Space-filling Curves - Universitext - Hans Sagan - Grāmatas - Springer-Verlag New York Inc. - 9780387942650 - 1994. gada 2. septembris
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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

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 1994. gada 2. septembris
ISBN13 9780387942650
Izdevēji Springer-Verlag New York Inc.
Lapas 209
Izmēri 155 × 235 × 11 mm   ·   303 g
Valoda Angļu  

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