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9781470479596 Academic Inspection Copy

Playing with Shape and Form

A Glimpse of Topology
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Topology is the field of mathematics that studies those properties of a shape which persist when the shape gently evolves and changes its specific form. This book gives a playful and intuitive introduction to topology, favoring simple and crisp illustrations over long explanations and formal definitions. The material includes some of the classic results one would see in undergraduate courses on topology and graph theory, but presents these results in a way that readers without any knowledge of mathematics will be able to understand.
Loops Paths Trees Trees and Polygons Cell Divisions Euler's Formula Connecting Five Points Connecting Three Points to Three Points The Cylinder The Moebius Band The Torus Connecting Seven Points on a Torus The Klein Bottle and the Projective Plane The Genus-2 Surface Mix and Match
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