Insights into Mathematics Courses

Rethinking Standard Model Numerology

Explore particle physics' Standard Model, focusing on quantum numbers, particle classifications, and novel representations of Baryon and Meson families. Gain insights into the eight-fold way and quark theory.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Is Pure Mathematics Logically Viable? Five Challenges - Sociology and Pure Maths

Exploring five challenges to pure mathematics' logical viability, this talk critically examines the field's foundations and encourages reevaluation of its core principles and practices.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Think Like a Babylonian - With Centimal Base 100 Arithmetic - Sociology and Pure Maths

Explore Babylonian arithmetic through base 100 system, comparing it to modern methods. Gain insights into ancient Mesopotamian mathematics and its innovative floating-point approach.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video