A Short History of Greek Mathematics

Front Cover
Cambridge University Press, Jun 24, 2010 - Mathematics - 380 pages
0 Reviews
James Gow's A Short History of Greek Mathematics (1884) provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid, Archimedes and many others, the Short History offers in-depth analysis and useful translations of individual texts as well as a broad historical overview of the development of mathematics. Parts I and II concern Greek arithmetic, including the origin of alphabetic numerals and the nomenclature for operations; Part III constitutes a complete history of Greek geometry, from its earliest precursors in Egypt and Babylon through to the innovations of the Ionic, Sophistic, and Academic schools and their followers. Particular attention is given to Pythagorus, Euclid, Archimedes, and Ptolemy, but a host of lesser-known thinkers receive deserved attention as well.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

PROLEGOMENA TO ARITHMETIC 121
1
Primitive expression of fractions 1314
13
GREEK ARITHMETIC 22122
21
Pebblesymbolism 2729
28
The Salaminian Table 3336
34
Earliest Greek written numerals 4041
40
SECTION PAOE
41
Signs for fractions and compendia 4849
48
Bise of Alexandria 193195
194
Euclids life 195196
196
History of the text 199203
199
Modern history of the book 203209
203
SECTION PAGE 123 Other extant works of Euclid 209215
209
Life of Archimedes 221222
221
Catalogue of the works of Archimedes 223225
223
Geometry of Archimedes 225 233
225

Symbolism of Noviomagus
64
Euclids Arithmetiea Book H of the Elements 7274
72
Theory of Combinations 8687
86
Theon Smyrnaeus 9596
95
PREHISTORIC AND EGYPTIAN GEOMETRY 123133
123
Connexion of Greek with Egyptian 131132
131
The antique style acc to Geminus 137138
137
6 The Ionic School SECTION PAGE 83 ThalesLife 138140
138
8486 His geometry 140145
140
Other Ionic geometers 145146
145
OBnopides of Chios 146147
146
c The Pythagoreans
150
Life and teaching of Pythagoras 147149
153
Later Pythagoreans esp Archytas 157158
157
The insoluble problems 161162
161
Hippias and the quadratrix 162164
162
Theodoras of Cyrene and Hippocrates of Chios 164165
164
Quadrature of lunes by Hippocrates 165169
165
Duplicationproblem recast by Hippocrates
169
Quadrature of circle by Antiphon and Bryson 170171
170
e The Academy 107 Plato and his mathematical teaching 173177
173
The method of analysis 177180
177
Platos solution of duplicationproblem etc 180181
180
Archytas 181188
181
Leodamas Theaetetus Neocleides Leon
183
Menaechmus and the later Academics 185188
185
Aristotle 188189
188
115 Autolycus of Pitane 189190
189
Summary of the preEuolidean geometry 190191
190
Defects in Athenian culture
192
Dimensio Circuli 233237
233
Mechanics and machines of Archimedes 237244
237
Eratosthenes 244246
244
Apollonius of Perga 246250
246
Summary of his Conies 250255
247
Method of duplication attributed to Apollonius 263264
263
GEOMETRY IN SECOND CENTUEY e g 265286
265
Nicomedes and the conchoid 266268
266
Diocles and the cissoid 268270
268
Perseus and his spirals 270271
270
Zenodorus onFigures of Equal Periphery 271272
271
Hypsicles and his works 272274
272
Hipparchus 274275
274
Heron of Alexandria 276280
276
Herons geometrical works 280284
280
Egyptian character of Herons work 284286
284
FEOM GEMINUS TO PTOLEMY 287301
287
Theodosius of Tripolis 288289
288
Serenus of Antissa 289291
289
Menelaus 291292
291
Trigonometry of Ptolemy 292299
292
Other geometrical work of Ptolemy 299301
299
LAST YEARS 302315
302
Pappus and his works 304305
304
Contents of the Malhematicae Collectiones 305308
305
Apergus of Pappus 308311
308
Greek Commentators on classical geometers 311313
311
Summary 313315
313
Index 317323
317
Copyright

Common terms and phrases

Bibliographic information