Harmonic Analysis: Classical Theory and Fourier Series

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Page 3 of 4

Explains limits at right and left endpoints, convergence conditions, and function behavior near specific values.

Introduces the fundamentals of functions in microcontroller programming, emphasizing naming rules and step-by-step development.

Explores Taylor's formula in two variables, emphasizing its application and importance for functions of a single variable.

Covers the study of convergence of sequences, integrals, and functions.

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

Explores fixed point theorems, recurrent sequences, and convergence properties, emphasizing the significance of fixed points in analysis.

Covers mathematical concepts from number theory to probability and statistics.

Covers entropy, its definition, and its implications in thermodynamics.

Covers the definitions and notations related to functions.

Explores convergence criteria for series and functions, including the squeeze theorem and D'Alembert's criterion.