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Best books for Differential Geometry? 
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#19
Feb1005, 03:40 PM

Sci Advisor
HW Helper
P: 9,470

here is another free book, without tensor machinery.
last topic on this webpage. http://www.math.uga.edu/~shifrin/ 


#20
Jan1108, 07:30 AM

P: 1

Hi,
Mechanics in differential geometry by Yves Talpaert (Springer) is a comprehensive and very useful book, both in differential geometry and physics. Greg 


#21
Jan1308, 05:43 PM

P: 6

i'm a third year math student and the best one i've come across is 'differential geometry, schaum's outline series, authermartin lipschultz'. hope this is helpfull.



#22
Nov1709, 06:06 AM

P: 95

My geocities.com/rsharipov site is now off. Use the following two sites for my books:
http://ruslansharipov.ucoz.com http://freetextbooks.narod.ru 


#23
Nov1909, 06:11 PM

P: 707

I do not recommend Hicks's book. It is not intuitive and much of the material is just thrown at you. The center of differential geometry is the theory of connections. Hick's treament I found unreadable. If anything use it as a reference. Spivak's book is probably great but it is big. If you want to learn diff geo for physics then read a book on General Relativity but not Wald. That book is tough and nonintuitive. Try A first course in GR by Schutz. 


#24
Nov2309, 09:42 AM

P: 127

Just started with Elementary Differential Geometry by Andrew Pressley and the book seems great for selfstudy.



#25
Nov3009, 10:47 PM

P: 491

The books I started with: John Lee's Smooth Manifolds, Boothby, Spivak's Calculus on Manifolds
The books I reach for now: Hirsch's Differential Topology, Kobayashi and Nomizu The advice I'd offer the newcomer is to steer well clear of "easy" intros to differential geometry. Dependence on coordinate systems especially is a habit you'd rather never develop. 


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