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Lecture
Fourier Series: Examples
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Related lectures (31)
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Fourier Series and Equations
Covers Fourier series, periodic functions, and Fourier transforms.
Fourier Transform: L^2 Analysis
Explores the Fourier transformation on L^2, emphasizing convergence and density in Fourier analysis.
Functions and Periodicity
Covers functions, including even and odd functions, periodicity, and function operations.
Probability and Statistics
Covers mathematical concepts from number theory to probability and statistics.
Harmonic Analysis: Classical Theory and Fourier Series
Covers classical harmonic analysis on the circle, Fourier series convergence, and applications in PDEs.
Fourier Series: Extension and Periodicity
Covers the extension and periodicity of Fourier series and the interpretation of coefficients.
Real Functions: Definitions and Properties
Explores real functions, covering parity, periodicity, and polynomial functions.
Fourier Coefficients: Trigonometric Series
Explores Fourier coefficients in trigonometric series, emphasizing even and odd functions.
Products and Convolution of Transforms
Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.
Fourier Series: Applications and Examples
Explores the application of Fourier series and the challenges of using multiple methods to solve problems.