2Vector and Tensor Analysis

2.1 Differentiation

In this chapter we will introduce a notation for the concept of differentiation abstract enough to include in the definition functions images of the kind

(2.1)equation
(2.2)equation

where images and images are, respectively, the domain of images and the image under the transformation images, also called the codomain of images.

Let images and images be two normed vector spaces. For the purpose of the present chapter, we will consider that these spaces are finite‐dimensional. Suppose is defined in a neighborhood ...

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