Computable Functions 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Nikolai Konstantinovich Vereshchagin 作者

Amer Mathematical Society

译者

2002-12-16 出版日期

166 页数

0 价格

Student Mathematical Library 丛书系列

9780821827321 图书编码

Computable Functions 在线电子书图书标签: 科普

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发表于2024-11-27

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Computable Functions 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Computable Functions 在线电子书著者简介

A. Shen: Independent University of Moscow, Moscow, Russia,

N. K. Vereshchagin: Moscow State Lomonosov University, Moscow, Russia

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Computable Functions 在线电子书图书描述

In 1936, before the development of modern computers, Alan Turing proposed the concept of a machine that would embody the interaction of mind, machine, and logical instruction. The idea of a 'universal machine' inspired the notion of programs stored in a computer's memory. Nowadays, the study of computable functions is a core topic taught to mathematics and computer science undergraduates. Based on the lectures for undergraduates at Moscow State University, this book presents a lively and concise introduction to the central facts and basic notions of the general theory of computation.It begins with the definition of a computable function and an algorithm and discusses decidability, enumerability, universal functions, numberings and their properties, $m$-completeness, the fixed point theorem, arithmetical hierarchy, oracle computations, and degrees of unsolvability. The authors complement the main text with over 150 problems. They also cover specific computational models, such as Turing machines and recursive functions. The intended audience includes undergraduate students majoring in mathematics or computer science, and all mathematicians and computer scientists who would like to learn basics of the general theory of computation. The book is also an ideal reference source for designing a course.

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