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Understanding tensor fields

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#vector-analysis
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Gradient of vector field in spherical coordinates

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#vector-analysis
90
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Prove $\oint_C\vec F \cdot \hat n\;ds=4\pi\,(q_1+...+q_n)$

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#integration #vector-analysis #greens-theorem
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What does it mean to integrate a vector function?

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#calculus #multivariable-calculus #vector-analysis
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vector analysis questions review

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#vector-analysis
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Using Euler's equation and vector identity

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#multivariable-calculus #partial-differential-equations #vector-analysis #fluid-dynamics
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How does the chain rule work for functions from vectors to vectors?

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#vector-analysis
28
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Showing that$(\vec{a}+\vec{b})\cdot[(\vec{b}+\vec{c})\times(\vec{c}+\vec{a})]=2\vec{a}\cdot(\vec{b}\times\vec{c})$

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#calculus #vector-analysis
556
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Calculating Flux of F across G with paraboloid and plane

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#calculus #multivariable-calculus #vector-analysis
81
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Is it possible to express the jacobi derivative of position with respect to angular displacement easier?

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#vector-analysis #matrix-calculus
302
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Poincare's lemma from PMA Rudin

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#real-analysis #vector-analysis #differential-forms
212
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Geometry of Vectors

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#vector-analysis
60
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Proving the invariance of the mixed product under direct congruent transformations

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#differential-geometry #vector-analysis
372
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Differentiating the pull-back of a one-form

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#differential-geometry #vector-analysis #differential-forms
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[svm]A Problem of $\max(1/\|w\|)$ equal to $\min(1/2\cdot \|w\|^2)$

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#optimization #normed-spaces #vector-analysis

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