TTC-Zero To Infinity A History Of Numbers

http://www.thegreatcourses.c...ty-a-history-of-numbers.html





Numbers surround us. They mark our days, light our nights, foretell our weather, and keep us on course. They drive commerce and sustain civilization. But what are they? Whether you struggled through algebra or you majored in mathematics, you will find Professor Edward B. Burger's approach accessible and stimulating. If you think math is just problems and formulas, prepare to be amazed.

24 lectures
| 30 minutes each

1
The Ever-Evolving Notion of Number
2
The Dawn of Numbers
3
Speaking the Language of Numbers
4
The Dramatic Digits—The Power of Zero
5
The Magical and Spiritual Allure of Numbers
6
Nature's Numbers—Patterns without People
7
Numbers of Prime Importance
8
Challenging the Rationality of Numbers
9
Walk the (Number) Line
10
The Commonplace Chaos among Real Numbers
11
A Beautiful Dusting of Zeroes and Twos
12
An Intuitive Sojourn into Arithmetic

13
The Story of pi
14
The Story of Euler's e
15
Transcendental Numbers
16
An Algebraic Approach to Numbers
17
The Five Most Important Numbers
18
An Analytic Approach to Numbers
19
A New Breed of Numbers
20
The Notion of Transfinite Numbers
21
Collections Too Infinite to Count
22
In and Out—The Road to a Third Infinity
23
Infinity—What We Know and What We Don't
24
The Endless Frontier of Number