Lecture
Fourier Series: Harmonic Analysis
Related lectures (35)
Introduction to Quantum Mechanics
Introduces quantum mechanics, covering S-matrix, scattering amplitudes, and optical theorem.
Advanced Physics: Introduction to Mechanics
Introduces the fundamentals of advanced physics, emphasizing mechanics and historical developments from Aristotle to Newton.
Signal Representations
Covers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.
Harmonic Stability Analysis
Explores stability analysis of the 1st harmonic in closed-loop systems and the importance of harmonic conditions for limit cycles.
Generalized Integrals: Convergence and Divergence
Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.
Fourier Transform: Derivatives and Formulas
Explores Fourier transform properties with derivatives, crucial for solving equations, and introduces the Laplace transform for signal transformation.
Matrix Representations of Linear Applications
Covers matrix representations of linear applications in R³ and the invariance of rank.
Representation Theory: Algebras and Homomorphisms
Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.
Harmonic Response: Theory Summary and Manipulation Explanation
Explores harmonic response challenges, pole manipulation, and transfer function approximation in analog systems.
Scaling & Renormalization in Statistical Mechanics
Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.