Computable Analysis

An Introduction

By:

Klaus Weihrauch

Format:

Paperback / softback

Series:

Texts in Theoretical Computer Science: An EATCS Series

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Description

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.

Release date NZ

November 20th, 2013

Author

Klaus Weihrauch

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2000

Illustrations

1 Illustrations, color; 44 Illustrations, black and white; X, 288 p. 45 illus., 1 illus. in color.

Pages

288

Series

Texts in Theoretical Computer Science: An EATCS Series

Dimensions

155x235x16

ISBN-13

9783642631023

Product ID

21840640

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