Jain Mathematics
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2 Credits
*(T&C Apply) Credits applicable only for Undergraduate and Postgraduate students enrolling for SIKSHA courses through academic institutions based in India.
- UG
- Foundation, Upcoming Courses
(GST additional)
About The Course
Ancient Indian Wisdom has a potential of problem solving and decision making. This course helps learner in getting awareness from the Indian ancient insights. The work of Jain Acharyas in the field of mathematics has potential of future research. By carefully examining and critically analysing ancient Jain texts, students could gain new insights into scientific principles and potentially contribute to the advancement of knowledge in various fields.
Syllabus
- Module 1 - Introduction - History of Mathematics
- • - Indian Mathematics
- • - World Mathematics
- • - Jainism : An Ancient Wisdom
- • - Ages of Indian Mathematics with special reference to Jain Age (500 B.C. to 6th century A.D.)
- • - Schools of Jain Mathematics :- Bihar, Ujjain, Mysore (South India)
- • - Specialities of Jain Mathematics
- Module 2 - Jain Sources of Mathematics - Ganit Karana-anuyog (Division of Jain Texts, which are focused on Mathematics)
- • - Mathematics in Jain Agamas
- • - Mathematics in Tilloypanniti
- • - Mathematics in Dhavala.
- • - Mahavira - Prominent Jain Scholar of Mathematics
- • - Writing of current writers on Jain Mathematics
- • - Branch of Logic in Jainism (Deductive and Inductive)
- Module 3 - Specialities of Jain Mathematics (Basic) - Place Value
- • - Indices
- • - Logarthims
- • - Fractional - Manipulation
- • - Value of Pie
- • - Permutation and Combinations
- • - Mensuration
- Module 4 - Specialities of Jain Mathematics (Advance) - Number System ( Enumerable, Innumerable, Infinite)
- • - Divisions of Infinite
- • - Calculation of Areas
- • - Calculation of Time
- • - Analytical Methods
- Module 5 - Jain Astronomy and Cosmology - Introduction and Technical Terms
- • - Source Materials in Vedic and Jain traditions
- • - Cosmological Concepts
- • - Astronomical Concepts
- • - Calendrical Yug System
- • - Eclipse Theory and Jain Perspective on it.
More Information
- Learning Objectives
- • Bridging Gaps: It could bridge the gap between ancient Jain philosophy and modern mathematical interpretations, which will increase a deeper understanding of mathematical principles across different time periods.
- • Historical Context: It could provide valuable historical context for the development of mathematical thought, showing how some modern mathematical concepts may have roots in ancient Jain texts.
- • New Insights: Examination of ancient Jain texts can inspire new research directions and innovative solutions to modern problems.
- Intended Outcomes
- • Problem-solving: Applying ancient Jain knowledge to contemporary mathematical challenges could lead to novel approaches and breakthroughs in various fields.
- • Interdisciplinary Learning: The course would encourage interdisciplinary learning by connecting mathematical principles with ancient indian literature.
- • Analytical & Critical Thinking: Students would develop analytical and critical thinking skills by analysing ancient texts, evaluating mathematical claims, and applying knowledge to real-world situations.
