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Applied Calculus of Variations for Engineers, 2nd Edition
book

Applied Calculus of Variations for Engineers, 2nd Edition

by Louis Komzsik
June 2014
Intermediate to advanced content levelIntermediate to advanced
233 pages
5h 42m
English
CRC Press
Content preview from Applied Calculus of Variations for Engineers, 2nd Edition
1
The foundations of calculus of variations
The problem of the calculus of variations evolves from the analysis of func-
tions. In the analysis of functions the focus is on the relation between two
sets of numbers, the independent (x) and the dependent (y) set. The func-
tion f creates a one-to-one correspondence between these two sets, denoted as
y = f (x).
The generalization of this concept is based on allowing the two sets not to be
restricted to being real numbers and to be functions themselves. The relation-
ship between these sets is now called a functional. The topic of the calculus
of variations is to find extrema of functionals, most commonly ...
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Publisher Resources

ISBN: 9781482253597