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Books on differential geometry

  1. Oct 5, 2012 #1
    As the title says. Can anyone recommend me some good books for differential geometry(preferably ones with proofs and examples/exercises)?
  2. jcsd
  3. Oct 5, 2012 #2


    Staff: Mentor

  4. Oct 5, 2012 #3
    What level should the books be?? Undergrad, grad? Do you know topology, analysis, linear algebra,...??
  5. Oct 5, 2012 #4
    Thanks i'll be sure to check them out.

    It's an undergrad course but i want to do some preliminary reading. Yes to both analysis and linear algebra, but no to topology.
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  6. Oct 5, 2012 #5
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  7. Oct 5, 2012 #6
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  8. Oct 6, 2012 #7
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  9. Oct 7, 2012 #8
    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.
  10. Oct 7, 2012 #9
    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.
  11. Oct 17, 2012 #10
    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.)
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