MATHEMATICS AND CIVILISATION II


MATHEMATICS AND CIVILISATION II
From Asia to Europe. The implementation of these new ideas in Europe took several hundred years, till the XII century. Progress in Mathematics ceased, however, in the XIV century because of the Black Plague that spread throughout Europe.

 The Renaissance
 Fray Luca Pacioli
 Nicholas Copernicus
 Filippo Brunelleschi
 Modern Mathematics
 Galileo, Napier, Kepler and Viète
 Modern Algebra
 John Napier wrote the first treaty on logarithms
 The exponential function
 Galileo and applied Mathematics in physics and astronomy
 The XVII Century: Descartes and Fermat
 René Descartes: one of the creators of modern analytical geometry
 Pierre de Fermat and the infinitesimal analysis; Last Theorem
 Newton and Leibniz
 The five main discoveries of Newton: the Binomial Theorem, the Law of Gravitation, the Laws of Motion, the Nature of Colours and Infinitesimal Calculus
 The dispute between Isaac Newton and Gottfried Wilhelm von Leibniz, one of the most profound mathematicians and philosophers in history.
 The XVIII century
 The Swiss family Bernoulli
 Leonhard Euler, the most prolific mathematician in history
 Adoption of the decimal metric system
 Lagrange; Jean Le Ronde D’Alembert; Gaspard Monge
 Pierre Simon Laplace and the Theory of Probabilities
 The Marquis of Condorcet; Adrien Marie Legendre
 The XIX and XX centuries
 Carl Friedrich Gauss “The Prince of Mathematics”
 The discovery of nonEuclidian geometry
 Nicolai Lobachevski and Janos Bolyai: the discovery of hyperbolic geometry
 Bernhard Riemann : elliptical geometry
 Henri Poincaré : the basic group of a topological space
 Bertrand Russell and Alfred North Whitehead: Principia Mathematica
 Alan Turing expert in cryptographic analysis
 John Von Neumann : quantum physics, computer science, Economics
 Without Mathematics, we would not have developed science or technology.




