Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
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This book is a modern introduction to model theory which stresses applications to algebra throughout the text. The first half of the book includes classical material on model construction techniques, type spaces, prime models, saturated models, countable models, and indiscernibles and their applications. The author also includes an introduction to stability theory beginning with Morley's Categoricity Theorem and concentrating on omega-stable theories. One significant aspect of this text is the inclusion of chapters on important topics not covered in other introductory texts, such as omega-stable groups and the geometry of strongly minimal sets. The author then goes on to illustrate how these ingredients are used in Hrushovski's applications to diophantine geometry.
David Marker is Professor of Mathematics at the University of Illinois at Chicago. His main area of research involves mathematical logic and model theory, and their applications to algebra and geometry. This book was developed from a series of lectures given by the author at the Mathematical Sciences Research Institute in 1998.
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Hardcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. D03610 9780387987606 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2513311
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24 cm. original hardcover. viii,342 pp. references. index. "Graduate Texts in Mathematics". -(few signs of use, otherwise very good). 620g. Nº de ref. del artículo: 72557
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book offers an introductory course in model theory emphasizing connections to algebra. It will be an appropriate introduction both for graduate students interested in advanced work in model theory and for students and researchers in logic or algebra who want to learn the basic results and themes of model theory. In the end, the reader will have a firm background in model theory and be well motivated and well prepared for more advanced treatments like Pillay's 'Geometric Model Theory' or Buechler's 'Essential Stability Theory.'While some familiarity at the undergraduate level with mathematical logic would be helpful, it is not assumed. The author assumes familiarity with algebra at the first-year graduate level. 356 pp. Englisch. Nº de ref. del artículo: 9780387987606
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Condición: Good. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Nº de ref. del artículo: GRP90753579
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasAssumes only a familiarity with algebra at the beginning graduate level Stresses applications to algebra Illustrates several of the ways Model Theory can be a useful tool in analyzing classical math. Nº de ref. del artículo: 5913488
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is a modern introduction to model theory which stresses applications to algebra throughout the text. The first half of the book includes classical material on model construction techniques, type spaces, prime models, saturated models, countable models, and indiscernibles and their applications. The author also includes an introduction to stability theory beginning with Morley's Categoricity Theorem and concentrating on omega-stable theories. One significant aspect of this text is the inclusion of chapters on important topics not covered in other introductory texts, such as omega-stable groups and the geometry of strongly minimal sets. The author then goes on to illustrate how these ingredients are used in Hrushovski's applications to diophantine geometry.David Marker is Professor of Mathematics at the University of Illinois at Chicago. His main area of research involves mathematical logic and model theory, and their applications to algebra and geometry. This book was developed from a series of lectures given by the author at the Mathematical Sciences Research Institute in 1998. Nº de ref. del artículo: 9780387987606
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Hardback. Condición: New. 2002 ed. Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures. Nº de ref. del artículo: LU-9780387987606
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Hardback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 648. Nº de ref. del artículo: C9780387987606
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