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The Best Analysis On Manifolds of 2023 – Reviewed and Top Rated
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- Munkres, James R. (Author)
- English (Publication Language)
- 380 Pages - 09/01/1997 (Publication Date) - CRC Press (Publisher)
- Richard L. Bishop (Author)
- English (Publication Language)
- 288 Pages - 12/01/1980 (Publication Date) - Dover Publications (Publisher)
- Hardcover Book
- Fortney, Jon Pierre (Author)
- English (Publication Language)
- 480 Pages - 11/15/2018 (Publication Date) - Springer (Publisher)
- Boumal, Nicolas (Author)
- English (Publication Language)
- 358 Pages - 03/16/2023 (Publication Date) - Cambridge University Press (Publisher)
- Gadea, Pedro M. (Author)
- English (Publication Language)
- 644 Pages - 01/29/2015 (Publication Date) - Springer (Publisher)
- Tu, Loring W. (Author)
- English (Publication Language)
- 428 Pages - 10/06/2010 (Publication Date) - Springer (Publisher)
- Hardcover Book
- Wells, Raymond O. (Author)
- English (Publication Language)
- 312 Pages - 10/31/2007 (Publication Date) - Springer (Publisher)
- Used Book in Good Condition
- Hardcover Book
- Hsu, Elton P. (Author)
- English (Publication Language)
- 281 Pages - 02/05/2002 (Publication Date) - Amer Mathematical Society (Publisher)
- Used Book in Good Condition
- Rosenberg, Steven (Author)
- English (Publication Language)
- 188 Pages - 01/28/1997 (Publication Date) - Cambridge University Press (Publisher)
- Amazon Kindle Edition
- Trendafilov, Nickolay (Author)
- English (Publication Language)
- 470 Pages - 09/15/2021 (Publication Date) - Springer (Publisher)
- Raymond O'Neil Wells (Author)
- English (Publication Language)
- 260 Pages - 12/29/1980 (Publication Date) - Springer (Publisher)
- Brzeziński, Juliusz (Author)
- English (Publication Language)
- 310 Pages - 04/03/2018 (Publication Date) - Springer (Publisher)
- Alexander Grigor'yan (Author)
- English (Publication Language)
- 482 Pages - 11/20/2012 (Publication Date) - American Mathematical Society (Publisher)
- Nicolaescu, Liviu I (Author)
- English (Publication Language)
- 700 Pages - 10/09/2020 (Publication Date) - WSPC (Publisher)
- Kashiwara, Masaki (Author)
- English (Publication Language)
- 522 Pages - 12/01/2010 (Publication Date) - Springer (Publisher)
- Used Book in Good Condition
- Hardcover Book
- Absil, P.-A. (Author)
- English (Publication Language)
- 240 Pages - 12/23/2007 (Publication Date) - Princeton University Press (Publisher)
- Used Book in Good Condition
- Elworthy, K. D. (Author)
- English (Publication Language)
- 348 Pages - 10/29/1982 (Publication Date) - Cambridge University Press (Publisher)
- Used Book in Good Condition
- Pollicott, Mark (Author)
- English (Publication Language)
- 172 Pages - 02/26/1993 (Publication Date) - Cambridge University Press (Publisher)
- Hardcover Book
- Cnops, Jan (Author)
- English (Publication Language)
- 208 Pages - 07/31/2002 (Publication Date) - Birkhäuser (Publisher)
- Hardcover Book
- Prykarpatsky, A.K. (Author)
- English (Publication Language)
- 559 Pages - 06/30/1998 (Publication Date) - Springer (Publisher)
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FAQ:
Q: Is there a book called analysis on manifolds?
A: “Analysis on Manifolds” is a leisurely (more than twice as long as Spivak) and well-motivated exposition of much of the same topics as “Calculus on Manifolds” and even a few advanced topics like de Rham groups and manifolds in spaces other than R^n and uses figures throughout to aid in explaining geometric concepts.
Q: Why did Robert spivaks write calculus on manifolds?
A: Spivaks book Calculus on Manifolds became famous because of the rather ingenious proof of Stoke’s Theorem in his original course notes. The book was published, it seems, simply to make that proof and the associated machinery, which at the time were somewhat novel, widely accessible.
Q: When do you apply derivative to a manifold?
A: In Chapter III the concept of derivative is transferred to manifolds. This leads to tangent spaces and tangent mappings and is used to get a notion of sub objects and quotient objects of manifolds. Ordinary di\\u000berential equations on manifolds are introduced in Chapter IV.