.
▶Indian mathematics influenced other parts of the world,
including China, Southeast Asia, the Middle East, and Europe.
▶Key contributions include the concept of zero, advancements
in geometry, arithmetic, binary mathematics, algebra, negative
numbers, trigonometry, and calculus.

3. The Decimal Place Value System
▶One of the most significant mathematical developments from
India.
▶Revolutionized mathematics by providing a simple yet
powerful way to represent large numbers and perform
calculations efficiently.
▶Despite its utility, European mathematicians were initially
reluctant to adopt principles like negative numbers.
▶This resistance highlights the Eurocentric bias that historically
overshadowed Indian contributions.

4. Indian Mathematical Heritage and Ramanujan
▶India’s mathematical heritage is profound and enduring.
▶The pinnacle is often considered to be the work of Srinivasa
Ramanujan in the 20th century CE.
▶Ramanujan’s contributions continue to influence various fields
of mathematics to this day.

5. Vedic Mathematics and the Syena-citi
▶Ancient Indian mathematicians tackled intricate mathematical
problems during the Vedic age.
▶Vedic altars required deep understanding of complex
geometrical shapes and mathematical principles.
▶Over 70 different altar designs were recorded, including shapes
resembling tortoises, falcons, and chariot wheels.
▶These constructions involved rigorous mathematical
constraints and understanding.

6. The Syena-citi: A Mathematical Marvel
▶The Syena-citi is a falcon-shaped altar with distinct parts:
head, body, wings, and tail.
▶Constructed using 200 bricks of different shapes and sizes.
▶Required precise calculations and deep understanding of
geometry to ensure all components fit together without gaps
or overlaps.
▶Exemplifies the advanced level of mathematical knowledge in
ancient India.

7. Unique Aspects of Indian Mathematics
▶Seamless integration of mathematics with literature and logic.
▶Mathematics as a part of daily life, embedded in various
activities.
▶Use of s¯utras for retaining complex concepts, simplifying and
conveying intricate information.
▶A continuous tradition of mathematical thought across the
subcontinent.
▶An algorithmic and constructive approach to solving
real-world problems.

8. Conclusion
▶Indian mathematics is remarkable for its technical
achievements and integration with other intellectual pursuits.
▶The mathematical legacy of ancient India remains a crucial
chapter in the history of mathematics.
▶Despite Eurocentric biases, Indian mathematicians’
contributions have had a profound impact on global
mathematical heritage.