Analysis

Learn Fourier & Harmonic Analysis

Decomposing signals into frequencies: Fourier series and convergence (Dirichlet, Fejér, Gibbs), the Fourier transform and Plancherel, convolution, the FFT, the uncertainty principle, wavelets, the Dirac delta and distributions, and harmonic analysis on groups.

Free to start · adaptive placement finds your level · reviews timed so it stays learned.

What you'll learn

10 lessons in Fourier & Harmonic Analysis

Fourier seriesConvergence: Dirichlet, Fejér & GibbsThe Fourier transform & PlancherelConvolution & the convolution theoremParseval, energy & the spectrumThe DFT & the FFTUncertainty & time–frequency analysisWavelets & multiresolutionDistributions & the Dirac deltaAbstract harmonic analysis
How Erudia teaches

Built to be understood — and remembered.

Every idea is taught with motivation and a worked example before the drills, and an FSRS spaced-repetition engine schedules each review for the moment just before you'd forget it. A short placement check finds what you already know, so you start Fourier & Harmonic Analysis exactly where it's useful.

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