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I bought Spivak Calculus on Manifolds last time and I was really really disappointed... I opened the first chapters and I understood nothing of what he was saying.

But i need to understand multivariable calculus along with tensors and all that stuff to start study General relativity next semester...

Which book do you recommend me? (someone that contain everything (Partial) Differentiation (Multiple) Integration Curves and Surfaces in R3 Vector Calculus (Green's Theorem, Stokes' Theorem, Divergence Theorem) )

THANKS

16is4squared
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  • Have you studied Classical Electromagnetics yet? – pkjag Jan 18 '14 at 10:39
  • @pkjag Nope.... But I will do it before relativity – 16is4squared Jan 18 '14 at 10:42
  • Then you need to because AFAIK it offers the best practice to multivariable calculus. You should start with this http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/ then when you are done go to this http://ocw.mit.edu/courses/physics/8-02sc-physics-ii-electricity-and-magnetism-fall-2010/ – pkjag Jan 18 '14 at 10:51
  • @pkjag No I will study in the book Griffiths Introduction to electrodynamics (I already brought) but first I need a good Multi Variable Calculus book..... – 16is4squared Jan 18 '14 at 10:58
  • But i don't think you are ready for general relativity yet, for that you'll need a lot of background material like ODE's, PDE's, Special Relativity, Analytical Mechanics, Statistical Mechanics, Quantum Mechanics, Tensor Calculus, e.t.c see this http://www.staff.science.uu.nl/~hooft101/theorist.html for a complete coverage, it also has many more links. – pkjag Jan 18 '14 at 10:59
  • okay but I want to learn multivariable calculus what do you recommend me? @pkjag – 16is4squared Jan 18 '14 at 11:04
  • I recommend http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/, download the course materials at the website. – pkjag Jan 18 '14 at 11:06
  • I mean a textbook that goes in all the theorems and stuuf about multivariable calculus – 16is4squared Jan 18 '14 at 11:09
  • What makes you think that the ocw MIT course doesn't offer that. Spivak's book is more about the advanced theoretical stuff and you have to have done the practical stuff before you can read that book. And as far as i know MIT's courses are solid especially the SCs and the two courses i recommended are both SCs, if this doesn't help then go to http://math.stackexchange.com/questions/44522/theoretical-multivariable-calculus-textbooks?rq=1 or http://math.stackexchange.com/questions/155263/multivariable-calculus-book-reference?rq=1 – pkjag Jan 18 '14 at 11:16

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