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India in the Making of Europe. Focus on the Practical . Not on Spiritual Nor on straight exploitation and concentration of Wealth in Britain But on the Application in Europe of Indian Mathematics, Science, technology and Socio-Political Ideas. Geographical Definitions of India and Europe.
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Focus on the Practical • Not on Spiritual • Nor on straight exploitation and concentration of Wealth in Britain • But on the Application in Europe of Indian Mathematics, Science, technology and Socio-Political Ideas.
Geographical Definitions of India and Europe • India Easy • Europe More Difficult
‘Europe’ as Cultural Entity • Created by Islam. • Byzantium and Western Europe Two largest fragments • Fancy Name For Christendom
Three Gifts • Amir Khusro • Chess • Panchatantra (Fables) • (Arabic)Numbers
Mathematics • Greek Disaster • Mesopotamian and Egyptian superior numbers, possibility of fractions and irrationals. • Platonic (Euclidian) geometry semi-religious, hostility to empiricism. • Cult of “Proof” axioms, deduction. • Indian drew on Greek but also on Mesopotamian “position.”
Indian (Arabic) Numbers • Indian invention of zero • Al Khwarizim,780-850 Algebra • Egypto-Greek Geometry, • Arabic Algebra • Aral Sea, Uzbekistan • Fibonacci • Christian Resistance to “Infidel” numbers
Indian Astronomy, Trigonometry • Ptolemy 2nd Century ? • Aryabhatta 3rd Century • Bhaskara (I) 6th Century • Origin of “sine” • Sanskrit Jya-ardha (Chord half) • Jya Arabic jiba/jaib “bay” Latin sinus
Indian Mathematical Tradition • Bhaskara II 12th Century • Decline After Muslim Conquest • Kerala School • Madhava • Infinite Series • Series of Inverse tangent, • Power series of sine and cosine • Suspicion of “proof” • Diffusion, Independent invention • Complexity, Arbitrary nature,
Transmission from Cochin to Rome • Jesuit College in Cochin 1552 • Sanskrit, Malayalam • Christopher Clavius 1537-1610 • Reformed mathematics • Problems with Calendar Reform • Navigation Vasco da Gama • Mercator • Matteo Ricci 1552-1610
European mathematical breakthroughs of 17th century • Descartes, Co-ordinate geometry • Fermat, Diophantos • Infinite Series Bhaskara • Calculus, Newton, Leibniz
Technology 12
Sun Kings • Akbar, (1542-1605) • Mogul • Louis XIV (1638-1715) • Cardinal Mazarin 1602-1661
Politics 2 Caste and Race • Vrna Colour • François Bernier, John Locke • “New Division of the Earth by the different species or races that inhabit it” • 1684 • Code Noir 1685
Politics 3 Religious Toleration • François Bernier, John Locke • A Letter Concerning Toleration 1689 • Pierre Bayle • India/China
Politics 3 Religious Toleration • François Bernier • John Locke • Pierre Bayle