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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1Vector and Tensor Algebra
1.1 Points and Vectors
Consider the three‐dimensional Euclidean space, denoted by 
, whose geometry is built upon a set of primitive elements called points. Note that 
is not a vector space in the sense of the algebra because the addition of points is a concept without meaning.
The difference between two points 
and 
of space 
is defined by
where 
is the vector whose origin is in 
and ends at 
. All the vectors which can be determined through the differences between points belonging to form the set associated with . The set is a (real) vector space, where the ...
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