February 2020
Intermediate to advanced
608 pages
20h 42m
English
book
Introduction to the Variational Formulation in Mechanics
by Edgardo O. Taroco, Pablo J. Blanco, Raúl A. Feijóo
Content preview from Introduction to the Variational Formulation in Mechanics
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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 
of the kind
(2.1)
(2.2)
where 
and 
are, respectively, the domain of 
and the image under the transformation 
, also called the codomain of 
.
Let 
and 
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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