Lectures related to Joseph Fourier

Unbounded and Bounded Systems: Fourier Methods

Explores the spectral properties of unbounded and bounded systems using Fourier methods and emphasizes the importance of choosing the correct representation for different boundary conditions.

Fourier Analysis: Applications and Inversion Formula

Explores Fourier analysis applications and the inversion formula in the context of periodicity and continuous functions.

Ewald Summation: Long-Range Interaction and Self-Interaction Correction

Explains Ewald summation, self-interaction correction, and short-range interaction calculations.

Approximated Boltzmann Equation & Classical Laws

Explores the approximated Boltzmann equation, classical laws, and energy transport.

Electromagnetic Waves

Covers the theory of electromagnetic waves and provides a detailed understanding of wave propagation.

Scaling & Renormalization in Statistical Mechanics

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Fourier Transform and Schwartz Space

Explores the Fourier transform, Schwartz space, and Riemann-Lebesgue lemma in quantum physics.

Fourier Analysis: Stokes Theorem

Explores the application of Stokes' theorem to surfaces and vector spaces in Fourier analysis.

Signals & Systems I: Fourier Analysis

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

Thermal Conduction: Fourier Equation Simplifications

Covers topics related to thermal conduction and the Fourier equation simplifications.

Applications of Fourier Equation

Explores applications of the Fourier equation in different heat transfer scenarios.

Wave Propagation: General Solutions

Explores the general solutions for wave propagation and Fourier transforms in periodic functions.

Signal Representations

Covers the properties of signal/data representations using Fourier transformations and matrices.

Ewald Summation: Long-range Interactions and Self-interaction Correction

Explores Ewald summation for long-range interactions and self-interaction correction in Fourier space and real space.

Heat Transfer Phenomena

Explores the applications of the Fourier equation in heat transfer phenomena, covering conduction, convection, and radiation.

Thermal Conduction: Basics and Fourier Equation

Explores thermal conduction, Fourier equation, heat flux, and specific heat in steady and unsteady regimes.

Thermal Conduction: Basics

Covers the basics of thermal conduction, including Fourier's equation and heat transfer regimes.

Thermal Conduction: Stationary vs. Unsteady

Explores thermal conduction, comparing stationary and unsteady regimes, the Fourier equation, and material thermal conductivity.

Signals, Frequencies and Bandwidth

Introduces signals, frequencies, and bandwidth, including pure sinusoids, Fourier theory, and spectral representation.

Hilbert Transform: Exercises and Key Lemmas

Covers exercises and key lemmas related to the Hilbert transform.