Master Variational Calculus & Advanced Mathematical Methods
Variational calculus, Tensors, Fourier Transforms, Residues, Path integrals, Functional calculus, groups, Optimization
4.56 (9 reviews)
296
students
33.5 hours
content
Mar 2025
last update
$44.99
regular price
What you will learn
Master the Calculus of Variations: Students will learn to derive and solve Euler-Lagrange equations, optimizing functionals to address real-world problems
Apply Integral Transforms: Students will gain proficiency in using Laplace, Fourier, and other transforms to simplify and solve complex differential equations
Understand and Utilize Tensor Analysis: Students will acquire a deep understanding of tensor theory, transformation rules, operations with tensors, and more.
Apply tensors to real-world scenarios, such as determining geodesics, understanding curvature, and calculating stress and strain in various frames
Implement Complex Analysis and Residue Calculus: Students will learn to evaluate complex integrals using residue theorems and apply these techniques to problems
Learn to effectively use Fourier transforms, Laplace transforms, and residue theory for analyzing signals, solving differential equations, and more
Apply Path Integrals and Functional Derivatives in Physics – Explore path integral formulation and functional derivatives
Analyze Physical Systems with Canonical Transformations and Hamiltonian Mechanics – Understand canonical transformations, Poisson brackets, Hamiltonian dynamics
Analyze the characteristics of the Lorentz group and Lie Algebra
Understand the Lie algebra of the Lorentz group, and how it is strictly related to the operators of momentum, angular momentum
Understand the mathematics and physical importance of such objects as spinors
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6125245
udemy ID
8/13/2024
course created date
11/16/2024
course indexed date
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