/sci/ - Science & Math » Thread #10850549

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Anonymous Tue 30 Jul 23:49:08 2019 No.10850549 View Reply Original Report

Quoted By: >>10850638 >>10851134

Is it still worth reading if I already know calculus? Will I gain any new insights? Is it enjoyable in the beauty of math sense?
Forgive me if these are stupid questions, I've never read a math textbook on my own accord before.

Anonymous

Anonymous Tue 30 Jul 2019 23:50:14 No.10850553 Report

Quoted By:

Bump

Anonymous

Anonymous Wed 31 Jul 2019 00:11:20 No.10850593 Report

Quoted By:

I suppose it depends on how you learned calculus. I first learned it from Stewart like most people in America and I read Apostol’s calculus on my own. I feel like I gained a lot and it acted as a good bridge between Stewart and analysis that would have been a very difficult jump otherwise.

Anonymous

Anonymous Wed 31 Jul 2019 00:31:47 No.10850638 Report

Quoted By: >>10850647

>>10850549
Just read analysis dude

all those meme books like Spivak, Apostol, Courant, Etc are a waste of time. A better bridge to analysis that also works well as a first exposure to Calculus is Piskunov. However, if you already know Calc, just move on.

Anonymous

Anonymous Wed 31 Jul 2019 00:34:44 No.10850647 Report

Quoted By:

>>10850638
> putting spivak in that same category.

Spivak is a really good intro to analysis ideas in 1d, but you may be right that its time for OP to move on.

Anonymous

Anonymous Wed 31 Jul 2019 03:26:13 No.10851134 Report

Quoted By:

>>10850549
Understand how to derive derivative facts from the average slope formula with a limit.
Prove the basic derivative facts.
Prove MVT, Rolle's.
Work through the fundamental theorem until you can rewrite a proof from memory.

These are not as hard as they sound, but not necessarily easy. You can do this in a week's honest time. Once you do this, you can go deeper after getting the bird's eye view, and proving the major islands of logic.

Anonymous

Anonymous Wed 31 Jul 2019 03:29:03 No.10851141 Report

Quoted By:

You could gain new insights from looking at 2+2 for long enough.

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