Mathematics from the visual world
Professor Michael Starbird of the University of Texas at Austin, presents "a collection of intriguing topics that r
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English Pages 108 [61] Year 2009
Table of contents :
Content: Disc 1: Part 1, Lecture 1: Seeing with our eyes, seeing with our minds --
Lecture 2: Congruence, similarity, and Pythagoras --
Lecture 3: The circle --
Lecture 4: Centers of triangles --
Lecture 5: Surprising complexity of simple triangles --
Lecture 6: Clever constructions --
Disc 2: Part 1: Lecture 7: Impossible geometry: squaring the circle --
Lecture 8: Classic conics --
Lecture 9: Amazing areas --
Lecture 10: Guarding art galleries --
Lecture 11: Illusive perspective --
Lesson 12: Planes in space. Disc 3: Part 2: Lecture 13: Cooling towers and hyperboloids --
Lecture 14: A non-Euclidean spherical world --
Lecture 15: Hyperbolic geometry --
Lecture 16: The dark night sky paradox --
Lecture 17: The shape of the universe --
Lecture 18: The fourth dimension --
Disc 4: Part 2: Lecture 19: Patterns of patterns --
Lecture 20: Aperiodic tilings and chaotic order --
Lecture 21: The Mandlebrot and Julia sets --
Lecture 22: Pathways to graphs --
Lecture 23: A rubber-sheet world --
Lecture 24: The shape of geometry.
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