Logical Number Theory I: An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1991
|
| Schriftenreihe: | Universitext
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (X, 405p. 13 illus) |
| ISBN: | 9783642754623 9783540522362 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-642-75462-3 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642754623 9783540522362 |
| issn | 0172-5939 |
| language | English |
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| spelling | Smoryński, Craig Verfasser aut Logical Number Theory I An Introduction by Craig Smoryński Berlin, Heidelberg Springer Berlin Heidelberg 1991 1 Online-Ressource (X, 405p. 13 illus) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 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 Mathematics Logic, Symbolic and mathematical Number theory Mathematical Logic and Foundations Number Theory Mathematik https://doi.org/10.1007/978-3-642-75462-3 Verlag Volltext |
| spellingShingle | Smoryński, Craig Logical Number Theory I An Introduction Mathematics Logic, Symbolic and mathematical Number theory Mathematical Logic and Foundations Number Theory Mathematik |
| title | Logical Number Theory I An Introduction |
| title_auth | Logical Number Theory I An Introduction |
| title_exact_search | Logical Number Theory I An Introduction |
| title_full | Logical Number Theory I An Introduction by Craig Smoryński |
| title_fullStr | Logical Number Theory I An Introduction by Craig Smoryński |
| title_full_unstemmed | Logical Number Theory I An Introduction by Craig Smoryński |
| title_short | Logical Number Theory I |
| title_sort | logical number theory i an introduction |
| title_sub | An Introduction |
| topic | Mathematics Logic, Symbolic and mathematical Number theory Mathematical Logic and Foundations Number Theory Mathematik |
| topic_facet | Mathematics Logic, Symbolic and mathematical Number theory Mathematical Logic and Foundations Number Theory Mathematik |
| url | https://doi.org/10.1007/978-3-642-75462-3 |
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