Lectures related to Fourier Series: Approximation and Convergence

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Explores the limit of the quotient for sequences and the periodicity of functions.

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

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

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

Explores Fourier series properties, calculations, convergence, and coefficient significance.