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Gay, David

map coloring, surfaces, and knots

David Gay

Elsevier Academic Press

c2007

xii, 339 p. ill. 24 cm

Includes bibliographical references and index , Acme does maps and considers coloring them -- Acme adds tours -- Acme collects data from maps -- Acme collects more data, proves a theorem, and returns to coloring maps -- Acmeʹs solicitor proves a theorem: the four-color conjecture -- Acme adds doughnuts to its repertoire -- Acme considers the M�obius strip -- Acme creates new worlds: Klein bottles and other surfaces -- Acme makes order out of chaos: surface sums and Euler numbers -- Acme classifies surfaces -- Acme encounters the fourth dimension -- Acme colors maps on surfaces: Heawoodʹs estimate -- Acme gets all tied up with knots -- Where to go from here: projects

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