Insights into Mathematics Courses

The Mathematics of Scales and Modes - Maths and Music

Explore mathematical framework for scales and modes using 12-tone chromatic scale. Learn interval sequences, scale types, and connections to clock arithmetic and discrete calculus.

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

The Operation of Caret - Exponentiation via Multisets - Math Foundations

Explore a new arithmetic operation called "caret" (exponentiation) for multisets, extending the ladder of operations beyond addition and multiplication with concrete examples and recursive counting functions.

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

The Big Step from Polynumbers to Multinumbers - Math Foundations - N J Wildberger

Explore the transition from polynumbers to multinumbers, expanding arithmetic concepts using multisets. Learn new notations and operations for a more flexible algebraic framework.

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

A Multiset Approach to Arithmetic - Math Foundations

Explore a new framework for arithmetic using multisets, introducing natural numbers, polynumbers, and multinumbers. Learn innovative definitions and operations that offer profound insights into mathematical structures.

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

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• 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