Space-Filling Curves (Universitext) pdf epub mobi txt 电子书下载 2024

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Hans Sagan

Springer

1994-09-02

209

USD 74.95

Paperback

universitext

9780387942650

图书标签: 科普數學

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发表于2024-09-21

Space-Filling Curves (Universitext) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Space-Filling Curves (Universitext) pdf epub mobi txt 电子书下载 2024

图书描述

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.

Space-Filling Curves (Universitext) 下载 mobi epub pdf txt 电子书