Все публикации

0:20:38

How convolutions in the path integral lead to the Schrodinger equation

0:18:34

Heuristic Derivation of Path Integrals from Classical Field Theory (including Schwinger Principle)

0:10:41

Reynolds transport theorem: derivatives of time-dependent volume integrals

0:20:51

Gauss Curvature and proof of Gauss Theorema Egregium

0:22:11

Normal curvature and principal curvatures (surfaces in 3 dimensions)

0:20:08

Gradient in spherical coordinates (derivation using concepts of tensor calculus and linear algebra)

0:28:52

Derivation of the strain tensor in spherical coordinates

0:12:12

Fourier series expansion for thin plates

0:41:40

Physics of thin plates derived from the variational principle (bending and twisting moments, etc)

0:30:40

Classical Theory of Thin Plates derived from the Action Principle

0:12:11

Minimal surfaces in calculus of variations

0:12:18

Markowitz Model for risk minimization in a financial portfolio

0:11:16

Derivation of the strain tensor in the theory of elasticity

0:15:15

Black Scholes equation: mathematical derivation

0:13:20

Interesting Fourier series in 2 dimensions

0:12:19

Geodesics on surfaces of revolution

0:20:53

Maupertuis principle derived from the more general action principle

0:18:36

Poisson brackets and analogies with Quantum Mechanics

0:15:59

Calculation of Inverse Laplace Transform using residues

0:22:14

Lorentz transformations and the Invariant Element in Special Relativity (Mathematical Derivation)

0:08:23

Intro to the Laplace Transform from the Fourier Transform

0:15:55

differential equation with Dirac delta and boundary conditions

0:15:57

Problem on multiple convolutions, Fourier Transforms, Distributions (edited)

0:16:06

Faddeev Popov Ghost and Path Integrals