A Topological Picturebook

Front Cover
Springer Science & Business Media, 2007 - Mathematics - 194 pages
1 Review

Praise for George Francis's A Topological Picturebook:

Bravo to Springer for reissuing this unique and beautiful book! It not only reminds the older generation of the pleasures of doing mathematics by hand, but also shows the new generation what ``hands on'' really means.

- John Stillwell, University of San Francisco

The Topological Picturebook has taught a whole generation of mathematicians to draw, to see, and to think.

- Tony Robbin, artist and author of Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought

The classic reference for how to present topological information visually, full of amazing hand-drawn pictures of complicated surfaces.

- John Sullivan, Technische Universitat Berlin

A Topological Picturebook lets students see topology as the original discoverers conceived it: concrete and visual, free of the formalism that burdens conventional textbooks.

- Jeffrey Weeks, author of The Shape of Space

A Topological Picturebook is a visual feast for anyone concerned with mathematical images.  Francis provides exquisite examples to build one's "visualization muscles".  At the same time, he explains the underlying principles and design techniques for readers to create their own lucid drawings.

- George W. Hart, Stony Brook University

In this collection of narrative gems and intriguing hand-drawn pictures, George Francis demonstrates the chicken-and-egg relationship, in mathematics, of image and text. Since the book was first published, the case for pictures in mathematics has been won, and now it is time to reflect on their meaning. A Topological Picturebook remains indispensable.

- Marjorie Senechal, Smith College and co-editor of the Mathematical Intelligencer

 

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Contents

I
1
II
2
III
4
IV
6
V
9
VI
12
VII
14
VIII
16
XLV
86
XLVI
89
XLVII
92
XLIX
95
L
99
LI
101
LII
103
LIII
105

IX
17
X
20
XII
24
XIII
31
XV
33
XVI
34
XVII
35
XVIII
36
XX
39
XXI
40
XXII
41
XXIII
42
XXIV
43
XXV
44
XXVI
46
XXVII
49
XXVIII
50
XXIX
52
XXX
54
XXXI
56
XXXII
58
XXXIII
60
XXXIV
65
XXXV
67
XXXVI
68
XXXVIII
71
XXXIX
74
XLI
77
XLII
78
XLIII
81
XLIV
83
LIV
108
LV
109
LVI
110
LVII
112
LVIII
114
LIX
117
LX
120
LXII
125
LXIII
126
LXIV
130
LXV
131
LXVII
134
LXVIII
136
LXIX
139
LXXI
142
LXXII
144
LXXIII
149
LXXIV
150
LXXV
151
LXXVI
153
LXXVII
155
LXXVIII
156
LXXIX
159
LXXX
162
LXXXI
164
LXXXIII
166
LXXXV
169
LXXXVII
172
LXXXVIII
173
LXXXIX
176
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