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Continued Fractions. 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Doug Hensley 作者

World Scientific Pub Co Inc

译者

2006-3 出版日期

260 页数

$ 140.00 价格

HRD

丛书系列

9789812564771 图书编码

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发表于2024-09-21

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Continued Fractions. 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Continued Fractions. 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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The Euclidean algorithm is one of the oldest in mathematics, while the study of continued fractions as tools of approximation goes back at least to Euler and Legendre. While our understanding of continued fractions and related methods for simultaneous diophantine approximation has burgeoned over the course of the past decade and more, many of the results have not been brought together in book form. Continued fractions have been studied from the perspective of number theory, complex analysis, ergodic theory, dynamic processes, analysis of algorithms, and even theoretical physics, which has further complicated the situation. This book places special emphasis on continued fraction Cantor sets and the Hausdorff dimension, algorithms and analysis of algorithms, and multi-dimensional algorithms for simultaneous diophantine approximation. Extensive, attractive computer-generated graphics are presented, and the underlying algorithms are discussed and made available.

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