A course in model theory : an introduction to contemporary mathematical logic

Bruno Poizat ; translated [from the French] by Moses Klein

Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.

「Nielsen BookData」より

Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.

「Nielsen BookData」より

[目次]

  • 1 Elementary Classes of Relations.- The Language Associated with a Relation.- 3 Extensions of the Language: Structures.- 4 Compactness.- 5 The Back-and-Forth Method in ?-Saturated Models.- 6 Examples Illustrating the Back-and-Forth Method.- 7 Arithmetic.- 8 Ordinals and Cardinals.- 9 Saturated Models.- 10 Prime Models.- 11 Heirs.- 12 Special Sons, Morley Sequences.- 13 The Fundamental Order.- 14 Stability and Saturated Models.- 15 Forking.- 16 Strong Types.- 17 Notions of Rank.- 18 Stability and Prime Models.- 19 Stability, Indiscernible Sequences and Weights.- 20 Dimension in Models of a Totally Transcendental Theory.- Index of Notation.

「Nielsen BookData」より

[目次]

  • 1 Elementary Classes of Relations.- The Language Associated with a Relation.- 3 Extensions of the Language: Structures.- 4 Compactness.- 5 The Back-and-Forth Method in ?-Saturated Models.- 6 Examples Illustrating the Back-and-Forth Method.- 7 Arithmetic.- 8 Ordinals and Cardinals.- 9 Saturated Models.- 10 Prime Models.- 11 Heirs.- 12 Special Sons, Morley Sequences.- 13 The Fundamental Order.- 14 Stability and Saturated Models.- 15 Forking.- 16 Strong Types.- 17 Notions of Rank.- 18 Stability and Prime Models.- 19 Stability, Indiscernible Sequences and Weights.- 20 Dimension in Models of a Totally Transcendental Theory.- Index of Notation.

「Nielsen BookData」より

この本の情報

書名 A course in model theory : an introduction to contemporary mathematical logic
著作者等 Poizat, Bruno
Klein M.
Klein Moses
書名別名 Cours de théorie des modèles
シリーズ名 Universitext
出版元 Springer
刊行年月 c2000
版表示 Softcover reprint of the original 1st ed. 2000
ページ数 xxxi, 443 p.
大きさ 25 cm
ISBN 9781461264460
9780387986555
NCID BA47500394
※クリックでCiNii Booksを表示
言語 英語
原文言語 フランス語
出版国 アメリカ合衆国
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