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A history of mathematics

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Author(s): Florian Cajori
Edition: 2d ed., rev. and enl
Publisher: New York, The Macmillan company; London, Macmillan & co., ltd
Year: 1919

Language: English
Pages: 556
Tags: Математика;История математики;

PG Boilerplate......Page 1
Transcriber's Note......Page 2
Preface......Page 7
Contents......Page 9
Books of Reference......Page 11
Introduction......Page 18
The Babylonians......Page 22
The Egyptians......Page 27
Greek Geometry......Page 34
The Ionic School......Page 36
The School of Pythagoras......Page 39
The Sophist School......Page 43
The Platonic School......Page 50
The First Alexandrian School......Page 56
The Second Alexandrian School......Page 79
Greek Arithmetic......Page 89
The Romans......Page 106
The Hindoos......Page 114
The Arabs......Page 133
Europe During the Middle Ages......Page 152
Introduction of Roman Mathematics......Page 153
Translation of Arabic Manuscripts......Page 161
The First Awakening and its Sequel......Page 165
Modern Europe......Page 177
The Renaissance......Page 178
Vieta to Descartes......Page 198
Descartes to Newton......Page 230
Newton to Euler......Page 248
Euler, Lagrange, and Laplace......Page 303
The Origin of Modern Geometry......Page 349
Recent Times......Page 356
Synthetic Geometry......Page 358
Analytic Geometry......Page 375
Algebra......Page 384
Analysis......Page 403
Theory of Functions......Page 422
Theory of Numbers......Page 439
Applied Mathematics......Page 452
Addenda......Page 489
Index......Page 491
Catalogue......Page 518
PG License......Page 549