Lectures related to Function Approximation: Order 5

Functions Composition: Continuity & Elements

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.

Fourier Coefficients: Trigonometric Series

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

Integration of Functions: Series and Limits

Covers the integration of functions through series and limits, focusing on the development of limit expansions and the integration of entire series.

Properties of Functions

Covers the properties of functions, including symmetry, continuity, and limits.

Continuity of Trigonometric Functions

Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.

Fourier Series and Equations

Covers Fourier series, periodic functions, and Fourier transforms.

Transforms of the Place

Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.

Gradient and Taylor Formula

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.