2015
Great Courses
David M. Bressoud
12:17:07
English

In the 17th century, the great scientist and mathematician Galileo Galilei noted that the book of nature "cannot be understood unless one first learns to comprehend the language and read the characters in which it is written. It is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures, without which it is not humanly possible to understand a single word of it."

24 lectures | 30 minutes each Year Released: 2008
1 What Is Mathematics?
2 Babylonian and Egyptian Mathematics
3 Greek Mathematics—Thales to Euclid
4 Greek Mathematics—Archimedes to Hypatia
5 Astronomy and the Origins of Trigonometry
6 Indian Mathematics—Trigonometry Blossoms
7 Chinese Mathematics—Advances in Computation
8 Islamic Mathematics—The Creation of Algebra
9 Italian Algebraists Solve the Cubic
10 Napier and the Natural Logarithm
11 Galileo and the Mathematics of Motion
12 Fermat, Descartes, and Analytic Geometry
13 Newton—Modeling the Universe
14 Leibniz and the Emergence of Calculus
15 Euler—Calculus Proves Its Promise
16 Geometry—From Alhambra to Escher
17 Gauss—Invention of Differential Geometry
18 Algebra Becomes the Science of Symmetry
19 Modern Analysis—Fourier to Carleson
20 Riemann Sets New Directions for Analysis
21 Sylvester and Ramanujan—Different Worlds
22 Fermat's Last Theorem—The Final Triumph
23 Mathematics—The Ultimate Physical Reality
24 Problems and Prospects for the 21st Century

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