I would like an advanced calculus that covers the following(adsbygoogle = window.adsbygoogle || []).push({});

-A bit on vectors

-A bit on functions of several variables, Chain Rule

-Vector valued functions and things like Curvature, and Binormal vector etc.

-Multi-var Taylor's Theorem

-If possible, A bit on differentiation under the integral (Leibniz rule)

-Extrema of MV functions (Lagrange multipliers, second derivative test, etc)

-Multiple integrals

-Line integrals and surface integrals

-Stoke's theorem, Divergence theorem, Green's Theorem

-If possible a bit on Differential Forms and Manifolds

And the text should ideally have a good level of rigor, meaning that there is more of a focus on proving theorems and propositions than on examples.

Any suggestions?

Cheers, Nick

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# Can anyone recommend such a textbook (Vector Calc)

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