Mathematics from the Visual World

Mathematics from the Visual World, taught by veteran Teaching Company Professor Michael Starbird of The University of Texas at Austin, takes Plato's dictum to heart and introduces you to the terms, concepts, and astonishing power of geometry. In 24 richly illustrated lectures, you learn that geometry is everywhere. It is the key to scientific disciplines from cosmology to chemistry. It is central to art and architecture. It provides deep insights into algebra, calculus, and other mathematical fields. And it is stunning to contemplate in its beauty.

Course Lecture Titles
24 Lectures
30 minutes / lecture

01.Seeing with Our Eyes, Seeing with Our Minds
02.Congruence, Similarity, and Pythagoras
03.The Circle
04.Centers of Triangles
05.Surprising Complexity of Simple Triangles
06.Clever Constructions
07.Impossible Geometry—Squaring the Circle
08.Classic Conics
09.Amazing Areas
10.Guarding Art Galleries
11.Illusive Perspective
12.Planes in Space
13.Cooling Towers and Hyperboloids
14.A Non-Euclidean Spherical World
15.Hyperbolic Geometry
16.The Dark Night Sky Paradox
17.The Shape of the Universe
18.The Fourth Dimension
19.Patterns of Patterns
20.Aperiodic Tilings and Chaotic Order
21.The Mandelbrot and Julia Sets
22.Pathways to Graphs
23.A Rubber-Sheet World
24.The Shape of Geometry

Note: There are 11 parts.