Playing with Shape and Form

A Glimpse of Topology

Richard Evan Schwartz

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Paperback

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English

American Mathematical Society
28 February 2025

Topology; Applied mathematics

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.

By: Richard Evan Schwartz
Imprint: American Mathematical Society
Country of Publication: United States
ISBN: 9781470479596
ISBN 10: 1470479591
Pages: 154
Publication Date: 28 February 2025
Recommended Age: From 8 to 12 years
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Loops Paths Trees Trees and Polygons Cell Divisions Euler's Formula Connecting Five Points Connecting Three Points to Three Points The Cylinder The Möbius Band The Torus Connecting Seven Points on a Torus The Klein Bottle and the Projective Plane The Genus-2 Surface Mix and Match