Spherical Geometry Courses and Certifications

Insights into Mathematics

Spherical and Elliptic Geometries - Universal Hyperbolic Geometry

Explore spherical and elliptic geometries, from ancient Greek astronomy to modern concepts. Learn about longitude, latitude, measurement techniques, and key theorems in non-Euclidean spaces.

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

Coding Train

3D Supershapes and Spherical Geometry

Explore 3D Supershapes and spherical geometry in Processing and p5.js. Learn to create spheres, generate 3D Supershapes, and transpose them to web browsers using WebGL.

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

Insights into Mathematics

Classical Spherical Trigonometry - Universal Hyperbolic Geometry

1 review

Comprehensive overview of classical spherical trigonometry, covering key concepts, laws, and theorems. Introduces a new algebraic approach to simplify and enhance the traditional framework.

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

Insights into Mathematics

Applications of Rational Spherical Trigonometry II - Universal Hyperbolic Geometry

Explore spherical trigonometry to calculate distance and bearing between two points on Earth, comparing classical and modern rational methods for solving real-world navigation problems.

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

Insights into Mathematics

Applications of Rational Spherical Trigonometry - Universal Hyperbolic Geometry Lecture 43

Exploring rational spherical trigonometry through a specific spherical triangle example, demonstrating its connection to hyperbolic geometry and three-dimensional space.

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

IMSA

A Web of Spherical Functors in Toric Birational Geometry

Explore spherical functors in toric birational geometry, expanding on Aspinwall, Plesser and Wang's conjecture. Discover numerical and mirror symmetric evidence in this joint work with Ludmil Katzarkov.

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

Institute for Advanced Study

On the Geometry and Arithmetic of Non-Spherical Maass Forms

Delve into the geometry and arithmetic of non-spherical Maass forms, exploring mass distribution, quantum chaos, and spectral geometry in the context of automorphic forms with increasing K-type dimensions.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Insights into Mathematics

The Rotation Problem and Hamilton's Discovery of Quaternions - Part 2 - Famous Math Problems 13b

Explore 3D rotations, their composition, and algebraic representation. Learn about Euler's theorem, vector operations, and the foundations for understanding quaternions in graphics and rocket science.

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

Insights into Mathematics

Sphere Geometry and Complex Analysis - Algebraic Topology Lecture 4

Explore advanced concepts in sphere geometry, including inversive geometry, Riemann sphere, complex analysis, and projective lines, enhancing understanding of algebraic topology.

• YouTube
• 41 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

Spherical and Elliptic Geometries - An Introduction

Explore spherical geometry fundamentals: great circles, antipodal points, triangles, and circles. Learn key concepts and visualize ideas with physical models, connecting to 3D space and Euclidean geometry.

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

Insights into Mathematics

Rational Curvature of Polytopes and the Euler Number - Algebraic Topology Lecture 16

Explore the relationship between polyhedron curvature and Euler number using rational formulation. Learn about Harriot's theorem and analyze various polyhedra, including tetrahedron, cube, and dodecahedron.

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

Mathemaniac

Why All Maps Are Wrong - Theorema Egregium

Explore Theorema Egregium's geometric proof, revealing why no world map can preserve both area and angles. Understand curvature, spherical areas, and the Gauss map in this mathematical journey.

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

Wrath of Math

Most of the Sky is Below You - A Mathematical Analysis Using Calculus and Geometry

Explore a fascinating mathematical analysis of why most of the sky actually lies below our horizon, using calculus, trigonometry, and geometric principles to challenge common perceptions.

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

Hausdorff Center for Mathematics

Zakhar Kabluchko - Random Polytopes

Introduction to beta polytopes: convex hulls of samples from beta density on unit ball and beta' density on Euclidean space. Explores models in stochastic geometry reducible to these polytopes.

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