Space-filling Curves - Universitext - Hans Sagan - Libros - Springer-Verlag New York Inc. - 9780387942650 - 2 de septiembre de 1994
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Hans Sagan
Space-filling Curves - Universitext Softcover Reprint of the Original 1st Ed. 1994 edition

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The subject of space-filling 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.

209 pages, biography

Medios de comunicación Libros     Paperback Book   (Libro con tapa blanda y lomo encolado)
Publicado 2 de septiembre de 1994
ISBN13 9780387942650
Editores Springer-Verlag New York Inc.
Páginas 209
Dimensiones 155 × 235 × 11 mm   ·   303 g
Lengua Inglés  

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