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Springer Logical Number Theory I: An Introduction - Springer Universitext

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Description

Logical Number Theory I offers an unconventional introduction to mathematical logic through the lens of number theory, bridging foundational concepts with advanced research frontiers. This Springer Universitext volume covers recursion theory, first-order logic, completeness, incompleteness, and undecidability with rigour suitable for undergraduates. The second chapter provides the most comprehensive logical treatment of Diophantine Decision Problems available, guiding readers from fundamental principles to current research areas whilst maintaining accessibility. Whether studying mathematical logic as a primary subject or exploring its applications to number theory, this text combines classical logic education with contemporary developments in decidability and logical foundations.

Key Features

Logical Number Theory I covers recursion theory, first-order logic, completeness, incompleteness, and undecidability for undergraduate mathematics students.

The book includes the most complete logical discussion of Diophantine Decision Problems, taking readers to current research frontiers.

Published by Springer as part of the Universitext series, offering peer-reviewed mathematical scholarship and academic rigour.

An unorthodox introduction that bridges mathematical logic with number theory, suitable as a standalone textbook for advanced undergraduates.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
25 April 1991
Listed Since
10 December 2006

Barcode

No barcode data available

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