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Advice on complex analysis, Riemann surface & complex mappings.

  1. Jan 28, 2008 #1
    Could anybody please give advice for the study of complex analysis, Riemann surfaces & complex mappings. These subjects form the content of chapters 7 & 8 of Roger Penrose's "The Road to Reality". Any advice will do: maybe suggestions on books to supplement the learning, or books to further my study once I have grasped the principles, or anything else.
     
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  3. Jan 28, 2008 #2

    mathwonk

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    henri cartan, elementary theory of analytic functions of one and several complex variables.
     
  4. Feb 4, 2008 #3
    Thank you for the suggestion...Could somebody suggest a good introduction to Riemann surfaces & complex mappings...
     
  5. Feb 4, 2008 #4

    mathwonk

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    cartan includes this as well (see pages 188-207). if you want a more thorough, rigorous, high level treatment, try gunning's lectures on riemann surfaces, or the chapter on the topic in griffiths and harris's principles of algebraic geometry.
     
    Last edited: Feb 4, 2008
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