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I'm interested in working through the book : "Calculus of Variations" by Gelfand and Fomin. However, I lack the pre-requisites to do so (I'm familiar with linear algebra and one-variable calculus only). Could anyone tell me which of these would be the shortest path to mastering the pre-requisites?

  1. Advanced Calculus - Loomis and Sternberg OR
  2. Calculus on Manifolds - Michael Spivak along with Hurewicz's Diffrential Equations
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you need to know some differential equations and it would help to have knowledge of ideas from functional analysis, but the book doesn't assume much beyond calculus/differential equations –  butt Aug 7 '12 at 23:24
    
I see. Thank you. –  Ishihara Aug 29 '12 at 14:38

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