TTC - Power of Mathematical Thinking: From Newton's Laws to Elections and the Economy

1. 00. Professor Bio.avi9.32MB
2. 01. The Unreasonable Effectiveness of Mathematics.avi215.37MB
3. 02. Seeing Higher Dimensions and Symmetry.avi215.37MB
4. 03. Understanding Ptolemy's Enduring Achievement.avi215.48MB
5. 04. Kepler's 3 Laws of Planetary Motion.avi215.39MB
6. 05. Newton's Powerful Law of Gravitation.avi215.37MB
7. 06. Is Newton's Law Precisely Correct.avi215.25MB
8. 07. Expansion and Recurrence - Newtonian Chaos!.avi215.31MB
9. 08. Stable Motion and Central Configurations.avi215.47MB
10. 09. The Evolution of the Expanding Universe.avi215.28MB
11. 10. The Winner Is ... Determined by Voting Rules.avi215.36MB
12. 11. Why Do Voting Paradoxes Occur.avi215.47MB
13. 12. The Order Matters in Paired Comparisons.avi215.29MB
14. 13. No Fair Election Rule Arrow's Theorem.avi215.46MB
15. 14. Multiple Scales - When Divide and Conquer Fails.avi215.42MB
16. 15. Sen's Theorem - Individual versus Societal Needs.avi215.47MB
17. 16. How Majority Improvements Go Wrong.avi215.41MB
18. 17. Elections with More than Three Candidates.avi215.22MB
19. 18. Donuts in Decisions, Emotions, Color Vision.avi215.42MB
20. 19. Apportionment Problems of the U.S. Congress.avi215.72MB
21. 20. The Current Apportionment Method.avi215.48MB
22. 21. The Mathematics of Adam Smith's Invisible Hand.avi215.45MB
23. 22. The Unexpected Chaos of Price Dynamics.avi215.39MB
24. 23. Using Local Information for Global Insights.avi215.46MB
25. 24. Toward a General Picture of What Can Occur.avi215.48MB