Great Thinkers, Great Theorems

12h 14m 35s
English
Paid

Course description

Delve into the mechanics of some of math's greatest and most awe-inspiring achievements.

Explore the most awe-inspiring theorems in the 3,000-year history of mathematics with the 24 lectures of Great Thinkers, Great Theorems. Professor William Dunham, an award-winning teacher with a talent for conveying the essence of mathematical ideas, reveals how great minds like Pythagoras, Newton, and Euler crafted theorems that would revolutionize our understanding of the world. Approaching great theorems the way an art course approaches great art, Professor Dunham will open your mind to new levels of mathematics appreciation.

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#1: 1 Theorems as Masterpieces

All Course Lessons (24)

#Lesson TitleDurationAccess
1
1 Theorems as Masterpieces Demo
31:44
2
2 Mathematics before Euclid
31:10
3
3 The Greatest Mathematics Book of All
28:56
4
4 Euclid's Elements - Triangles and Polygons
31:42
5
5 Number Theory in Euclid
28:37
6
6 The Life and Works of Archimedes
29:16
7
7 Archimedes' Determination of Circular Area
31:32
8
8 Heron's Formula for Triangular Area
31:21
9
9 Al-Khwarizmi and Islamic Mathematics
29:49
10
10 A Horatio Algebra Story
28:45
11
11 To the Cubic and Beyond
32:04
12
12 The Heroic Century
31:13
13
13 The Legacy of Newton
30:13
14
14 Newton's Infinite Series
30:53
15
15 Newton's Proof of Heron's Formula
31:35
16
16 The Legacy of Leibniz
30:39
17
17 The Bernoullis and the Calculus Wars
31:01
18
18 Euler, the Master
30:25
19
19 Euler's Extraordinary Sum
31:09
20
20 Euler and the Partitioning of Numbers
30:42
21
21 Gauss - the Prince of Mathematicians
30:22
22
22 The 19th Century - Rigor and Liberation
30:55
23
23 Cantor and the Infinite
29:30
24
24 Beyond the Infinite
31:02

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