Geometry: The Language of Space and Form (The History of Mathematics)

Cover......Page 1
Contents......Page 8
Preface......Page 11
Acknowledgments......Page 17
Introduction......Page 18
Part One: Geometry in Antiquity......Page 22
1: Geometry before the Greeks......Page 24
2: Early Greek Geometry......Page 29
3: Major Mathematical Works of Greek Geometry......Page 43
Part Two: New Geometries......Page 68
4: Mathematics and Art during the Renaissance......Page 70
5: The First Theorems......Page 83
6: Projective Geometry Rediscovered......Page 91
7: A Non-Euclidean Geometry......Page 109
Part Three: Coordinate Geometry......Page 120
8: The Beginnings of Analytic Geometry......Page 122
9: Calculus and Analytic Geometry......Page 140
10: Differential Geometry......Page 158
11: The Shape of Space and Time......Page 173
12: Infinite-Dimensional Geometries......Page 195
Conclusion......Page 211
Afterword......Page 213
Chronology......Page 224
Glossary......Page 241
Further Resources......Page 246
Index......Page 256