The subject of space-filling curves has fascinated mathematicians
for over a century and has intrigued many generations of students
of mathematics. Working in this area is like skating on the edge of
reason. Unfortunately, no comprehensive treatment has ever been
attempted other than the gallant effort by W. Sierpiriski in 1912.
At that time, the subject was still in its infancy and the most
interesting and perplexing results were still to come. Besides,
Sierpiriski's paper was written in Polish and published in a
journal that is not readily accessible (Sierpiriski 2]). Most of
the early literature on the subject is in French, German, and
Polish, providing an additional raison d'etre for a comprehensive
treatment in English. While there was, understandably, some
intensive research activity on this subject around the turn of the
century, contributions have, nevertheless, continued up to the
present and there is no end in sight, indicating that the subject
is still very much alive. The recent interest in fractals has
refocused interest on space filling curves, and the study of
fractals has thrown some new light on this small but venerable part
of mathematics. This monograph is neither a textbook nor an
encyclopedic treatment of the subject nor a historical account, but
it is a little of each. While it may lend structure to a seminar or
pro-seminar, or be useful as a supplement in a course on topology
or mathematical analysis, it is primarily intended for self-study
by the aficionados of classical analysis."
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Universitext |
Release date: |
September 1994 |
First published: |
1994 |
Authors: |
Hans Sagan
|
Dimensions: |
235 x 155 x 11mm (L x W x T) |
Format: |
Paperback
|
Pages: |
194 |
Edition: |
Softcover reprint of the original 1st ed. 1994 |
ISBN-13: |
978-0-387-94265-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
LSN: |
0-387-94265-3 |
Barcode: |
9780387942650 |
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