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Tables of Contents for Writing the History of Mathematics
Chapter/Section Title
Page #
Page Count
Table of Portraits
xv
 
Contributors
xvii
 
Praescriptum
xxi
 
Introduction
xxix
 
Acknowledgements
xxxiii
 
Glossary
xxxv
 
Part I Countries
France
3
42
Jeanne Peiffer
Introduction
3
1
Changing Appreciation of the Ancients, from the Renaissance to the Seventeenth Century
4
2
History of the Progress of the Human Mind (in the Enlightenment)
6
5
Fontenelle, the Initiator of a Tradition
7
1
The Historical Dimension of the Encyclopedia Project
8
1
Montucla's Monumental Work
9
2
Historiography in Revolutionary Times
11
2
The Reform of Society Through the Sciences: Positivism
13
1
Oriental Studies and the History of Mathematics in the Nineteenth Century
14
6
Collaboration Between Scientists and Orientalists
15
1
Academic Controversies on the History of Arabic Mathematics
16
2
Francois Woepcke's Research
18
2
The History of Mathematics by Mathematicians: Chasles and his Successors
20
2
The Spread of Historical Work in Journals and the Broadening of the Subjects Treated
22
3
The History of Mathematics in Relation to the General History of Science: Paul Tannery
25
5
Nationalist Tendencies
30
1
Philosopher-Scientists of the Twentieth Century
30
3
The History of Mathematics and the Institutionalization of the History of Science Between the Two World Wars
33
3
The Historical Epistemology of Gaston Bachelard
36
1
Towards an Autonomous History of Mathematics After the Second World War
36
2
The Centre Alexandre Koyre and Research on the History of Mathematics
38
2
History According to Bourbaki
40
1
Further Developments
41
1
Conclusion
42
3
Benelux
45
16
Paul Bockstaele
Geographical and Political Considerations
45
1
Humanist-Inspired Return to the Sources
46
1
Catalogues of Mathematicians
47
2
The Eighteenth Century
49
1
Historiography of Mathematics in the Kingdom of the Netherlands 1815-1830
49
1
Historiography of Mathematics in Belgium after 1830
50
3
Historiography of Mathematics in the Netherlands after 1830
53
3
Amateurs and Professionals, Journals and Societies
56
2
Conclusion
58
3
Italy
61
36
Umberto Bottazzini
Introduction
61
1
The Rediscovery of Classical Mathematics
62
3
Interlude: Contributions of the Jesuits
65
1
The History of Mathematics in the Enlightenment
66
3
History as a Research Topic for Mathematicians
69
8
Pietro Cossali
69
1
Gregorio Fontana
70
1
Giovanni B. Venturi and Pietro Franchini
71
1
The Influence of Lagrange
72
2
Guglielmo Libri
74
3
The Risorgimento and the Search for Italian Forerunners
77
2
Boncompagni's ``Bullettino'' and Its Influence
79
2
The History of Mathematics in the Early Twentieth Century
81
4
The School of Peano in Turin
82
1
The School of Enriques in Bologna
83
2
Second Interlude: Galileo and Leonardo
85
2
The Emergence of Professional Historians
87
4
Gino Loria
88
2
Ettore Bortolotti
90
1
Enriques and the Institute for the History of Science in Rome
91
2
After World War II
93
1
Conclusion
94
3
Switzerland
97
12
Erwin Neuenschwander
Introduction
97
1
Humanism and Enlightenment
98
2
The Contribution of the ``Naturforschende Gesellschaften''
100
2
The Major Editions
102
2
Further Developments
104
2
Conclusion
106
3
Germany
109
42
Menso Folkerts
Christoph J. Scriba
Hans Wussing
Introduction
109
1
The Beginnings
110
3
The First Glimmer: Regiomontanus and Some Successors
110
1
Two Extremes: Leibniz and Wolff
111
1
Three Additional Eighteenth-Century German Authors
111
2
Mathematician, Bibliographer and Epigrammatist: Kastner
113
1
First Half of the Nineteenth Century
113
4
From Watch-Maker to Professor of Technology: Poppe
113
1
Handbooks and History: Klugel and Mollweide
114
1
Opposite Twins? Nesselmann and Arneth
114
3
From 1850 up to World War I
117
14
The ``Philologists'': Editions of Texts
117
5
Hermann Hankel and Moritz Cantor: First Comprehensive Studies
122
3
Gunther and Braunmuhl: On the Way to Professionalism
125
2
Felix Klein and His ``Vorlesungen.'' Editions of ``Collected Works''
127
4
Between the Wars
131
9
More Studies on Arabic Mathematics
131
3
Toeplitz, Neugebauer, and Bessel-Hagen: The ``Kiel-Gottingen-Bonn Group''
134
2
Wieleitner, Tropfke, and Their Successors Vogel and Hofmann
136
4
History of Mathematics Under the Third Reich
140
3
The German Democratic Republic
143
2
The Federal Republic of Germany
145
3
History of Mathematics in a Reunited Germany
148
1
Conclusion
149
2
Scandinavia
151
10
Kirsti Andersen
Introduction
151
1
Early Publications on the History of Mathematics
152
1
National Interests
152
2
Professional History of Mathematics
154
1
Enestrom's Scientific History of Mathematics
154
2
Zeuthen's Historical Mathematics
156
1
Text Editions
157
1
After Enestrom and Zeuthen
157
3
Conclusion
160
1
The British Isles
161
18
Ivor Grattan-Guinness
Introduction
161
1
Prior to the Early Twentieth Century
161
3
Studies of Special Topics
164
2
Largely Historians of Newton
166
3
Some Cambridge Historians
169
1
The Royal Society Catalogue of Scientific Papers
170
1
Historians of Greek Mathematics
171
1
General Writing to the First World War
172
2
Pearson and the History of Statistics
174
1
Between the Wars
175
1
After the Second World War
176
2
Conclusion
178
1
Russia and the U.S.S.R.
179
20
Sergei S. Demidov
Introduction
179
1
History of Mathematics Before 1917
179
3
The First Post-Revolutionary Years: Formation of the Soviet School
182
5
Research Schools After World War II
187
4
Dominant Postwar Research Themes and Publication Formats
191
3
Social Dimensions of the History of Mathematics After World War II
194
2
Conclusion
196
3
Poland
199
6
Stanislav Domoradzki
Zofia Pawlikowska-Brozek
Early Developments
199
1
Twentieth-Century Contributions
200
2
Conclusion
202
3
Bohemian Countries
205
8
Lubos Novy
Introduction
205
1
Beginnings
206
1
History of Mathematics 1750-1850
206
1
The Mid-19th Through the Mid-20th Century
207
3
History of Mathematics in Czechoslovakia Since 1945
210
2
Conclusion
212
1
Austria
213
8
Christa Binder
Introduction
213
1
Regiomontanus and Tannstetter
213
3
Decline and Revival
216
1
The ``Encyklopadie''
217
1
Recent Developments
218
1
Conclusion
219
2
Greece
221
10
Christine Phili
The Classical and Hellenistic Periods
221
2
The Byzantine Period
223
1
Voulgaris and the Athonian Academy
223
2
The Ionian Academy
225
1
The Greek National State (1822 to the Present)
226
3
Conclusion
229
2
Spain
231
8
Elena Ausejo
Mariano Hormigon
Introduction
231
2
Polemics With Respect to Sixteenth-Century Spanish Mathematicians
233
1
Mathematics in the Liberal State
234
2
Conclusion
236
3
Portugal
239
10
Luis M. R. Saraiva
Introduction
239
1
The Beginnings: Garcao Stockler
239
2
The Second Half of the Nineteenth Century: Francisco de Castro Freire
241
2
The Golden Age of Portuguese Historiography of Mathematics: 1900-1940
243
3
The Modern Period: 1940-1970
246
1
Conclusion
246
3
The Americas
249
40
Ubiratan D'Ambrosio
Alejandro R. Garciadiego
Joseph W. Dauben
Craig G. Fraser
Introduction
249
1
South America
249
7
Historiographical Remarks
249
1
Conquest and Early Colonial Times
250
1
The Established Colonies
250
1
Independent Countries
251
1
The Twentieth Century
252
2
Current Developments
254
1
Conclusion
255
1
Mexico
256
7
The Creation and Development of the Royal University
256
1
After Independence
257
1
The Emergence of Modern Mathematics in Mexico in the Twentieth Century: The Autonomous National University
258
1
The Faculty of Sciences
258
3
The Nightmare: The 1968 Student Movement
261
1
Conclusion
262
1
United States of America
263
22
Introduction
263
1
History of Mathematics in the United States: Early Efforts Through World War I
264
9
Increasing Professionalization: History of Mathematics and History of Science
273
3
Recent History of Mathematics in the United States
276
5
Conclusion
281
4
Canada
285
4
Before 1966
285
1
Kenneth O. May
286
1
The Situation Today
287
2
Japan
289
8
Sasaki Chikara
The Prewar Period, 1868--1945: The Flowering of the Study of the History of Japanese Mathematics
289
3
Endo Toshisada and His Successor Mikami Yoshio
289
2
The Tohoku School
291
1
The Postwar Period, 1945--1986: Beginnings of the Serious Study of the History of Western Mathematics
292
2
Conclusion
294
3
China
297
10
Liu Dun
Joseph W. Dauben
The Decline of Traditional Chinese Mathematics
297
1
Early Authors
298
2
The ``Qian-Jia School'' and Its Successors
300
4
The Modern Scholars
304
1
Conclusion
305
2
India
307
10
Radha Charan Gupta
Introduction
307
1
Beginnings of Indigenous Historiography
308
2
Modern Historical Studies and Historiography of Indian Mathematical Sciences
310
1
Indian Historians
311
2
The Twentieth Century
313
2
Conclusion
315
2
Arab Countries, Turkey, and Iran
317
12
Sonja Brentjes
Introduction
317
1
Exchanges with Western Europe
318
1
A New Start for Historiography of Science and Mathematics
319
2
Diverse Attitudes towards History of Science and Mathematics
321
2
Trends in History of Mathematics in Iran and Turkey
323
1
The New Institutions
324
3
Conclusion
327
2
Postscriptum
329
316
Joseph W. Dauben
Jeanne Peiffer
Christoph J. Scriba
Hans Wussing
The Character of Historiography
329
1
George Sarton's Views
329
1
Interrelations
330
1
On the History of Historiography
331
1
Functions of Historiography
332
2
Institutional Factors
334
1
History of Mathematics and Mathematics Education
335
1
History of Mathematics: Recent Trends
336
1
Electronic Resources
337
1
The Humanism of Mathematics
338
5
Part II Portraits and Biographies
Portraits
343
8
Biographies
351
232
Part III Abbreviations, Bibliography, and Index
Abbreviations
583
8
Bibliography
591
54
Index
645