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Titlebook: Computable Analysis; An Introduction Klaus Weihrauch Textbook 2000 Springer-Verlag Berlin Heidelberg 2000 analysis.complexity.complexity in

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书目名称Computable Analysis
副标题An Introduction
编辑Klaus Weihrauch
视频videohttp://file.papertrans.cn/233/232033/232033.mp4
概述First textbook of this kind: a broad systematic introduction to computable analysis connecting analysis with computability and complexity theory.With many examples and figures and numerous exercises.I
丛书名称Texts in Theoretical Computer Science. An EATCS Series
图书封面Titlebook: Computable Analysis; An Introduction Klaus Weihrauch Textbook 2000 Springer-Verlag Berlin Heidelberg 2000 analysis.complexity.complexity in
描述Is the exponential function computable? Are union and intersection of closed subsets of the real plane computable? Are differentiation and integration computable operators? Is zero finding for complex polynomials computable? Is the Mandelbrot set decidable? And in case of computability, what is the computational complexity? Computable analysis supplies exact definitions for these and many other similar questions and tries to solve them. - Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid basis for studying various aspects of computability and complexity in analysis. It is the result of an introductory course given for several years and is written in a style suitable for graduate-level and senior students in computer science and mathematics. Many examples illustrate the new concepts while numerous exercises of varying difficulty extend the material and stimulate readers to work actively on the text.
出版日期Textbook 2000
关键词analysis; complexity; complexity in analysis; computability; computability in analysis; computable analys
版次1
doihttps://doi.org/10.1007/978-3-642-56999-9
isbn_softcover978-3-642-63102-3
isbn_ebook978-3-642-56999-9Series ISSN 1862-4499 Series E-ISSN 1862-4502
issn_series 1862-4499
copyrightSpringer-Verlag Berlin Heidelberg 2000
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2. Computability on the Cantor Space,example by means of Turing machines. For computing functions on other sets . such as natural numbers, rational numbers or finite graphs, words are used as “code words” or “names” of elements of .. Under this view a machine transforms words to words without “understanding” the meaning given to them b
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5. Computability on Closed, Open and Compact Sets,lied to define computable functions on all subsets of ℝ like sup :⊆ 2. → ℝ, which determines the least upper bound for . set . ⊆ ℝ with upper bound. In this section we select three subclasses of subsets of ℝ. which have continuum cardinality, the open, the closed and the compact sets. As llsual for
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