Affine Geometry Courses and Certifications

Insights into Mathematics

Affine One-Dimensional Geometry and the Triple Quad Formula - Math Foundations 123

Explore the Triple Quad Formula, a fundamental theorem in mathematics, through affine geometry. Learn its derivation, significance, and applications in measuring point separation and collinearity.

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

Insights into Mathematics

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

Centrum Fizyki Teoretycznej PAN

Affine and Euclidean Geometry - The Modern Approach

Explore modern approaches to affine and Euclidean geometry, with applications to electrodynamics and relativity theory in this advanced physics lecture.

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

Wrath of Math

Exploring Finite Geometry: Are the Red Lines Parallel?

Explore the mathematics behind parallel red lines in finite geometries, examining a viral math meme and introducing projective and affine geometry concepts with proofs and visual explanations.

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

Insights into Mathematics

Barycentric Coordinates and Subtractive Arithmetic of Vectors - Algebraic Calculus and dCB Curves 9

Explore barycentric coordinates and vector arithmetic in affine geometry, enhancing understanding of de Casteljau Bezier polygons and curves. Gain insights into advanced mathematical concepts and their applications.

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

Insights into Mathematics

Isometry Groups in Planar Geometry - WildTrig: Intro to Rational Trigonometry - N J Wildberger

Explore isometry groups in Euclidean and relativistic geometries, focusing on grounded isometries, reflections, and rotations using an algebraic approach without infinite operations.

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

Hausdorff Center for Mathematics

Dylan Langharst: Higher-Order Affine Isoperimetric Inequalities

Explores extensions of geometric inequalities to higher-order bodies, including projection, centroid, LYZ, and radial mean bodies, with proofs of associated inequalities in convex geometry.

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

Insights into Mathematics

Affine and Projective Geometry, and the Problem of Lines

Explore affine and projective geometry, focusing on points, vector spaces, and lines in 2D. Learn to solve geometric problems using projective coordinates and understand curve representation.

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

Algebraic Calculus One

Discover a revolutionary algebraic approach to calculus that emphasizes discrete methods, geometric curves, and integration theory without traditional limits.

• OpenLearning
• On-Demand
• Paid Course

Insights into Mathematics

Three Dimensional Affine Geometry - Wild Linear Algebra A - NJ Wildberger

Explore 3D affine geometry through parallel projections, coordinate systems, and the distinctions between points, vectors, lines, and planes. Gain insights into space representation and its mathematical foundations.

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

International Mathematical Union

Neena Gupta- The Zariski Cancellation Problem and Related Problems in Affine Algebraic Geometry

Explore Zariski Cancellation Problem and related topics in affine algebraic geometry, including Asanuma rings, affine fibration, epimorphism theorems, and notable examples from leading mathematicians.

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

Fields Institute

Independence of Polarization for Lagrangian Fibrations and Integral-Affine Geometry

Explore Lagrangian fibrations, polarization independence, and integral-affine geometry in this advanced mathematics lecture by Mark Hamilton from Mount Allison University.

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

Simons Foundation

Group Actions on Affine Space and Euclidean Space - Geometry Lecture 2

Explore group actions on affine and Euclidean spaces through formalization in Lean, building undergraduate-level geometry skills with mathematical proof verification.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Simons Foundation

First Geometry Lecture - Group Actions on Affine Space and Euclidean Space

Explore group actions on affine and Euclidean spaces through formalization in Lean, building undergraduate-level geometry skills with mathematical proof verification.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Insights into Mathematics

Mathematical Space and Basic Duality in Geometry - Rational Geometry Math Foundations 122

Exploring fundamental concepts of mathematical space, including the duality between affine and projective views, Cartesian geometry, and the relationship between affine and projective lines.

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