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Introduction book to Differential Geometry

  1. Jun 19, 2016 #1
    Hello everyone, i've 2 books on manifolds theory in e-form:
    1) Spivack, calculus on manifold
    2) Munkres, analysis on manifold
    What would be good to begin with? :oldconfused:
    Thank you in advance
  2. jcsd
  3. Jun 19, 2016 #2
    1) Neither of those covers differential geometry. They only cover calc III made rigorous.
    2) You need to give us way more information about you, your background, your goals, your (dis)likes,etc. if you want a good anwer.
  4. Jun 19, 2016 #3


    Staff: Mentor

  5. Jun 20, 2016 #4
    No, i'm apologize the post title was wrong :sorry:. I meant the diff manifold book, which is better?
  6. Jun 20, 2016 #5
    Munkres is a bit easier, and the exercises in Spivak are better.

    If you own both, I'd recommend working through Spivak, and reading the parallel sections in Munkres when you need more explanation.
  7. Jul 9, 2016 #6


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    I have not studied it from front to cover and have nothing to compare with but Lee - introduction to smooth manifolds is considered to be a gem
  8. Jul 9, 2016 #7
    Yes but Lee's book isn't more for pure mathematicians, than physicist ? :olduhh:
  9. Jul 9, 2016 #8
    How are we supposed to give you suitable recommendations if you ignore our posts and tell us nothing about you, your background, your goals, your (dis)likes,etc.
  10. Jul 9, 2016 #9

    George Jones

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    How about Fecko, then? Fecko has lots of examples given as short exercises.

    Last edited by a moderator: May 8, 2017
  11. Jul 9, 2016 #10


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    If I remember correctly, Spivak require pretty much background knowledge of the subject.
  12. Jul 10, 2016 #11
    My current math background includes analysis 1,2 and general topology!!
  13. Jul 10, 2016 #12


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    and your goal is physics?
  14. Jul 10, 2016 #13
    Yes , sorry i should have put it, i forgot write it up!!
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