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07-17-2002, 10:18 PM | #11 | |
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<a href="http://mathworld.wolfram.com/IntrinsicCurvature.html" target="_blank">Intrinsic Curvature</a> <a href="http://mathworld.wolfram.com/ExtrinsicCurvature.html" target="_blank">Extrinsic Curvature</a> m. |
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07-18-2002, 06:48 AM | #12 |
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I don't know of any websites that explain this stuff well but I will recommend some introductory books on geometry.
If you have a math background at, say, the level of multivariable calculus and linear algebra then in you are in a decent position to start learning a bit about differential geometry. Two very introductory books I have seen are, O'neill: Elementary Differential Geometry and Frank Morgan's Reimannian Geometry: A Beginners Guide. These are probably the most gentle introductions to the subject that I know of. O'neill's book is mostly classical differential geometry of curves and surfaces while Morgan concentrates on the geometry of R^3. Morgan's book is especially usefull since he introduces you to Einstein's Field Equations and moreover, the book is only 130 or so pages long so it is almost bedtime reading material. Steven S [ July 18, 2002: Message edited by: Steven S ]</p> |
07-19-2002, 05:02 AM | #13 |
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I have a few curves to throw myself, but it will take some time, since I am impossibly busy.
It has to do with the extension of euclidean space (euclidean space taken over large distances) which seems to end up in space curvature. The natural uninhibited path of travel through space. Does anyone have the figures that tell us over which distances does it becomes apparent that space is curved? It certainly does not seem curved when I push my bike up Mont Royal. Sammi Na boodie () |
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