Insights into Mathematics Courses

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

Central Banks and National Currencies - Wild West Banking

Explores central banking, fractional reserve banking, and loan creation, highlighting the risks and instability in modern banking systems through analogies and historical perspectives.

• 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

How to Set Up Fractions IV - The Relation Between Fractions and Other Number Systems

Explore number systems, focusing on rational numbers and their relationships. Challenges traditional views on real numbers, emphasizing the distinction between counting and measuring in mathematics.

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

Euclid Book 1 Props VI-VIII - A Foundation for Geometry - Sociology and Pure Maths - N J Wildberger

Examines Euclid's Elements Book 1 Propositions VI-VIII, discussing proofs, logical issues, and questioning its suitability as a foundation for modern geometry. Explores alternatives and implications for mathematics.

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

How to Set Up Fractions II - The Computational Challenge - Famous Math Problems

Explore computational challenges of fractions, including mixed fractions and Euclid's division lemma. Learn strategies to simplify fraction arithmetic and understand its importance in mathematics education.

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

Exceptional Structures in Mathematics and Physics From Dynamics on Graphs

Explore exceptional structures in math and physics through graph dynamics, connecting to Coxeter diagrams, root systems, and Lie algebras. Discover new combinatorial structures and their role in representation theory and modern physics.

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

Euclid Book 1 Props I - V - A Critical Review - Sociology and Pure Mathematics - N J Wildberger

Critical review of Euclid's Book 1 Propositions I-V, examining logical foundations and constructions. Explores historical significance and questions modern interpretations of Euclidean geometry.

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

Infinitesimal Calculus with Finite Fields - Famous Math Problems

Explore infinitesimal calculus in finite fields through the semi-cubical parabola over F_7, challenging traditional real number analysis and emphasizing polynumbers and de Casteljau Bezier curves.

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

An Algebraic Infinitesimal Approach to Product and Chain Rules - N J Wildberger

Algebraic approach to calculus using dual complex numbers and bi-polynumbers, introducing the Derivative theorem and deriving Product and Chain Rules without limits or real numbers.

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