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All-encompassing book series of mathematics?

  1. Jun 19, 2008 #1
    Hi,

    I was wondering if there exists a series, much like the Landau-Lifschitz physics books, that covers every major field of mathematics in a rich, lucid and pedagogical fashion, and at the same time drawing heavily on physics for examples and motivation.

    It should at least include:
    algebra (group theory), topology (algebraic), (complex) differential geometry, analysis (fourier analysis, vector analysis and other basics), functional analysis, theory of PDEs and ODEs, probability theory and perhaps statistics.

    Thanks for any input.
     
  2. jcsd
  3. Jun 19, 2008 #2
    Springer does this, but its not really a series as its written by different authors. Still, its called an Undergradute Math Series.
     
  4. Jun 20, 2008 #3
    It sounds like you're describing any of the multitude of "Mathematical Methods for Physicists" textbooks like Boas or Arfken & Weber or Riley, Hobson & Bence. They might be a bit terser than what you're looking for, but on the other hand, any of those books will have a more uniform and unified treatment and more physical examples and motivation than individual texts on each of those topics.
     
  5. Jul 7, 2008 #4
    If it's a series of books, the schaum's outlines are quite comprehensive (no garuntees that they cover ALL of it though). Beware though, they have quite a no-frills explanation technique.

    V
     
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