Explorations in Topology: Map Coloring, Surfaces, and Knots (Hardcover)

Preface vii
Chapter 1: Acme Does Maps and Considers Coloring Them
Chapter 2: Acme Adds Tours
Chapter 3: Acme Collects Data from Maps
Chapter 4: Acme Collects More Data, Proves a Theorem, and Returns to Coloring Maps
Chapter 5: Acme’s Solicitor Proves a Theorem: the Four-Color Conjecture
Chapter 6: Acme Adds Doughnuts to Its Repertoire
Chapter 7: Acme Considers the Mobius Strip
Chapter 8: Acme Creates New Worlds: Klein Bottles and Other Surfaces
Chapter 9: Acme Makes Order Out of Chaos: Surface Sums and Euler Numbers
Chapter 10: Acme Classifies Surfaces
Chapter 11: Acme Encounters the Fourth Dimension
Chapter 12: Acme Colors Maps on Surfaces: Heawood’s Estimate
Chapter 13: Acme Gets All Tied Up with Knots
Chapter 14: Where to Go from Here: Projects
Index