CalcBLUE 4 : Ch. 2.4 : Paths & Parametrizations

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Thanks to the Change of Variables Theorem, scalar path integrals do not depend on how the path is parametrized from start-point to end-point. Only the path matters --- but it really does matter in general.
  1. Prof Ghrist Math
  2. calculus
  3. multivariable
  4. derivatives
  5. integrals
  6. fields
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CalcBLUE 4 : Ch. 5.2 : The Work 1-Form in 2-D

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CalcBLUE 4 : Ch. 16.2 : Basis Forms in Arbitrary Dimensions

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CalcBLUE 4 : Ch. 3.2 : Introducing 1-Forms

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CalcBLUE 4 : Ch. 14.2 : Gauss, Stokes, & Maxwell

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CalcBLUE 4 : Ch. 11.4 : Surface Independence for Stokes

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CalcBLUE 4 : Ch. 12.4 : Sneaky Example - Green's Theorem

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CalcBLUE 4 : Ch. 4.3 : Checking for Gradients

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CalcBLUE 4 : Ch. 3.4 : Integrating 1-Forms

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CalcBLUE 4 : Ch. 2.3 : Rules for Scalar Path Integrals

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CalcBLUE 4 : Ch. 4.2 : The Independence of Path Theorem

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CalcBLUE 4 : Ch. 3.3 : Visualizing 1-Forms

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CalcBLUE 4 : Ch. 17.5 : Examples of Integrating Forms in 4-D

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CalcBLUE 4 : Ch. 16.4 : Form Fields & Flux

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CalcBLUE 4 : Ch. 1.2 : Vector Field & Flowlines

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CalcBLUE 4 : Ch. 6.6 : The Proof of Green's Theorem

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but wouldn't will be assuming that rate of absorption of dirt of the vacuum cleaner as infinite? that way, no matter the speed at which you pass it trough, you will get all dirt, how would we compute a composition of integrals that take into account the rate of absorption?

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