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Book synopsis

This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism; in Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early successes such as defining incomputable problems, c.e. (computably enumerable) sets, and developing methods for proving incomputability; in Part III he explains relative computability, with chapters on computation with external help, degrees of unsolvability, the Turing hierarchy of unsolvability, the class of degrees of unsolvability, c.e. degrees and the priority method, and the arithmetical hierarchy. This is a gentle introduction from the origins of computability theory up to current research, and it will be of value as a textbook and guide for advanced undergraduate and graduate students and researchers in the domains of computability theory and theoretical computer science.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Foundations of Computability Theory
• Author: Borut Robic
• Language: English
• Binding: Paperback
• Number of pages: 331
• EAN: 9783662516010
• ISBN: 9783662516010
• ID: 15368851
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 5329 g
• Dimensions: 235 × 155 × 21 mm
• Date of publishing: 22. October 2016

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