Lectures on Classical Differential Geometry

Cover
Courier Corporation, 01.01.1961 - 232 Seiten
3 Rezensionen
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Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student.
Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there.
For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.

 

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Inhalt

III
1
VI
5
VII
10
VIII
13
IX
15
X
18
XI
23
XII
26
XXXI
105
XXXII
106
XXXIII
110
XXXIV
115
XXXV
120
XXXVI
124
XXXVII
127
XL
131

XIII
33
XIV
36
XV
39
XVI
44
XVII
47
XVIII
53
XIX
55
XXI
58
XXII
62
XXIII
66
XXIV
73
XXV
77
XXVI
83
XXVII
86
XXVIII
93
XXIX
96
XXX
99
XLI
136
XLII
140
XLIII
144
XLIV
147
XLV
150
XLVI
153
XLVII
162
XLVIII
168
XLIX
175
L
182
LI
189
LII
196
LIII
201
LIV
205
LV
217
LVI
226
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