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Can anyone suggest a text that gives a complete/thorough treatment of calculus in Banach spaces? Perhaps something something along the lines of Chapter 2 in Manifolds, Tensor Analysis and Applications by Marsen, et. al. but more expansive?

Thanks.

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    Look for texts named "nonlinear analysis" (or something similar) in their name. You're bound to find something you like.2011-09-16
  • 0
    Related to Mark Schwarzmann's comment: many books on PDE contain material similar to this. The words Bochner integral and Frechet derivative may be useful for searches.2011-11-15

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