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Advanced Math For Physics: A Complete Self-Study Course
Getting Started
Welcome! (Start Here)
Navigating The Course Platform
Additional Resources
Part 1: Physics With Calculus
Download The Part 1 Book Here
Part 2: Vector Calculus
Part 2 Introduction & Resources
Scalar & Vector Fields
Multivariable Calculus & Partial Derivatives
Double & Triple Integrals
Gradient, Divergence, Curl & Laplacian
Parametric Curves & Surfaces
Line Integrals & Surface Integrals
Stokes' Theorem & The Divergence Theorem
The Helmholtz Decomposition Theorem
Bonus Part: Vector Calculus In Curvilinear Coordinates
Introduction To Curvilinear Coordinates
Integrals In Curvilinear Coordinates
Gradient, Divergence, Curl & Laplacian More Generally
Part 3: Calculus of Variations
Part 3 Introduction & Resources
Introduction To Calculus of Variations
Functional Derivatives & Variations
The Euler-Lagrange Equation & Beltrami Identity
Examples & Applications of Variational Calculus (Part 1/2)
Solutions of The Geodesic & Brachistochrone Problems (Part 2/2)
Constrained Optimization & Lagrange Multipliers
Mathematics of General Relativity: A Complete Course
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The Helmholtz Decomposition Theorem
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