Fourier Series: Examples

Related lectures (31)

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Explores the properties of Fourier transformations, including continuity, linearity, and derivatives.

Covers Fourier series for periodic functions and calculations involving Fourier coefficients.

Explores the Discrete Fourier Transform, Fast Fourier Transform, orthogonal functions, and trigonometric approximations.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Explores the motivation behind Fourier series and transforms, their fundamentals, and applications in solving differential equations.

Covers Fourier series, Parseval identity, orthonormal basis, and Oude equation motivation.

Covers the integration of functions and Fourier series with examples and exercises.

Covers the concept of distance to the origin and functions in constrained domains.

Explores Fourier transforms, including properties, convolution, Parseval's theorem, and energy spectral density for non-periodic functions.

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.