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Topology Alternative Books to Rudin-PMA's Chp. 8-12

  1. Jul 21, 2016 #1
    Hello!

    What books are excellent choice to reaplace Rudin-PMA's Chapters 8-12? I am specifically interested in the easier books than Rudin that treat the analysis of functions of several variables, manifolds, and differential forms; my next goal is to study the differential geometry/topology.

    I heard Rudin's later chapters are not good as first seven chapters.
     
  2. jcsd
  3. Jul 22, 2016 #2
    I don't think you're talking about the same book I interpreted you to be. I thought you were referring to Rudin's Principles of Mathematical Analysis, but the most recent edition of that book doesn't have a chapter 12.

    However, assuming that you meant Rudin's Principles of Mathematical Analysis chapters 8-11, my current favorite text on those topics is Wendell Fleming's Functions of Several Variables.
     
  4. Jul 22, 2016 #3

    micromass

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    Last edited by a moderator: May 8, 2017
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