Mathematical Methods

The heavier maths (complex numbers, linear algebra, series and transforms) behind waves, circuits and quantum mechanics. Come here when another topic sends you.

Complex Numbers: The Argand Plane Basis & Vector Spaces Matrices as Transformations: 2D Space Matrices as Transformations: 3D Space Time Averages: What ⟨ ⟩ Means Probability & the Central Limit Theorem Taylor & Maclaurin Series Fourier Series: Building Waves from Sines Legendre Polynomials & Spherical Harmonics Bessel Functions: Circular & Spherical Waves Hermite Polynomials Divergence, Curl & the Theorems of Gauss and Stokes The Heat Equation & Separation of Variables The Fourier Transform: Winding a Signal Around a Circle The Laplace Transform: Poles, Zeros & the s-Plane Numerical Methods for Differential Equations Index Notation & the Einstein Summation Convention Index Notation in Practice: Expanding the Sums Dirac Matrices: The Gamma Matrices & the Square Root of Relativity Degrees of Freedom & Configuration Space Symmetry Transformations
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