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

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出版者:Springer

作者:Hans Sagan

出品人:

页数:209

译者:

出版时间:1994-09-02

价格:USD 74.95

装帧:Paperback

isbn号码:9780387942650

丛书系列:universitext

图书标签: 科普數學

Space-Filling Curves (Universitext) 2024 pdf epub mobi 电子书图书描述

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) 2024 pdf epub mobi 电子书

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