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Anonymous Tue 19 May 13:15:09 2020 No.11688691 View Reply Original Report

Quoted By: >>11688692 >>11688710 >>11688717 >>11688753 >>11688759 >>11688797

What's a good book about differentiable geometry for autists? Something rudin-like.

None of this "a vector is an arrow between neighboring points" bullshit that physicists spout.

Anonymous

Anonymous Tue 19 May 2020 13:16:50 No.11688692 Report

Quoted By: >>11688694

>>11688691
Why the hostility?

Anonymous

Anonymous Tue 19 May 2020 13:19:51 No.11688694 Report

Quoted By:

>>11688692
Because informal hand-waving pisses me off

Anonymous

Anonymous Tue 19 May 2020 13:27:32 No.11688710 Report

Quoted By: >>11688712 >>11688760

>>11688691
any introduction to linear algebra collage course book.

Anonymous

Anonymous Tue 19 May 2020 13:29:49 No.11688712 Report

Quoted By:

>>11688710
Mine sure didn't have it.

Anonymous

Anonymous Tue 19 May 2020 13:33:21 No.11688717 Report

Quoted By: >>11688743

>>11688691
I lectured differential geometry for several years using Barrett O'Neill "Elementary Differential Geometry" as a textbook. It is likable enough, concise, but not hard to read.

Anonymous

Anonymous Tue 19 May 2020 13:46:38 No.11688743 Report

Quoted By:

>>11688717
Thanks I'll look into it!

Anonymous

Anonymous Tue 19 May 2020 13:52:39 No.11688753 Report

Quoted By:

>>11688691
Kolar, Michor, Slovak - Natural Operations in Differential Geometry

Anonymous

Anonymous Tue 19 May 2020 13:55:02 No.11688759 Report

Quoted By:

>>11688691
You probably want something like Calculus on Manifolds by Spivak, or Differential Geometry of Curves and Surfaces by do Carmo, or Smooth Manifolds by Lee.

Anonymous

Anonymous Tue 19 May 2020 13:56:04 No.11688760 Report

Quoted By: >>11688761 >>11688853

>>11688710
Linear algebra is not differential geometry.

Anonymous

Anonymous Tue 19 May 2020 13:56:48 No.11688761 Report

Quoted By: >>11688765

>>11688760
it surely is differentiable though

Anonymous

Anonymous Tue 19 May 2020 13:58:44 No.11688765 Report

Quoted By: >>11688853

>>11688761
Yes, trivially so.

Anonymous

Anonymous Tue 19 May 2020 14:17:00 No.11688797 Report

Quoted By:

>>11688691
Elementary differential geometry by Andrew Pressley is a simple enough intro, I enjoyed it

Anonymous

Anonymous Tue 19 May 2020 14:34:07 No.11688853 Report

Quoted By: >>11688931 >>11689275

>>11688760
>>11688765
op is asking for introductory stuff, normals and definition of vectors. Thats covered in litrally every introduction to linear algebra course. If he wants something more specific, he should be more specific then.

Anonymous

Anonymous Tue 19 May 2020 14:56:42 No.11688931 Report

Quoted By:

>>11688853
he asked for differential geometry and you gave him linear algebra lol

Anonymous

Anonymous Tue 19 May 2020 15:40:42 No.11689056 Report

Quoted By:

R. W. Sharpe - Differential Geometry

Anonymous

Anonymous Tue 19 May 2020 17:04:28 No.11689275 Report

Quoted By:

>>11688853
just because two different subjects use vectors doesn't mean they're the same
surely one needs to know linear algebra to do differential geometry

Anonymous

Anonymous Tue 19 May 2020 21:48:43 No.11690373 Report

Quoted By:

Differential Geometry of Curves and Surfaces by P do Carmo, very comfy and full of examples to get the intuition going

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