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# /sci/ - Science & Math

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File: 4 KB, 297x150, 1513485926521.png [View same] [iqdb] [saucenao] [google]

what is a good book to learn about pic related?

 >> Anonymous Fri Sep 23 01:42:47 2022 No.14867685 >>14867682Elementary Mathematics for Retardeds, Third Edition
 >> Anonymous Fri Sep 23 02:06:06 2022 No.14867719 >>14867685begone esl
 >> Anonymous Fri Sep 23 02:09:36 2022 No.14867728 stokes gay theorem for trannys, 108th edition, author Larry Capija
 >> Anonymous Fri Sep 23 20:05:51 2022 No.14869360 Transitional Calculus: Intro to HRT
 >> Anonymous Fri Sep 23 20:12:05 2022 No.14869380 >>14869360Ah yes, Homotopy Relation Theory, my favourite topic
 >> Anonymous Fri Sep 23 20:18:43 2022 No.14869405 >>14867682Stoke my dick
 >> Anonymous Fri Sep 23 20:22:35 2022 No.14869426 >>14867682Spivak manifolds.
 >> Anonymous Fri Sep 23 20:26:33 2022 No.14869438 amann escher bach analysis vol 3(the version that replace every he with a she)
 >> Anonymous Fri Sep 23 20:40:10 2022 No.14869477 Baby rudin
 >> Anonymous Fri Sep 23 23:43:08 2022 No.14869867 any of the books in the Wiki page for 'Tangent space'
 >> Anonymous Fri Sep 23 23:52:48 2022 No.14869891 >>14869426only correct answer
 >> Anonymous Fri Sep 23 23:58:25 2022 No.14869903 >>14867682>StokesI liked spivak's (calculus on manifolds) and folland's (real analysis) treatments of the subject. The former does a really good job of it.The result you've posted is one where the actual method was elementary but setting everything up and realizing how it works was sort of nontrivial.
 >> Anonymous Fri Sep 23 23:59:07 2022 No.14869907 >>14869891>Moreover, careful readers have noted a number of nontrivial oversights throughout the text, including missing hypotheses in theorems, inaccurately stated theorems, and proofs that fail to handle all cases.I wonder what Addison-Wesley thinks of thisThis criticism is new to meIf accurate, it would represent an academic gap in mathematics criticismThe philosophy department would have to explain their laxity
 >> Anonymous Sat Sep 24 00:29:26 2022 No.14869951 >>14867682i admit that Stokes looks sexy as fuck, but it's a pretty trivial result by itself (basic application of Fundamental Theorem of Calculus), the difficulty is setting up all the machinery of manifolds, tangent spaces, forms and boundary. if you're not memeing and really want to learn all of this, go for Tu's Intro to Manifolds, it's a very good introduction that only requires basic topology and multivariable calculus. Lee's Intro to Smooth Manifolds is also very good, but a tougher, Lee's (different one) Differentiable Manifolds is even tougher
 >> Anonymous Sat Sep 24 00:38:18 2022 No.14869959 >>14869907>>14869891>>14869426I like the book, but if you want to work through it you *have* to use one of the websites detailing all errata, because there are so many mistakes and typos.
 >> Anonymous Sat Sep 24 07:04:12 2022 No.14870547 >>14869438>the version that replace every he with a sheunironically how did this happen?
 >> Anonymous Sat Sep 24 07:32:04 2022 No.14870589 >>14867682Zorich
 >> Anonymous Sat Sep 24 09:17:33 2022 No.14870697 Munkres' Analysis on Manifolds
 >> Anonymous Sat Sep 24 11:31:56 2022 No.14870880 >>14870751bro wtf are you talking about
 >> Anonymous Sat Sep 24 20:04:52 2022 No.14872184 >>14867682Aside from the trolling in this post, the best book that really got me to understand what was really going down with Stokes' theorem and differential forms was by far "A Visual Introduction to Differential Forms and Calculus on Manifolds" by $\textit{Jon Pierre Fortney}$
 >> Anonymous Sat Sep 24 20:44:09 2022 No.14872262 File: 167 KB, 394x372, laughingpepe.png [View same] [iqdb] [saucenao] [google] >>14867728>Larry Capija
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