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Beyond Geometry: A New Mathematics of Space and Form (The History of Mathematics)

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Author(s): John Tabak
Publisher: Facts on File
Year: 2011

Language: English
Pages: 239
Tags: Математика;История математики;

Cover......Page 1
Contents......Page 8
Preface......Page 11
Acknowledgments......Page 17
Introduction......Page 18
1: Topology: A Prehistory......Page 22
2: A Failure of Intuition......Page 39
3: A New Mathematical Landscape......Page 54
4: The First Topological Spaces......Page 76
5: The Standard Axioms and Three Topological Properties......Page 101
6: Schools of Topology......Page 123
7: Dimension Theory......Page 141
8: Topology and the Foundations of Modern Mathematics......Page 164
Afterword......Page 183
Chronology......Page 194
Glossary......Page 211
Further Resources......Page 217
Index......Page 223