Computable Functions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025

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Nikolai Konstantinovich Vereshchagin 作者

Amer Mathematical Society

譯者

2002-12-16 出版日期

166 頁數

0 價格

Student Mathematical Library 叢書系列

9780821827321 圖書編碼

Computable Functions 在線電子書圖書標籤: 科普

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發表於2025-01-29

Computable Functions 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2025

Computable Functions 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2025

Computable Functions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025

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Computable Functions 在線電子書著者簡介

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

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

Computable Functions 在線電子書著者簡介

Computable Functions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Computable Functions 在線電子書圖書描述

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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