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Mathematics from the Visual World

Mathematics from the Visual World consists of 24 lectures taught by Professor Michael Starbird, introducing the terms, concepts, and astonishing power of geometry. Geometry 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. Throughout the lectures, Professor Michael Starbird deals with four different themes in geometry: Euclidean geometry, non-Euclidean geometries, symmetries, and graphs.

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