Fourier Series and Harmonics

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Related lectures (30)

Page 3 of 3

Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.

Differential Operators: Vector Analysis

Covers differential operators, vector analysis, Fourier analysis, and potential fields with applications to gravity.

Lebesgue Measure and Fourier Analysis

Explores Lebesgue measure, Fourier analysis, PDE applications, and optimal transport in PDEs.

Signal Representations

Covers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.

Fourier Analysis: Stokes Theorem

Explores the application of Stokes' theorem to surfaces and vector spaces in Fourier analysis.

Fourier Transform: Concepts and Applications

Covers the Fourier transform, its properties, and applications in signal processing and differential equations, demonstrating its importance in mathematical analysis.

Fourier Transform and Schwartz Space

Explores the Fourier transform, Schwartz space, and Riemann-Lebesgue lemma in quantum physics.

Fourier Series: Complex Case

Covers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.

Applications of Fourier Equation

Explores applications of the Fourier equation in different heat transfer scenarios.

Linearization and Dispersion

Covers linearization and Fourier mode analysis techniques applied to Maxwell and two-fluid equations.