Automatic Sequences 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Jean-Paul Allouche 作者

Cambridge University Press

译者

2003-07-21 出版日期

588 页数

USD 67.00 价格

Hardcover

丛书系列

9780521823326 图书编码

Automatic Sequences 在线电子书图书标签: Math

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发表于2024-09-21

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Automatic Sequences 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Automatic Sequences 在线电子书著者简介

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Automatic Sequences 在线电子书图书描述

Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated by 'finite automata'. The authors apply the theory to the study of automatic sequences and their generalizations, such as Sturmian words and k-regular sequences. And further, they provide applications to number theory (particularly to formal power series and transcendence in finite characteristic), physics, computer graphics, and music. Starting from first principles wherever feasible, basic results from combinatorics on words, numeration systems, and models of computation are discussed. Thus this book is suitable for graduate students or advanced undergraduates, as well as for mature researchers wishing to know more about this fascinating subject. Results are presented from first principles wherever feasible, and the book is supplemented by a collection of 460 exercises, 85 open problems, and over 1600 citations to the literature.

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