Insights into Mathematics Courses

Number Systems Ancient to Modern - The Babylonians - Sociology and Pure Maths

Explore ancient Babylonian mathematics, including their base-60 system, arithmetic tables, and problem-solving techniques. Gain insights into historical mathematical practices and their relevance today.

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

The Pentagon and Numbers Games - A Dualization of the Mutation Game

Explore the duality between the Pentagon Game and Numbers Game, examining their connections to graph dynamics and mathematical structures like ADE graphs and weight lattices.

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

The One Dimensional Random Walk Hypergroup - Diffusion Symmetry

Explore affine transformations, representation theory, and random walks on a 1D lattice. Learn about hypergroups and calculate probabilities in this advanced mathematics lecture.

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

Curt Jaimungal Interview and Theories of Everything - Sociology and Pure Maths

Exploring diverse topics from physics and mathematics to consciousness and UFOs, this wide-ranging interview delves into theories of everything, sociological aspects of science, and the intersection of academic disciplines.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

The Square Lattice via Group D4 and Its Hypergroups - Diffusion Symmetry

Explore hypergroups and their connection to symmetry in the square lattice, focusing on the D4 group and its character table. Learn about orthogonality relations in hypergroup character tables.

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

Particle Collisions, Hypergroups and Quadratic Residues - Diffusion Symmetry 3

Explore particle collision models, hypergroups, and quadratic residues in algebraic structures. Learn about fusion rule algebras, complete graphs, and primitive roots in prime fields.

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

History of Geometry IV - The Emergence of Higher Dimensions - Sociology and Pure Maths

Explore the emergence of higher dimensions in 19th-century geometry, including projective geometry, cyclography, and spaces of lines and curves, revolutionizing our understanding of mathematical spaces.

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

The S3 Character Table - A New Meaning - Diffusion Symmetry

Explore the S3 character table from a diffusion symmetry perspective, uncovering new interpretations in group theory, combinatorics, and algebraic structures.

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

A New Paradigm for Mathematics and Physics - Diffusion Symmetry

Exploring diffusion symmetry as a new paradigm for understanding symmetry in mathematics and physics, offering insights into group theory, character tables, and fusion rule algebras.

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

A Brief History of Geometry III - The 19th Century - Sociology and Pure Mathematics

Explore the golden age of geometry in the 19th century, covering inversive, projective, non-Euclidean, and complex geometries. Understand key developments and their impact on modern mathematics.

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

Go Lesson - Opening Play with the 3-4 Point and Low Approach Move - Playing Go - N J Wildberger

Explore essential Go opening patterns, focusing on the 3-4 point and low approach move. Learn common joseki, shapes, and strategies to improve your game's early stages.

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

Calculus and Affine Geometry of the Magical Parabola - Algebraic Calc and DCB Curves 3 - Wild Egg

Explore affine geometry and the parabola's unique properties in algebraic calculus, focusing on parallelism and linear algebra concepts without relying on traditional Euclidean definitions.

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

Polynumbers and De Casteljau Bezier Curves - Algebraic Calculus and DCB Curves - N J Wildberger

Explore polynumbers and de Casteljau Bezier curves in algebraic calculus. Learn new formulas for planar integration and use GeoGebra to visualize these remarkable curves, with applications in design and animation.

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

Emile Borel - Real Number Enthusiast or Skeptic? - Sociology and Pure Mathematics

Explore Emile Borel's contributions to measure theory and his skepticism about real numbers, including normal numbers and the intriguing concept of a "know-it-all" number.

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

A Brief History of Geometry - Sociology and Pure Mathematics

Explore geometry's evolution from ancient times to 1400 AD, covering key theorems, Platonic solids, and applications in astronomy, surveying, and construction. Highlights include Islamic contributions to spherical geometry.

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