Basel problem

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Related lectures (10)

Basel Problem: Euler's Proof

Explores Euler's geometric proof for the Basel problem, showing how the series converges through circles and tangents.

DTFT Properties

Covers the properties of the Discrete-Time Fourier Transform, including linearity, shifts, time reversal, differentiation, convolution, conjugate symmetry, and Parseval's Relation.

Local Zeta Functions

Covers the classification of comport p-adic fields using integration and Igusa's local zeta functions.

Inverse Pythagorean Proof and Basel Exercises Solutions

Covers the inverse Pythagorean proof and provides detailed solutions to Basel exercises.

Discrete-Time Fourier Transform: Properties

Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.

Fourier Series: Parseval Identity

Covers Fourier series, Parseval identity, orthonormal basis, and Oude equation motivation.

Signals & Systems I: Fourier Analysis

Explores Fourier analysis, including reconstruction formula, Fourier series, and spectrum interpretation.

Center of Gravity: Barycenter

Explores the center of gravity in triangles and the barycenter theorem.

Integral Quadratic Lattices: Properties and Adeles

Covers non-degenerate integral quadratic lattices and adèles, including their properties and definitions.

Signals and Systems I: Fourier Transform and Spectral Analysis

Explores Fourier series, energy calculation, functional spaces, correlation spectra, and spectral density in signals and systems.

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