Mathematical logic and model theory : a brief introduction
Mathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra. As a profound applic...
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| Autori principali: | , , |
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| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2011. |
| Serie: | Universitext
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| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 21 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mathematical logic and model theory, a brief introduction, Alexander Prestel, Charles N. Delzell, London, Springer, 2011, 1 vol. (X-193), Universitext, 978-1-447-12175-6 • Mathematical logic and model theory, a brief introduction, Alexander Prestel, Charles N. Delzell, London, Springer, 2011, 1 vol. (X-193), Universitext, 978-1-447-12175-6 • Mathematical Logic and Model Theory, Texte imprimé, 9781447121770 • Mathematical Logic and Model Theory, Texte imprimé, 9781447174653 |
| Riassunto: | Mathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra. As a profound application of model theory in algebra, the last part of this book develops a complete proof of Ax and Kochen's work on Artin's conjecture about Diophantine properties of p-adic number fields. The character of model theoretic constructions and results differs significantly from that commonly found in algebra, by the treatment of formulae as mathematical objects. It is therefore indispensable to first become familiar with the problems and methods of mathematical logic. Therefore, the text is divided into three parts: an introduction into mathematical logic (Chapter 1), model theory (Chapters 2 and 3), and the model theoretic treatment of several algebraic theories (Chapter 4). This book will be of interest to both advanced undergraduate and graduate students studying model theory and its applications to algebra. It may also be used for self-study |
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| Descrizione del documento: | Description d'après consultation du 21 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. p. 183 Index p. 186-190 |
| ISBN: | 9781447121763 |
| ISSN: | 2191-6675 |
| Accesso: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |