• Support PF! Buy your school textbooks, materials and every day products Here!

Books on differential geometry

  • Thread starter WittyName
  • Start date
  • #1
7
0

Main Question or Discussion Point

As the title says. Can anyone recommend me some good books for differential geometry(preferably ones with proofs and examples/exercises)?
 

Answers and Replies

  • #3
22,097
3,278
As the title says. Can anyone recommend me some good books for differential geometry(preferably ones with proofs and examples/exercises)?
What level should the books be?? Undergrad, grad? Do you know topology, analysis, linear algebra,...??
 
  • #4
7
0
Thanks i'll be sure to check them out.

What level should the books be?? Undergrad, grad? Do you know topology, analysis, linear algebra,...??
It's an undergrad course but i want to do some preliminary reading. Yes to both analysis and linear algebra, but no to topology.
 
Last edited by a moderator:
  • #5
22,097
3,278
Last edited by a moderator:
  • #7
990
57
Last edited by a moderator:
  • #8
150
0
I also like do Carmo for the basic curves and surfaces stuff. Once you learn a little topology (not much) you should check out Spivak (especially Volumes 1 and 2). Spivak's differential geometry books are awesome.
 
  • #9
57
15
The book by Do Carmo was pretty good. I used it as a supplement in my differential geometry course in college, although it was a little bit advanced for me because it was the first time that I had ever seen any of the material.

A great introductory book is Barrett O'Neil's Elementary Differential Geometry. It has a lot of worked problems and solutions in the back so you can check yourself.

For more problems, try the Schaum's Outline of Differential Geometry

There isn't a perfect overlap of content and notation between these books, but I found that it was more than enough to do well in differential geometry. One thing to remember (which I learned the hard way!) is that 80% of the difficulty is understanding notation! So, the more resources, the better.
 
  • #10
216
1
If you're coming at this from a physicist's point of view, both Nakahara's and Chris Isham's books on differential geometry are great. (Google is your friend, etc.)
 

Related Threads for: Books on differential geometry

  • Last Post
2
Replies
40
Views
9K
  • Last Post
Replies
2
Views
7K
Replies
8
Views
6K
  • Last Post
Replies
10
Views
1K
Replies
5
Views
3K
  • Last Post
Replies
6
Views
4K
Replies
5
Views
1K
Top