Vector_Analysis - 3.1 Basics of Vector Algebra In...

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3.1 Basics of Vector Algebra “In mathematics you don't understand things… yg …you just get used to them.” h N - John von Neumann ( http://en.wikipedia.org/wiki/John_von_Neumann ) Lecture 9
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T-Line Example…
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3.2 Ortho Coordinate Systems “Mathematics is the art of giving the same name to different things.” - . H. Poincare J. H. Poincare http://en.wikipedia.org/wiki/ Henri_Poincar%C3%A9 Lecture 10
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Orthogonal Coordinate Systems http://en.wi k /Ren%C3% A ipedia.org/wiki 9_Descartes Q: if you went straight through the Earth from State College, where would you be on the other side? What would be the nearest big city?
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alculus Calculus
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T-Line Example…
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3.3 Transformation between Coord. Systems "Mathematics is a game played according to certain simple rules with meaningless marks on paper.“ avid Hilbert - David Hilbert http://en.wikipedia.org/wiki/David_Hilbert Lecture 11
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A(r ): vector A is a function of position r …it is a vector field !
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Position coordinates are different from basis vectors, and so are their conversion between coordinate systems.
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This note was uploaded on 11/11/2008 for the course EE 330 taught by Professor Tofighimohammad- during the Fall '08 term at Pennsylvania State University, University Park.

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Vector_Analysis - 3.1 Basics of Vector Algebra In...

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