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Mathematicians who write like Vladimir Arnold

  1. Mar 28, 2012 #1
    "What he needed was a notion, not a notation" ~ Gauss.​

    I have a copy of several books by V.I. Arnold. If you have read him, then you would agree: He is one hell of a clear writer. His books contain some of the most technical information yet manages to read like novels. I want all my math books to be written with similar clarity.

    Thus far, I have found a bit of Arnold in M.A. Armstrong (Groups and Symmetry and Basic Topology), John Baez (does not write a lot of books -- but a lot of expository articles), or George Shilov (Elementary Real and Complex Analysis, Linear Algebra, Functional Analysis).

    Sheldon Axler, in the preface of Linear Algebra Done Right, claims that if one reads a page in a math book in under an hour, she is doing something wrong. He is correct, but I want a book in which I can read through it like a novel and understand the main points of the exposition without having to understand every little notational detail.

    Therefore, do you know of any authors who, like V.I. Arnold, puts in that effort to make their books as clear as possible?
  2. jcsd
  3. Mar 30, 2012 #2
    John Milnor.
  4. Mar 31, 2012 #3
    I've only read the first 2 chapters but I plan on reading this book in the summer --> Visual Complex Analysis by Tristan Needham. It's incredible.

    I later found this thread on MO about books in this style: http://mathoverflow.net/questions/3...h-books-close-to-the-style-of-tristan-needham

    Hopefully, homeomorphic jumps in this thread because that's where I heard about VCA by Needham.
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