Euclidean Geometry Courses and Certifications

Insights into Mathematics

Relativistic Velocity, Core Circles, and Paul Miller's Protractor - Rational Geometry

Explores core circles in rational geometry, connecting projective and Euclidean geometry. Covers parametrization, quadrances, and theorems, bridging abstract concepts with practical applications.

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

Insights into Mathematics

The Three-Fold Symmetry of Chromogeometry - Rational Geometry Math Foundations

Explore chromogeometry's three-fold symmetry, combining Euclidean and relativistic geometries. Discover new patterns and relations beyond traditional approaches, opening doors to 21st century geometric insights.

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

Insights into Mathematics

Isometry Groups of the Projective Line - Rational Geometry Math Foundations

Exploring finite field geometry: isometries, rotations, and reflections on the projective line, revealing connections to relativistic geometry and offering a new perspective on Euclidean concepts.

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

Insights into Mathematics

NJ's Pizza Model for Organizing Geometry - Rational Geometry Math Foundations

Explore a systematic approach to organizing metrical geometry using a pizza-making analogy. Learn about various geometries, their interconnections, and key concepts in this comprehensive overview.

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

Insights into Mathematics

Absolute Versus Relative Measurements in Geometry - Rational Geometry Math Foundations

Explore the distinction between absolute and relative measurements in geometry, focusing on proportions and ratios. Learn about ancient Greek approaches and their relevance to modern mathematics.

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

Insights into Mathematics

Ptolemy's Theorem and Generalizations - Rational Geometry Math Foundations

Explores Ptolemy's theorem in rational geometry, extending it to finite fields and relativistic planar geometry. Demonstrates how classical results can yield broader insights when formulated without infinite processes.

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

Fields Institute

Donald Coxeter and Geometry

Explore Donald Coxeter's contributions to geometry, including non-Euclidean geometries, higher dimensions, and connections to art and music in this engaging mathematical journey.

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

International Centre for Theoretical Sciences

Branching Random Walks - Two Conjectures and a Theorem by Parthanil Roy

Explore branching random walks, their applications, and long-term behavior. Delve into conjectures and theorems with mathematician Parthanil Roy in this engaging lecture on probability theory.

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

Mathemaniac

What if We Define 1-0 = Infinity - Möbius Transformations Visualized

Explore Möbius transformations and their connection to defining 1/0 = ∞, with insights on circular inversion, Riemann sphere, and applications in geometry and complex analysis.

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

Fields Institute

Maximally Dense Sphere Packings

Explore optimal arrangements of disks in 2D and higher dimensions, focusing on recent findings for multiple disk sizes. Survey of results accessible to a broad audience.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Geometry II

Continue on the road to geometry mastery with this proof-centric course.

• Brilliant
• 4 hours
• On-Demand
• Paid Course

The Royal Institution

How Geometry Created Modern Physics

Explore the evolution of geometry from Euclid to Einstein, uncovering how post-Euclidean concepts revolutionized our understanding of spacetime and laid the foundation for modern physics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Insights into Mathematics

Inconvenient Truths About the Square Root of 2 - Real Numbers and Limits

Explores the concept of sqrt(2), its historical significance, and modern approaches, challenging traditional views on irrational numbers and highlighting logical issues in mathematical analysis.

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

Insights into Mathematics

The Geometry of Surfaces - Algebraic Topology Lecture 20

Explore the connection between 2D surfaces and classical geometries, focusing on isometries and introducing hyperbolic geometry through circle inversions in the Beltrami Poincare disk model.

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

Insights into Mathematics

Reflections in Hyperbolic Geometry - Universal Hyperbolic Geometry Lecture 14

Explore reflections in hyperbolic geometry, comparing with Euclidean counterparts. Discover unique properties and surprising connections to circle geometry in this advanced mathematical exploration.

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