5000 Years of Indian Mathematics: From Ancient Vedas to Ramanujan's Revolutionary Formulas
Автор: Sangam Talks
Загружено: 2024-01-13
Просмотров: 10253
Описание:
Dr. Raj Vedam reveals groundbreaking evidence about India's 5000-year mathematical heritage spanning from Vedic times to modern innovations. Discover how ancient Indian mathematicians developed Pi calculations, infinite series, and combinatorial mathematics millennia before the West, while Dr. Vedam challenges conventional dating through archaeological evidence. Essential viewing for students, researchers, and anyone interested in reclaiming India's scientific legacy.
Key Points:
Ancient Indian mathematical innovations from Harappan civilization to Ramanujan
Archaeological evidence challenging Western chronology of Indian mathematics
Vedic mathematical concepts including zero, infinity, and place value systems
Scientific methodology in ancient Indian knowledge systems
Revolutionary contributions of Madhava, Aryabhata, and classical mathematicians
Concepts explored: Vedic mathematics, Sulba Sutras, ancient astronomy, archaeological dating, Indian numerals, mathematical proofs, combinatorics, infinite series, Pi calculations, Bakshali manuscript, Harappan mathematics, traditional knowledge systems, scientific methodology, historical revisionism
About the Speaker:
Raj Vedam holds a doctorate degree in Electrical Engineering with many years of multi-disciplinary experience, and has developed a strong research interest in the history of sciences, mathematics and technology. His research shows unacknowledged but significant contributions of ancient Indians to sciences and math, impacting several civilizations over different periods of time. While Western texts on the subject enforce a parochial narrative sourcing all sciences and math from ancient Greece or Rome or Egypt, Raj Vedam presents contrary facts and evidence to show their indebtedness to the Indian civilization. He has presented his findings in over 200 public talks, several teacher training workshops, several research publications, and offers two courses on the same at Hindu University of America.
Link for Talk on Indian Astronomy : • Видео
Topics Covered:
00:00:09: Introduction to Indian Mathematics and Astronomy Connection
00:01:30: Pi Development: From Baudhayana (3000 BCE) to Ramanujan's Fast Series
00:02:45: Mathematical Series Evolution: Aryabhata to Ramanujan's Divergent Series
00:03:30: Combinatorial Mathematics: Pingala's Binary Systems to Partition Functions
00:06:10: Applied Mathematics Process in Ancient Indian Scientific Method
00:07:00: Archaeological Evidence: Harappan Standardization and Geometric Principles
00:08:15: Vedic Mathematical Concepts: Place Value, Powers of Ten, Zero Understanding
00:10:30: Ancient Instrumentation: Rishi Atri's Eclipse Prediction Methods (4202 BCE)
00:11:45: Altar Mathematics: Geometric Construction Requiring Advanced Triangle Knowledge
00:13:17: Infinity Concepts in Ancient Indian Philosophy and Jain Mathematics
00:14:30: Sulba Sutra Mathematicians: Baudhayana, Apastamba, Manava Timeline Analysis
00:19:52: Place Value Systems: India vs Babylon, Egypt, Greece Comparison
00:20:44: Evolution of Indian Numerals: Brahmi to Modern International System
00:22:32: Bakshali Manuscript: Carbon Dating Evidence and Commercial Mathematics
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