Playing with Shape and Form
A Glimpse of Topology

Richard Evan Schwartz (Author)

9781470479596

Paperback / softback, published 28 February 2025

154 pages
18.3 x 17.8 x 1.3 cm, 0.18 kg

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 Mö
  bius Band
• The Torus
• Connecting Seven Points on a Torus
• The Klein Bottle and the Projective Plane
• The Genus-2 Surface
• Mix and Match