Lectures related to Fourier Series: Periodic Functions

Covers the Fourier series and interactions between sine and cosine functions.

Explores Fourier coefficients in trigonometric series, emphasizing even and odd functions.

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

Covers Fourier series, periodic functions, and Fourier transforms.

Explores the vibration of diatomic AB molecules and Fourier series, emphasizing equations of motion and Dirichlet's theorem.

Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.

Explores odd and even functions in Fourier series applications, including half-range series and cosine/sine series.

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

Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.

Covers the concept of Fourier series and their practical applications in signal processing.

Explores real functions, covering parity, periodicity, and polynomial functions.

Covers functions, including even and odd functions, periodicity, and function operations.

Explores Fourier series coefficients, periodicity, and series relations.

Explores trigonometric polynomials, periodicity, and Fourier coefficients in mathematical analysis.

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

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

Explores neural networks, activation functions, backpropagation, and PyTorch implementation.

Explores the theory and applications of Fourier series, including convergence properties and piecewise-defined functions.