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What do you think of these two books about Geometry?

  1. Mar 25, 2004 #1
    What do you think of these two books about Geometry??

    1. A.T. Fomenko, S.P. Novikov, Modern Geometry-Methods and Applications PartI,II,III
    2. Phillip Griffiths ,Joseph Harris , Principles of Algebraic Geometry

    What's the main difference between these two books?
    Which one is more suitable for a physist?
    Thanks!
     
  2. jcsd
  3. Mar 25, 2004 #2

    jeff

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    (1) A.T. Fomenko, S.P. Novikov, Modern Geometry-Methods and Applications PartI,II,III

    These survey the geometry and topology of smooth manifolds from both the differential and algebraic viewpoints, and in a language and using examples that make it especially accessible and useful for physicists, and certainly more useful than...

    (2) Phillip Griffiths ,Joseph Harris , Principles of Algebraic Geometry

    This covers algebraic geometry from the standpoint of complex manifolds (as opposed to the more abstract but more general algebraic perspective, which at this point appears to be of little use in physics, including in string theory) and is still the standard reference in the field.

    At this point, (1) is much more useful for a physicist than (2).
     
  4. Mar 25, 2004 #3
    Algebraic geometry allows the mathematical objects that have isolated, and sometimes not so isolated, singularities, which are forbidden from manifold theory, the thrust of differential geometry.
     
  5. Mar 25, 2004 #4
    What do you think of these two books about Geometry??

    1. A.T. Fomenko, S.P. Novikov, Modern Geometry-Methods and Applications PartI,II,III
    2. Phillip Griffiths ,Joseph Harris , Principles of Algebraic Geometry

    What's the main difference between these two books?
    Which one is more suitable for a physist?
    Thanks!
     
  6. Mar 25, 2004 #5

    Hurkyl

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    Gold Member

    Have you asked this enough times, yet?
     
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