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Great Thinkers, Great Theorems

Offered By: The Great Courses Plus

Tags

Mathematics Courses Calculus Courses Algebra Courses Number Theory Courses Infinite series Courses

Course Description

Overview

<p>Rub shoulders with towering mathematical geniuses of history in this fun and compelling course that takes you inside the mechanics of some of math's greatest and most awe-inspiring achievements.</p>

Syllabus

  • By This Professor
  • 01: Theorems as Masterpieces
  • 02: Mathematics before Euclid
  • 03: The Greatest Mathematics Book of All
  • 04: Euclid's Elements-Triangles and Polygons
  • 05: Number Theory in Euclid
  • 06: The Life and Works of Archimedes
  • 07: Archimedes' Determination of Circular Area
  • 08: Heron's Formula for Triangular Area
  • 09: Al-Khwarizmi and Islamic Mathematics
  • 10: A Horatio Algebra Story
  • 11: To the Cubic and Beyond
  • 12: The Heroic Century
  • 13: The Legacy of Newton
  • 14: Newton's Infinite Series
  • 15: Newton's Proof of Heron's Formula
  • 16: The Legacy of Leibniz
  • 17: The Bernoullis and the Calculus Wars
  • 18: Euler, the Master
  • 19: Euler's Extraordinary Sum
  • 20: Euler and the Partitioning of Numbers
  • 21: Gauss-the Prince of Mathematicians
  • 22: The 19th Century-Rigor and Liberation
  • 23: Cantor and the Infinite
  • 24: Beyond the Infinite

Taught by

William Dunham

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