November 2019
Intermediate to advanced
291 pages
4h 21m
English
Content preview from Applied Calculus of Variations for Engineers, Third edition, 3rd Edition
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Notation |
Meaning |
f(x) |
Function of one variable |
f(x, y), F(x, y) |
Function of two variables |
r |
Radius of curvature |
g |
Acceleration of gravity |
r |
Vector in Cartesian coordinates |
rx |
First partial derivative with respect to x |
ry |
First partial derivative with respect to y |
First parametric derivative |
|
Second parametric derivative |
|
p |
Pressure |
s |
Arc length |
s(t) |
One-dimensional spline function |
s(u, v) |
Two-dimensional spline function |
y′(x), f′(x) |
First derivative |
y″(x), f″(x) |
Second derivative |
n |
Normal vector |
t |
Tangent vector |
b |
Bi-normal vector |
Gradient operator |
|
Δ |
Laplace operator |
κ |
Curvature |
κg |
Geodesic curvature |
κn |
Normal curvature |
κm |
Mean curvature |
δI |
Variation of integral ... |
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