VideoMath Festival at ICM '98 : a collection of mathematical videos
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VideoMath Festival at ICM '98 : a collection of mathematical videos
Springer, 2005
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内容説明・目次
内容説明
The VideoMath Festival is a collection of the juried mathematical videos presented at ICM '98, the International Congress of Mathematicians in Berlin. The videos are winners of a worldwide competition, in which the international jury evaluated their mathematical relevance, technical quality, and artistic imagination. The mathematical themes include problems in topology and geometry and their recent solutions, visualizations of classical ideas of Archimedes, Eratosthenes, Pythagoras, and Fibonacci, topics in high school mathematics, and applications of modern numerical methods to real world simulations. The videos target a general scientific audience interested in mathematical topics and their visualization. They are useful for initiating discussions, and to stimulate further research. The VideoMath collection is eminently suitable for school and university instruction. It provides an entertaining and informative look into current research in pure, applied and didactic mathematics.
目次
1. Fibonacci and the Golden Mean.- 2. The Story of Pi.- 3. The Law of Large Numbers.- 4. Vehicle Dynamics Simulation.- 5. Challenges in Fluid Dynamics.- 6. On Archimedes' Path.- 7. Geodesics and Waves.- 8. Mandelbloom.- 9. The Animation of M.C.Escher's Belvedere.- 10. Meditation on Homotopy of Embedding.- 11. Knot Synergies.- 12. Soap Bubbles.- 13. Touching Soup Films.- 14. The Shadows of Alexandria.- 15. The Theorem of Phytagoras.- 16. The Optiverse.- 17. Homage to Hilbert.- 18. Evolved Virtual Creatures.- 19. The Topological House.- 20. The Shape of Space
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