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 |
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Great courses (DVD). Science & mathematics.
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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.
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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.
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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
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Problem solving. (OCoLC)fst01077890
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Voting -- Mathematical models.
(OCoLC)fst01169244
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Genre/Form |
Filmed lectures. (OCoLC)fst01726215
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Filmed lectures.
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Added Author |
Saari, D. (Donald)
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Teaching Company.
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ISBN |
1598033107 |
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9781598033106 |
Music No. |
ID1417A-01 Teaching Company |
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