Mathematical Thought from Ancient to Modern Times: Volume 1

Front Cover
OUP USA, Aug 16, 1990 - Mathematics - 428 pages
This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Originally published in 1972, it is now available as a three volume paperback edition. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the nineteenth century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Gödel on recent mathematical study.
 

Contents

I
3
II
4
III
5
IV
7
V
8
VI
10
VII
11
VIII
13
LIX
183
LX
188
LXI
190
LXII
191
LXIII
195
LXIV
197
LXV
200
LXVI
201

IX
15
X
16
XI
18
XII
21
XIII
22
XIV
24
XVII
25
XVIII
27
XIX
28
XXI
34
XXII
37
XXIII
42
XXIV
48
XXV
51
XXVI
56
XXVII
57
XXVIII
58
XXIX
60
XXX
68
XXXI
73
XXXII
77
XXXIII
80
XXXIV
81
XXXV
86
XXXVI
88
XXXVII
89
XXXVIII
101
XXXIX
103
XL
105
XLI
116
XLII
117
XLIII
119
XLIV
126
XLV
131
XLVI
135
XLVII
145
XLVIII
146
XLIX
147
L
154
LI
160
LII
162
LIII
166
LIV
168
LV
171
LVI
173
LVII
176
LVIII
177
LXVII
202
LXVIII
203
LXIX
205
LXX
206
LXXI
209
LXXII
211
LXXIII
213
LXXIV
216
LXXV
218
LXXVI
220
LXXVII
221
LXXVIII
223
LXXIX
227
LXXX
231
LXXXI
234
LXXXII
236
LXXXIII
237
LXXXIV
240
LXXXV
247
LXXXVI
250
LXXXIX
251
XC
259
XCI
263
XCII
270
XCIII
274
XCIV
278
XCV
285
XCVI
286
XCVII
288
XCVIII
295
XCIX
299
C
302
CII
303
CIII
304
CIV
308
CV
317
CVI
325
CVII
327
CVIII
335
CIX
342
CXI
344
CXII
356
CXIII
370
CXIV
380
CXV
381
CXVI
383
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About the author (1990)

Morris Kline is Professor of Mathematics, Emeritus, at the Courant Institute of Mathematical Sciences, New York University, where he directed the Division of Electromagnetic Research for twenty years.

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