Epicycles, Complex Fourier Series and Homer Simpson's Orbit
Explore the mathematics of epicycles, complex Fourier series, and their applications in creating intricate drawings, including a surprising look at the Moon's orbit around the Sun.
Fourier Series
Explore Fourier Series: representation of functions, L2 integral norm, and MATLAB examples. Gain practical insights into engineering mathematics with real-world applications.
Infinite Dimensional Function Spaces and Fourier Series
Explore infinite dimensional function spaces and Fourier series, covering inner product spaces, orthogonal functions, and complex functions in engineering mathematics.
Fourier Transforms
Explore the powerful Fourier transform, its applications in engineering, and its connection to orthogonal basis functions and Fourier series in this comprehensive mathematical lecture.
An Interesting Infinite Sum, Featuring Fourier Series
Explore the derivation of a closed form for the infinite sum cos(n)/n^4 using Fourier series, featuring integration by parts and coefficient analysis.
Integral of (ln(cos x))^2
Explore advanced integration techniques using Fourier series to solve a challenging definite integral involving logarithms and trigonometric functions.
Finite Approximations as a Tool for Studying Triangulated Categories
Explore finite approximations in triangulated categories, covering metrics, Fourier series, and surprising new results with applications in algebraic geometry and category theory.
Oxford Calculus - Fourier Series Derivation
Comprehensive derivation of Fourier Series coefficients, covering orthogonality relations, integration techniques, and uniform convergence. Includes practical examples and a free worksheet for hands-on practice.
R. Kashaev - The Connection Between Integrals and Fourier Series
Explore the intricate relationship between integrals and Fourier series, delving into mathematical concepts that bridge these fundamental analytical tools in advanced calculus and mathematical physics.
Hyperbolic Fourier Series
Explore advanced mathematical concepts in hyperbolic Fourier series, delving into complex analysis and function spaces with expert insights from Håkan Hedenmalm.
Advanced Engineering Mathematics
Comprehensive exploration of advanced mathematical concepts, including complex analysis, transforms, probability, linear algebra, and more, with applications to engineering problems.
Numerical Solution to Laplace's Equation in Matlab - Intro to Fourier Series
Explore numerical solutions to Laplace's Equation using MATLAB and get introduced to Fourier Series in this engineering mathematics lecture, with practical code examples and comprehensive notes provided.
Complex Numbers in Fourier Series and Quantum Mechanics
Explore complex numbers in harmonic analysis, focusing on the unit circle. Learn about Laplacian operators, harmonic polynomials, and integration theory, with applications to quantum mechanics and physics.
Laplace Transform of Periodic Function - Engineering Mathematics Problem
Learn to apply Laplace transforms to periodic functions, focusing on square waves. Gain practical skills for solving engineering math problems involving periodic signals.
Star Wars Fourier Lightsaber - Power Generation Analysis
Explore the power requirements of Star Wars lightsabers using Fourier series analysis, blending physics concepts with pop culture in an engaging 21-minute video.
Star Wars Fourier Lightsaber - Episode A
Explore the physics behind Star Wars lightsabers using Fourier series. Learn to model lightsaber behavior with code, blending sci-fi imagination with real-world mathematical concepts.
Anomalous Dissipation and the Strong Onsager Conjecture - Part 3: From Fourier Series to Wavelet Series
Explore advanced concepts in turbulent flows, focusing on anomalous dissipation and the Strong Onsager Conjecture. Delve into mathematical techniques transitioning from Fourier to wavelet series analysis.