First Concepts of Topology: The Geometry of Mappings of Segments, Curves, Circles, and Disks

W.G. Chinn; N.E. Steenrod

doi:10.5948/UPO9780883859339

Over 150 problems and solutions.

This clear and winning little book, for readers willing to come to genuine grips with the idea of a mathematical proof, presents topology ... as mathematicians see it. One cannot any longer doubt that a single stroke of a knife exists that divides any irregular ham sandwich so that the ham and both bread slices can be shared with perfect fairness by two consumers.

Source: Scientific American

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First Concepts of Topology

The Geometry of Mappings of Segments, Curves, Circles, and Disks

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Contents

Frontmatter
pp i-iv

Note to the Reader
pp v-v

NEW MATHEMATICAL LIBRARY
pp vi-vi

Contents
pp vii-viii

Introduction
pp 1-4

Part I - Existence Theorems in Dimension
pp 5-74

Part II - Existence Theorems in Dimension 2
pp 75-136

Solutions for Exercises
pp 137-158

Index
pp 159-160

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First Concepts of Topology

The Geometry of Mappings of Segments, Curves, Circles, and Disks

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