Bharatiya Ganita 101

Online Course on Indian Mathematics

15 Hr Course

Fee: Rs. 1000

Age Group: 16 + years

Start Date: As soon as you register

End Date: 4 months (120 days)

Mode: Self Paced Recorded Videos and Quizzes

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About the Course

Various civilizations around the world have contributed their original thought processes to advance humanity’s collective knowledge. The subject of Bhāratīya Gaṇita refers to a particular domain that helps us understand how the knowledge tradition in India advanced in the field of mathematics, blossoming in the cultural and scientific context of the Indian ethos. The history of Bhāratīya Gaṇita spans all the way from the Vedic era to until a few centuries back, where this knowledge tradition thrived in its own unique way and made significant breakthroughs. 

There is indeed a treasure trove of mathematical ideas, pedagogical tools and nuanced reasoning in Indian mathematics that can certainly augment and elevate education of mathematics. One can find inspiration to overcome apprehensions towards math and go on to enjoy mastering various techniques and approaches unique to Bhāratīya Gaṇita. The genesis of various mathematical ideas, concepts, demonstrative proofs, branching of divisions and advanced reasoning of ancient Indian mathematicians are presented in this course. Moreover, children would rejoice in knowing how scholarly works of mathematics were composed as lucid verses in Sanskrit.

Course Objectives:

• Understanding the mathematical heritage of Bharat and the key mathematical breakthroughs pioneered in the global development of mathematics

• Developing conceptual clarity by studying Indian mathematical constructs

• Understanding the monumental contributions of Bodhayana, Aryabhata, Bhaskaracharya, Narayana Pandita, Madhava, Nilakantha Somayaji and many more Indian mathematicians in order to gain inspiration from their methodologies, problem-solving approach and demonstrative proofs

• Drawing concepts and pedagogical tools from Bharatiya Ganita that are highly relevant to aid the cognitive development of learners in current times as well

  
  

  Topics

• History of Indian mathematical development

• Geometry in Shulbasutras

• Mathematics in Chandas-Shastra

• Decimal Place Value Notations

• Aryabhata’s excellence in math

• Foundations of Indian Trigonometry

• Bhaskaracharya’s excellence in math

• Magic Squares and other contributions of Narayana Pandita

• Kerala school of Mathematics and Astronomy

• Conclusion and Reflection

  • Impact of Bharatiya Ganita on pedagogy

  • Building practical demonstrations 

  • Possibilities in Algorithmic implementations

  • Scope in Research and Teaching