Computable Functions pdf epub mobi txt 电子书下载 2024

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Nikolai Konstantinovich Vereshchagin

Amer Mathematical Society

2002-12-16

166

Student Mathematical Library

9780821827321

图书标签: 科普

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发表于2024-12-28

Computable Functions epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Computable Functions pdf epub mobi txt 电子书下载 2024

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.

Computable Functions 下载 mobi epub pdf txt 电子书