Help with Linear Functions

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Zantos

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Jan 5, 2011
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Does anyone of considerable mathematical knowledge know where on paper or the internet there lies analytical proofs of linearity conditions, along with the full on analytical tests for linearity? I'm not just talking f(x + y) = f(x) + f(y) and all that jazz, I mean the full shebang with all the epsilons and deltas. I've checked my real analysis bible (Hart) but can't seem to find it in there, and as I've expected from previous experience, Google isn't being as helpful as I'd like searching for proofs of the formal kind.

Cheers :)