Vector Analysis: Applications and Operators

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Related lectures (32)

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 Analysis: Fourier Series and Transform

Explores Fourier series, DFT, FFT, and their applications in signal processing and spectroscopy.

Fourier Transform and Schwartz Space

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

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Mathematical Methods for Physicists: Differential Equations and Special Functions

Covers solving differential equations and special functions essential for physicists, emphasizing practical problem-solving skills.

Wave Propagation: General Solutions

Explores the general solutions for wave propagation and Fourier transforms in periodic functions.

Fourier Transform: Inversion Formula

Covers the Fourier transform inversion formula with examples and exercises for verification.

Fourier Optics: Wavefront Analysis

Explores Fourier optics, diffraction principles, Fourier analysis, and the application of Fourier transform in optics.

Free Propagation and Heat Equation

Covers free propagation and the heat equation solution, discussing momentum preservation and Fourier multipliers.

Signals & Systems I: Fourier Analysis

Explores Fourier analysis, including reconstruction formula, Fourier series, and spectrum interpretation.

Divergence of Vector Fields

Explores divergence of vector fields, rotational definitions, and integral derivation applications.

Fourier Analysis: Stokes Theorem

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

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