One service mathematics has rendered the human race. It has put common
sense back where it belongs. It has put common sense back where it
belongs, on the topmost shelf next to the dusty canister labelled
discarded nonsense. Eric TBell Every picture tells a story. Advenisement
for for Sloan's backache and kidney oils, 1907 The book you have in your
hands as you are reading this, is a text on3-dimensional topology. It
can serve as a pretty comprehensive text book on the subject. On the
other hand, it frequently gets to the frontiers of current research in
the topic. If pressed, I would initially classify it as a monograph,
but, thanks to the over three hundred illustrations of the geometrical
ideas involved, as a rather accessible one, and hence suitable for
advanced classes. The style is somewhat informal; more or less like
orally presented lectures, and the illustrations more than make up for
all the visual aids and handwaving one has at one's command during an
actual presentation.