Mandelbrot Set Courses and Certifications

3Blue1Brown

Beyond the Mandelbrot Set - An Intro to Holomorphic Dynamics

Explore holomorphic dynamics, iterative complex functions, and fractals. Delve into Mandelbrot sets, fixed points, cycles, and Julia sets for a fascinating journey through mathematical visualization.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Intersection Theory and the Mandelbrot Set

Explores the Mandelbrot set's connections to arithmetic intersection theory, revealing new insights into this complex mathematical object. Joint work with Myrto Mavraki.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Banach Center

The Mandelbrot Set and Its Satellite Copies

Explore the fascinating world of the Mandelbrot set and its satellite copies, delving into complex mathematical concepts and intricate geometric patterns.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Big Ideas In Dynamics

Sharkovsky Ordering on the Mandelbrot Set

Explore Sharkovsky ordering's application to the Mandelbrot set, uncovering fascinating connections between discrete dynamics and complex analysis.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Tom Rocks Maths

Mandelbulbs - The Search for a 3D Mandelbrot Fractal

Explore the fascinating world of 3D fractals, from natural examples to complex mathematical constructs like Mandelbulbs, with insights into fractal dimensions and generation techniques.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Polyfjord

Extracting Beauty From the Mandelbrot Set Using Blender

Master real-time Mandelbrot fractal rendering in Blender 5.0 using Repeat Zone nodes and create stunning visual effects like "The Cloak of Mandelbrot" with custom shaders and animations.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Banach Center

On a Mandelbrot-Like Set for a Family of Exponential Maps

Explore the intricacies of Mandelbrot-like sets in exponential map families, delving into complex mathematical concepts and their applications.

• YouTube
• 26 minutes
• On-Demand
• Free Video

3Blue1Brown

Fractals Are Typically Not Self-Similar

Explore fractal dimension, self-similarity, and scaling in this engaging explanation that challenges common misconceptions about fractals and their properties.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

The Modular Mandelbrot Set

Explore the Modular Mandelbrot set in this dynamic talk by Luna Lomonaco, part of a conference celebrating Marcelo Viana's 60th birthday and showcasing cutting-edge developments in dynamical systems.

• YouTube
• 48 minutes
• On-Demand
• Free Video

TED

Fractals and the Art of Roughness

Explore the complexity of roughness and discover order in seemingly chaotic patterns through fractal mathematics with legendary mathematician Benoit Mandelbrot in this thought-provoking TED talk.

• YouTube
• 21 minutes
• On-Demand
• Conference Talk

Coding Train

Coding a 3D Fractal

Learn to visualize the 3D Mandelbulb fractal using Processing (Java). Explore triplex numbers, spherical coordinates, and point cloud rendering techniques to create stunning fractal visualizations.

• YouTube
• 28 minutes
• On-Demand
• Free Video

TED-Ed

Fractals and the Art of Roughness

Explore the fascinating world of fractals and roughness with mathematician Benoit Mandelbrot, uncovering order in seemingly chaotic patterns and their applications across various fields.

• YouTube
• 17 minutes
• On-Demand
• Conference Talk

Mandelbrot, 1/f Noise, and The Mind's Eye in Complexity Science

Exploring Mandelbrot's contributions to 1/f noise, long-range dependence, and fractional models. Discusses the impact of cognitive diversity on scientific progress and the importance of visual thinking in mathematics.

• YouTube
• 50 minutes
• On-Demand
• Free Video

ICTP Mathematics

Fractal Dimensions in Nature and Mathematics - 2019

Explore fractal dimensions in nature and math, from intuitive integer dimensions to non-integer fractals. Learn alternative definitions, simple examples, and applications in dynamical systems.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Canonical Ubuntu

Introduction to Numerical Computation Applications Using Ubuntu WSL

Explore numerical computing on Ubuntu WSL for efficient solver development and deployment, with practical examples and insights on streamlining workflows for complex engineering problems.

• YouTube
• 11 minutes
• On-Demand
• Free Video