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Space-filling curves

Author: Hans Sagan
Publisher: New York : Springer-Verlag, ©1994.
Series: Universitext.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The subject of space-filling curves has generated a great deal of interest since the first such curve was discovered by Peano over a century ago. Hilbert, Lebesque, and Sierpinski were among the prominent mathematicians who made significant contributions to the field in its early stages of development." "Cantor showed in 1878 that there is a one-to-one correspondence between an interval and a square (or cube, or  Read more...
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Additional Physical Format: Online version:
Sagan, Hans.
Space-filling curves.
New York : Springer-Verlag, ©1994
(OCoLC)625165103
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Hans Sagan
ISBN: 0387942653 9780387942650 3540942653 9783540942658
OCLC Number: 29791898
Description: xv, 193 pages : illustrations ; 24 cm.
Contents: Introduction --
Hillbert's space-filling curve --
Peano's space-filling curve --
Sierpinski's space-filling curve --
Lebesgue's space-filling curve --
Continuous images of a line segment --
Schoenberg's space-filling curve --
Jordan curves of positive Lebesgue measure --
Fractals.
Series Title: Universitext.
Responsibility: Hans Sagan.
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Abstract:

The subject of space-filling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics.  Read more...

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