Bernhard Riemann and the Complex Sphere - Geometric Thinking in Mathematics
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An introduction to the Riemann or complex sphere, exploring how stereographic projection connects complex numbers and functions with geometric ideas about mathematical space.
Syllabus
Introduction
What is the "nature of space"?
The "Riemann sphere"planar version
The planar 'stereographic projection'
The number circle
The Riemann spherecomplex numbers
Complex "functions"geometrically
The complex "function"
Taught by
Insights into Mathematics