| Description |
4 videodiscs (approximately 720 min.) : sound, color ; 4 3/4 in. + 1 course guidebook (125 pages ; 19 cm). |
| Series |
Great courses. Science & mathematics. Mathematics |
|
Great courses (DVD). Science & mathematics.
|
| System Details |
DVD. |
| Summary |
Professor Donald G. Saari of the University of California, Irvine, presents 24 lectures (ca. 30 min. each) showing the power of applying mathematical ideas across disciplines. |
| Contents |
disc 1. The unreasonable effectiveness of mathematics ; Seeing higher dimensions and symmetry ; Understanding Ptolemy's enduring achievement ; Kepler's 3 laws of planetary motion ; Newton's powerful law of gravitation ; Is Newton's law precisely correct? -- disc 2. Expansion and recurrence--Newtonian chaos! ; Stable motion and central configurations ; The evolution of the expanding universe ; The winner is--determined by voting rules ; Why do voting paradoxes occur? ; The order matters in paired comparisons -- disc 3. No fair election rule? Arrow's theorem ; Multiple scales--when divide and conquer fails ; Sen's theorem--individual versus societal needs ; How majority improvements go wrong ; Elections with more than three candidates ; Donuts in decisions, emotions, color vision -- disc 4. Apportionment problems of the U.S. Congress ; The current U.S. apportionment method ; The mathematics of Adam Smith's invisible hand ; The unexpected chaos of price dynamics ; Using local information for global insights ; Toward a general picture of what can occur. |
| Performer |
Lecturer: Professor Donald G. Saari, University of California, Irvine. |
| Subject |
Mathematics -- Philosophy.
|
|
Mathematics -- Social aspects.
|
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Mathematics -- Study and teaching -- Psychological aspects.
|
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Problem solving.
|
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Voting -- Mathematical models.
|
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Elections -- Mathematical models.
|
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Economics, Mathematical.
|
|
Economics, Mathematical. (OCoLC)fst00902260
|
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Elections -- Mathematical models.
(OCoLC)fst00904354
|
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Mathematics -- Philosophy.
(OCoLC)fst01012213
|
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Mathematics -- Psychological aspects.
(OCoLC)fst01012221
|
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Mathematics -- Social aspects.
(OCoLC)fst01012230
|
|
Problem solving. (OCoLC)fst01077890
|
|
Voting -- Mathematical models.
(OCoLC)fst01169244
|
| Genre/Form |
Filmed lectures. (OCoLC)fst01726215
|
|
Filmed lectures.
|
| Added Author |
Saari, D. (Donald)
|
|
Teaching Company.
|
| ISBN |
1598033107 |
|
9781598033106 |
| Music No. |
ID1417A-01 Teaching Company |
|
