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rohit13

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rohit13

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Depends very much on what you mean with *fun*. You can only differentiate in one direction, so the multivariate version is mainly about: *How to keep the components together, how to arrange them.* Even integration is direction by direction, and limits depend on direction, too, namely the path along which you approach a point.

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- #3

jedishrfu

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3blue1brown has a sequence of videos on Calculus that may bring new insight into your Calculus understanding.

https://www.3blue1brown.com/eoc1-thanks

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hutchphd

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https://www.physicsforums.com/insights/the-pantheon-of-derivatives-i/

- #6

wrobel

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it is much more complicated and rich of effects that do not appear in the one variable calc. Yes it is fun for those who love mathI was wondering if multivariable calc is as fun as

see for example Gelbaum Olmsted Counterexamples in Analysis

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- #7

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Prof Ghrist thinks so

vol 1 Vectors and Matrices

vol 2 Derivatives

vol 3 Integrals

vol 4 Fields (Ch 3 introduces differential forms, Ch 7 Grad Curl & Div, Ch 8 differential forms in 3-D)

here's a link to Calculus: Single Variable.

- #8

MidgetDwarf

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If you are not taking a multivariable calculus course in the spring, I would suggest instead to learn Calculus 1 from a stronger perspective. You mentioned relearning calculus. Maybe take a gander at the book of Moise: Calculus. It is a bit easier than Spivak, Courant, Apostol, but does not skimp on the mathematics. Clear writing, and everything is explained. I gained a lot from his book. It is closer to Courant in style. To really appreciate multivariable calculus, some linear algebra is required. So maybe reviewing single variable Calculus and learning intro linear algebra would suit you well...

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symbolipoint

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Not having read ANY of the responses, I'll say this:

As long as you are competent enough, the funness of studying Multivariable Calculus depends on just how it articulates within YOU. The content or course could be more fun (if it could be fun at all) if you are studying without a grade to deal with and if you are not on a strictly enforced time limit.

- #10

symbolipoint

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Another way of looking at this -

You are already acquainted with studying "Calculus A and B", assuming that means first year or introductory Calculus, single variable. You should review from start to finish, almost nonstop for however many months, the Calclulus 1 &2 material, and while it is as fresh as it can possibly be, CONTINUE ON THRough Multivariable Calculus, all of this as if you were studying as a student in college.

My guess is that you need between 5 and 9 months to properly review Calcul 1&2, and then maybe 4 or 5 months to study through

- #11

strangerep

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Well, I loved it. But don't forget to study the calculus of a singleI was wondering if multivariable calc is as fun as A and B have been so far.

In Quantum Field Theory, one needs it all: multivariate real calculus as well as complex variable calculus.

- #12

Infrared

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Well, I loved it. But don't forget to study the calculus of a singlecomplexvariable

You're leaving out the natural culmination of several complex variables!

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