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Computable Analysis: An Introduction (Texts in Theoretical Computer Science. An EATCS Series) - Hardcover

 
9783540668176: Computable Analysis: An Introduction (Texts in Theoretical Computer Science. An EATCS Series)
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Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid fundament 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.

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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.

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  • PublisherSpringer
  • Publication date2000
  • ISBN 10 3540668179
  • ISBN 13 9783540668176
  • BindingHardcover
  • Number of pages298

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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid fundament 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. 304 pp. Englisch. Seller Inventory # 9783540668176

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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540668176

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