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Good books/courses to supplement Differential Geometry

  1. Dec 12, 2012 #1
    So I will be taking Introduction to DIfferential Geometry for the first time and we are using a book called

    "Elementary Differential Geometry, Andrew Pressley,"


    And we will cover topics the first six chapters including: Geometry of curves, Gaussian Curvature and Gauss Map, Egregium, and Geodesics, Gauss-Bonnet Theorem

    What other books/courses I should take to supplement my studies? I am a math major

    I am also taking functional analysis, and going through "Analysis on Manifolds by Munkres" and "Calculus on Manifolds by Spivak" to supplement.

    I have a pretty good foundation of rudimental computation in calculus already. Which area of Linear Algebra should I work on to further improve my success in Diff Geometry?

    Thanks
     
  2. jcsd
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