MARC record from Internet Archive

LEADER: 04947cam 2200829 a 4500
001 ocm29791898
003 OCoLC
005 20191230161827.0
008 940121s1994 nyua b 001 0 eng
010 $a 94000246
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020 $a0387942653$q(New York ;$qacid-free paper)
020 $a9780387942650$q(New York ;$qacid-free paper)
020 $a3540942653$q(Berlin ;$qacid-free paper)
020 $a9783540942658$q(Berlin ;$qacid-free paper)
035 $a(OCoLC)29791898
050 00 $aQA643$b.S12 1994
082 00 $a516.3/62$220
084 $a516.362$223
084 $aSK 280$2rvk
084 $aMAT 532f$2stub
100 1 $aSagan, Hans.
245 10 $aSpace-filling curves /$cHans Sagan.
260 $aNew York :$bSpringer-Verlag,$c©1994.
300 $axv, 193 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aUniversitext.
504 $aIncludes bibliographical references (pages 177-185) and index.
505 0 $aIntroduction -- 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.
520 1 $a"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 any finite-dimensional manifold) and Netto demonstrated that such a correspondence cannot be continuous. Dropping the requirement that the mapping be one-to-one, Peano found a continuous map from the interval onto the square (or cube) in 1890. In other words: He found a continuous curve that passes through every point of the square (or cube). This book discusses generalizations and modifications of Peano's constructions, the properties of such curves, and their relationship to fractals." "Surprisingly, there has not been a comprehensive treatment of space-filling curves since Sierpinski's in 1912, when the subject was still in its infancy. The author, who has established his credentials through a series of publications on space-filling curves, provides a rigorous and comprehensive treatment, but also reflects on the subject's historical development and the personalities involved. The only prerequisite is a solid knowledge of Advanced Calculus."--Jacket.
583 1 $aLegacy$c2018$5UoY
650 0 $aCurves on surfaces.
650 0 $aTopology.
650 1 $aTopology.
650 6 $aCourbes sur les surfaces.
650 6 $aTopologie.
650 6 $aFractales.
650 6 $aGéométrie différentielle.
650 6 $aCourbes algébriques.
650 7 $aCurves on surfaces.$2fast$0(OCoLC)fst00885448
650 7 $aTopology.$2fast$0(OCoLC)fst01152692
650 7 $aAbbildung$gMathematik$2gnd
650 7 $aFläche$2gnd
650 7 $aKurve$2gnd
650 7 $aRaumfüllende Kurve$2gnd
650 7 $aTopologie$2gnd
650 7 $aCourbes sur les surfaces.$2ram
650 7 $aTopologie.$2ram
776 08 $iOnline version:$aSagan, Hans.$tSpace-filling curves.$dNew York : Springer-Verlag, ©1994$w(OCoLC)625165103
830 0 $aUniversitext.
856 41 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=006399664&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 41 $3Table of contents$qapplication/pdf$uhttp://www.ulb.tu-darmstadt.de/tocs/30028167.pdf$v20090711000000
856 41 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006399664&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/enhancements/fy0815/94000246-d.html
938 $aBaker & Taylor$bBKTY$c69.95$d69.95$i0387942653$n0002447097$sactive
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938 $aBaker and Taylor$bBTCP$n94000246
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948 $hNO HOLDINGS IN P4A - 450 OTHER HOLDINGS