ENGLISH

Logical Number Theory I: An Introduction

By Craig Smoryński (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1991
ISBN
978-3-540-52236-2, 978-3-642-75462-3
DOI
10.1007/978-3-642-75462-3
Language
english
Format
PDF
Filesize
18 MB (19041043 bytes)
Series
Universitext
Edition
1
Pages
405\415
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Mathematical Logic and Foundations; Number Theory

Description

Number theory as studied by the logician is the subject matter of the book. This first volume can stand on its own as a somewhat unorthodox introduction to mathematical logic for undergraduates, dealing with the usual introductory material: recursion theory, first-order logic, completeness, incompleteness, and undecidability. In addition, its second chapter contains the most complete logical discussion of Diophantine Decision Problems available anywhere, taking the reader right up to the frontiers of research (yet remaining accessible to the undergraduate). The first and third chapters also offer greater depth and breadth in logico-arithmetical matters than can be found in existing logic texts. Each chapter contains numerous exercises, historical and other comments aimed at developing the student's perspective on the subject, and a partially annotated bibliography.

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