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- What's the difference between a function and it's graph? How calculus of functions becomes calculus of geometric objects.
- How to use the Metric Tensor to Calculate the Volume of the Three Sphere. What about the Jacobian? SQRT(det(METRIC))=det(J) ...
- The Rotation Operator in two dimensions as a tensor operator. In part 2 we find an explicit formula for the rotation operator in the ...
- Summation of Series | Series of Square Numbers | George Polya method: Guess the Answer | Geometric thinking to sum the ...
- Where all is revealed about the Spherical Polar Basis without need of possibly confusing diagrams. NOTE: We are working on ...
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Part 2 were we finish calculating the Metric Tensor of the 3-Sphere. Getting explicit formulas for 4D spherical polar coordinates, ... What's the Metric Tensor On the Three Sphere? Derive four dimensional spherical coordinates. Find the coordinate transformation ... Animation of 3-Sphere. Three dimensional polar coordinate planes of Theta(1,2,3) are plotted with the value of Theta3 stepping ... Finding the Metric Tensor on the Three Spere a Fast and Easy Way. Thinking geometrically and using a coordinate system that ...
Getting the wedge product and exterior algebra from consideration of humble triangles in the Euclidean plane. Parity and ...
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