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- The shape of nature [videorecording] / by Devadoss, Satyan L.,1973-; Rhoades, Zachary H.; Teaching Company.(CARDINAL)349444;
Bibliographical references included in course guidebook.Disc 1. Lecture 1. Understanding nature ; Lecture 2. The language of shapes ; Lecture 3. Knots and strings ; Lecture 4. Creating new knots from old ; Lecture 5. DNA entanglement ; Lecture 6. The Jones revolution -- Disc 2. Lecture 7. Symmetries of molecules ; Lecture 8. The messy business of tangles and mutations ; Lecture 9. Braids and the language of groups ; Lecture 10. Platonic solids and Euler's masterpiece ; Lecture 11. Surfaces and a new notion of equivalence ; Lecture 12. Reaching boundaries and losing orientations.Disc 3. Lecture 13. Knots and surfaces -- 14. Wind flows and currents -- 15. Curvature and Gauss's geometric gem -- 16. Playing with scissors and polygons -- 17. Bending chains and folding origami -- 18. Cauchy's rigidity and Connelly's flexibility -- Disc 4. Lecture19. Mountain terrains and surface reconstruction -- 20. Voronoi's regions of influence -- 21. Convex hulls and computational conplexity -- 22. Patterns and colors -- 23. Orange stackings and bubble partitions -- 24. The topology of the universe.Disc 5. Lecture 25. Tetrahedra and mathematical surgery -- 26. The fundamental group -- 27. Poincare's question and Perelman's answer -- 28. The geometry of the universe -- 29. Visualizing in higher dimensions -- 30. Polyhedra in higher dimensions -- Disc 6. Lecture 31. Particle motions -- 32. Particle collisions -- 33. Evolutionary trees -- 34. Chaos and fractals -- 35. Reclaiming Leonardo da Vinci -- 36. Pushing the forefront.Lecturer: Professor Satyan L. Devadoss, Williams College.An authoritative guide to the mathematical shapes around us: how they're formed, how they're studied, and how they're applied to our everyday lives. With these lectures presented in three parts you will discover the intricate relationship between mathematics and nature, get a pointed introduction to the language mathematicians use to study shapes and dimensions, and learn how to finally make sense of this abstract intriguing subject.DVD.NTSC.- Subjects: Educational films.; Lectures.; Nonfiction films.; Form perception.; Geometry in nature.; Mathematics in art.; Mathematics in nature.; Pattern perception.; Science; Symmetry (Mathematics);
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