History & Evolution of Indian Mathematics 📚

Prof Somesh Kumar reveals groundbreaking evidence about India's mathematical heritage from Harappan civilization to modern times. Discover how ancient Indian numeral systems became the foundation of global mathematics and learn about continuous mathematical traditions spanning 7000 years. Prof Kumar from IIT Kharagpur while exposing false narratives about mathematical origins demonstrates India's pivotal role in developing decimal place value systems. Essential viewing for students and scholars seeking comprehensive understanding of mathematical history.

*Key Points*
- Archaeological evidence of mathematical ratios in Harappan architecture
- Origin and global spread of modern numeral system from India
- Sanskrit numerical notation and place value concepts
- Continuous tradition from ancient to contemporary mathematics
- European and Arabic testimonies acknowledging Indian origins

*Concepts explored*
- Ganita mathematics history, Harappan civilization architecture, Indian numeral system origins, Sanskrit mathematical notation, place value decimal system, archaeological mathematical evidence, civilizational continuity, traditional knowledge systems, ancient urban planning, mathematical manuscripts

*Speaker*
Prof Somesh Kumar has research interests in the areas of Statistical Decision Theory & Inference. He has published more than 100 Research papers in international journals. He is an elected member of the International Statistical Institute, Netherlans & National Academy of Sciences, India. He received the Platinum Jubilee Lecture Award, Indian Science Congress Association in 2016. He also received Prof K.S. Rao best researcher award from Indian Society for Probability & Statistics, 2022. His video courses on Statistics & Probability are very popular. He has delivered more than 150 invited lectures/talks in various National & International Conferences, Symposia & Workshops.

*Topics covered*
00:00:00: Introduction and Speaker Background - Prof Somesh Kumar, IIT Kharagpur mathematician
00:03:45: Ancient Mathematical Evidence: Harappan civilization architectural ratios and geometric principles in urban planning
00:15:30: Weights and Measures: Progression systems in ancient Indian measurement standards and continuity with traditional units
00:22:00: Origin of Modern Numerals: Comprehensive evidence debunking false theories about numeral system origins
00:31:00: European and Arabic Testimonies: Historical quotes from Laplace, Fibonacci, Al-Biruni acknowledging Indian mathematical origins
00:45:00: Sanskrit Numerical Notation: Word-symbol systems in astronomical texts and place value concepts
00:54:00: Regional Variations: Diverse numeral forms across Indian subcontinent showing widespread mathematical literacy
01:02:00: Manuscript Evidence: Mathematical texts from 6th-15th centuries demonstrating continuous scholarly tradition
01:15:00: Audience Q&A: Discussion on enabling factors for mathematical development and contemporary contributions
01:27:00: Concluding Remarks: Emphasis on reading original sources and understanding continuous mathematical heritage

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