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Analysis On Manifolds (Advanced Books Classics) - Mathematics Textbook for Graduate Studies & Research in Differential Geometry
$37.11
$67.49
Safe 45%
Analysis On Manifolds (Advanced Books Classics) - Mathematics Textbook for Graduate Studies & Research in Differential Geometry
Analysis On Manifolds (Advanced Books Classics) - Mathematics Textbook for Graduate Studies & Research in Differential Geometry
Analysis On Manifolds (Advanced Books Classics) - Mathematics Textbook for Graduate Studies & Research in Differential Geometry
$37.11
$67.49
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Description
A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts.
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Reviews
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Verified Buyer
5
Yes, that headline is somewhat contradictory. Allow me to explain.As an undergraduate math major decades ago, I took the standard multivariable calculus courses, which were somewhat less rigorous treatments culminating in the fundamental theorem for line integrals, Gauss' divergence theorem, and Green's/Stokes' theorems. Then I took the typical real analysis courses, which were a rigorous treatment of analysis on R (with some complex analysis). But, somehow, I ended up never taking any rigorous coursework on multivariable analysis.Since it's been so long, I was wary of trying to wade into Spivak or Rudin, especially without the benefit of a formal course. I tried Vector Calculus by Baxandall and Liebeck, but had some difficulties with some of the notation (possibly Britishisms? not sure) in differential calculus, and was also hoping for a "novice introduction" (if there is such a thing) to differential forms.So, for the reviews that complained that Munkres is too pedantic, that's exactly what I was looking for, and so far, I've been quite pleased. Being a much shorter book, it obviously goes much faster than Baxandall and Liebeck, but I've also appreciated the detail that he puts in to a small space. (I also slightly prefer his writing style over Baxandall/Liebeck.)I'm still working my way through, so I suspect I'll have to slow down significantly once I hit manifolds (something Munkres touches on in the Preface; he says the latter half of the book is more sophisticated). But I am hoping that the detail combined with somewhat more familiar notation will help ease understanding.

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