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The Intermediate Value Theorem
This program uses several models and animation to establish the intermediate value theorem, highlighting the fundamental concepts of continuity and the monotone convergence theorem. Produced by the Open University. (25 minutes)(more details) |
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Isomorphism
Examining the idea of isomorphism in group theory, this program shows how two groups may really be the same, even though they look totally different at first sight. Produced by the Open University. (25 minutes)(more details) |
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The Counting Theorem
This program explores the orbit-stabilizer theorem in group theory, showing how this leads to the counting theorem, which is used to solve counting problems. Produced by the Open University. (25 minutes)(more details) |
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Affine Geometry
This program demonstrates how theorem-proving becomes easier when geometers have access to affine geometry. Produced by the Open University. (25 minutes)(more details) |
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Shrinking Polygons
This program uses animation to introduce three problems involving shrinking polygons. The program also explores a model of the platonic solids, showing how these first prompted Kepler to consider the problems of shrinking polygons. Produced by the Op...(more details) |
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