2015 | OriginalPaper | Buchkapitel
Multivariate Differential and Integral Calculus
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The aim of this
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is to present the differential calculus of multivariate functions in the framework of finite dimensional real vector spaces; the case of a 2-dimensional space having been dealt with in Chap. III,
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5, we will mostly generalize the results, the proofs being the same as in dimension 2. Nonetheless, this
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also contains considerations about tensors that are not found everywhere.