The subject of spacefilling curves has generated a great deal of interest in the 100 years since the first such curve was discovered by Peano. Cantor, Hilbert, Moore, Knopp, Lebesgue, and Polya are among the prominent mathematicians who have contributed to the field. However, there have been no comprehensive treatments of the subject since Siepinsky's in 1912. Cantor showed in 1878 that the number of points on an interval is the same as the number of points in a square (or cube, or whatever), and in 1890 Peano showed that there is indeed a continuous curve that continuously maps all points of a line onto all points of a square, though the curve exists only as a limit of very convoluted curves. This book discusses generalizations of Peano's solution and the properties that such curves must possess and discusses fractals in this context. The only prerequisite is a knowledge of advanced calculus.
About Hans Sagan
Regrettably, right now we simply cannot present you with specifics of your Author Hans Sagan. However, this does not necessarily mean that people don't work on her series. In addition we ask that you simply assist us to with this make any difference. When you have leisure time and require may immensely enjoy in the event you tell people your information. As soon as getting this sort of opinions and data through users concerning the Spacefilling Curves Manager Hans Sagan, most of us very first the woman's check out. Once we make certain that almost all genuine, just publish that. Many of us see why help and also thanks a lot in advance.Details Book
Author  :  Hans Sagan 
Publisher  :  SpringerVerlag New York Inc. 
Data Published  :  06 October 1994 
ISBN  :  0387942653 
EAN  :  9780387942650 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  212 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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