Structural Geology
Comprehensive exploration of structural geology concepts, including stereographic projections, strain analysis, stress mechanics, rheology, and deformation processes, with practical lab applications.
Visualizing Quaternions - 4D Numbers With Stereographic Projection
Explore 4D quaternions through stereographic projection, visualizing complex mathematical concepts in 3D space and understanding their geometric implications.
Parametrizing and Projecting a Sphere - Universal Hyperbolic Geometry
Explore stereographic and gnomonic projections of a sphere, including rational parametrization, coordinate systems, and their applications in elliptic geometry.
Two-Dimensional Surfaces - The Sphere - Algebraic Topology
Explore the two-dimensional sphere's significance in algebraic topology, including its relation to stereographic projection and the inversive plane in Euclidean geometry.
Flattening a Curve - Stereographic Projection
Explore stereographic projection, a fascinating mathematical technique for mapping curved surfaces onto flat planes, with applications in cartography and complex analysis.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 2
Explore connections between Rogers-Ramanujan identities and icosahedron, linking number theory, modular forms, combinatorics, and conformal field theory in an accessible survey for mathematicians.
The Discrete Charm of Geometry by Alexander Bobenko
Explore the fascinating world of discrete geometry and its applications in architecture, computer graphics, and physics. Discover structure-preserving discretizations through simple examples and stunning visuals.
Bernhard Riemann and the Complex Sphere - Geometric Thinking in Mathematics
Explore Riemann's geometrical thinking on the complex sphere, from abstract discussions on mathematical space to practical applications in complex analysis and higher-dimensional geometry.
Complex Numbers and Curves in 19th Century Mathematics
Explore complex numbers, algebraic curves, and their intersection with projective geometry and topology. Discover how these concepts revolutionized 19th-century mathematics and laid the foundation for modern algebraic geometry.
The Origin of Electromagnetism - An Unsolved Riddle
Explore unit quaternions as a foundation for fundamental physics, challenging conventional theories and proposing new perspectives on space and time.