Geometry: Our Cultural Heritage

Forside
Springer Science & Business Media, 22. jan. 2002 - 378 sider
This book is based on lectures on geometry at the University of Bergen, Norway. Over the years these lectures have covered many different aspects and facets ofthis wonderful field.Consequently it has ofcourse never been possible to give a full and final account ofgeometry as such, at an undergraduate level: A carefully considered selection has always been necessary.The present book constitutes the main central themes of these selections. One of the groups I am aiming at, is future teachers of mathematics. All too often the geometry which goes into the syllabus for teacher-students present the material as pedantic and formalistic, suppressing the very pow erful and dynamic character of this old - and yet so young! - field. A field of mathematical insight, research, history and source of artistic inspiration. And not least important, a foundation for our common cultural heritage. Another motivation is to provide an invitation to mathematics in gen eral. It is an unfortunate fact that today, at a time when mathematics and knowledge of mathematics is more important than ever, phrases like math avoidance and math anxiety are very much in the public vocabulary. An im portant task is seriously attempting to heal these ills. Ills perhaps inflicted on students at an early age, through deficient or even harmful teaching prac tices. Thus the book also aims at an informed public, interested in making a new beginning in math. And in doing so, learning more about this part of our cultural heritage.

Inni boken

Innhold

II
3
III
4
IV
7
VI
11
VII
12
VIII
15
IX
27
X
29
LVII
201
LVIII
207
LIX
211
LX
212
LXI
214
LXII
221
LXIII
222
LXIV
224

XI
38
XII
40
XIII
45
XIV
48
XV
50
XVI
51
XVII
54
XVIII
56
XIX
59
XX
67
XXI
69
XXII
76
XXIII
78
XXIV
93
XXV
95
XXVI
102
XXVII
106
XXVIII
111
XXIX
113
XXX
115
XXXI
119
XXXII
120
XXXIII
126
XXXIV
127
XXXV
131
XXXVI
134
XXXVII
135
XXXVIII
138
XXXIX
139
XL
140
XLI
144
XLII
151
XLIII
153
XLIV
156
XLV
159
XLVI
165
XLVII
167
XLVIII
168
XLIX
170
L
171
LI
176
LII
177
LIII
182
LIV
185
LV
195
LVI
200
LXV
225
LXVI
233
LXVIII
235
LXIX
236
LXXI
237
LXXII
245
LXXIII
248
LXXIV
254
LXXV
257
LXXVI
261
LXXVII
269
LXXVIII
270
LXXIX
274
LXXX
277
LXXXI
281
LXXXII
282
LXXXIII
285
LXXXIV
287
LXXXV
296
LXXXVI
300
LXXXVII
301
LXXXVIII
304
LXXXIX
307
XC
308
XCI
311
XCII
314
XCIII
316
XCIV
318
XCV
322
XCVI
329
XCVII
330
XCVIII
331
XCIX
338
C
339
CI
340
CII
348
CIII
353
CIV
354
CV
355
CVI
356
CVII
357
CVIII
359
CIX
360
CX
363
CXI
365
Opphavsrett

Andre utgaver - Vis alle

Vanlige uttrykk og setninger

Referanser til denne boken

Bibliografisk informasjon