1
Q
Motion of a particle in a conservattive force field
A
2
Q
The Euler-Lagrange equation
A
WIP
3
Q
Newton’s problem of mimimal resistance
A
4
Q
Constrained variational principles
A
5
Q
Elastic rods
A
6
Q
Buckling and bifurcation theory
A
7
Q
Laplace’s equation
A
8
Q
The Euler-Lagrange equation(part 2)
A
WIP
9
Q
The wave equation
A
WIP
10
Q
Hamiltonian mechanics
A
WIP
11
Q
Poisson brackets
A
WIP
12
Q
Rigid body rotations
A
WIP
13
Q
Hamiltonian PDEs
A
WIP
14
Q
Path integrals
A
WIP
15
Q
The principle of stationary action
A
16
Q
The variational derivative
A
17
Q
Derivation of Newton’s resistance functional
A
18
Q
Resistances of some simple shapes
A
19
Q
The variational problem
A
20
Q
The Euler-Lagrange equation(part1, 2)
A
21
Q
Eigenvalue problems
A
22
Q
Kinematics
A
23
Q
Equivalence with Newton’s second law
A
24
Q
Examples from mechanics
A
25
Non-radially symmetric solutions
26
Dimensional consideration
27
The persistence length of DNA
28
Energy minimizers
WIP
29
Solution by elliptic functions
WIP
30
Lyapounov-Schmidt reduction
WIP
31
Dirichlet principle
WIP
32
The direct method
WIP
33
Electrostatics
WIP
34
The minimal surface equation
WIP
35
The Legendre transform
WIP
36
Canonical coordinates
WIP
37
Spatial description
WIP
38
Body description
WIP
39
The kinetic energy
WIP
40
The rigid body Poisson bracket
WIP
41
Poisson brackets
WIP
42
Fresnel integrals
WIP
43
Stationary phase
WIP
44
The Feynman path integral
WIP
45
The Trotter product formula
WIP
46
Semiclassical limit
WIP
47
Applied Mathematics Basics
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