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I am searching for discrete form of Taylor's formula in n dimensions. Please share the appropriate resources.

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You can find the discrete Taylor´s formula for dimensions $1$ and $2$ in pages 28 and 914 respectively of the book Difference equations and inequalities by Ravi P. Agarwal. I guess other books in difference equations might contain formulas for higher dimensions.

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  • $\begingroup$ May I ask you what is the necessary background knowledge to work through Agarwal's book? $\endgroup$
    – user60665
    Commented Jan 30, 2015 at 15:33
  • $\begingroup$ @Dal: It is hard to tell, it is a huge book with a lot of material. But I´d say you can start and go through a big chunk of it just with a Calculus and a Linear Algebra course. $\endgroup$
    – Ramiro de la Vega
    Commented Jan 30, 2015 at 17:06
  • $\begingroup$ I see. Thank you. $\endgroup$
    – user60665
    Commented Jan 30, 2015 at 21:33

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