Matches in Harvard for { <http://id.lib.harvard.edu/aleph/008945786/catalog> ?p ?o. }
Showing items 1 to 24 of
24
with 100 items per page.
- catalog abstract "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.".
- catalog contributor b12564206.
- catalog created "c2002".
- catalog date "2002".
- catalog date "c2002".
- catalog dateCopyrighted "c2002".
- catalog description "Includes bibliographical references (p. [329]-335) and index.".
- catalog description "Part A: Structures and Theories. Basics. Algebraic Examples -- Part B: Realizing and Omitting types. Indiscernibles -- Part C: Categoricity. Omega-stable groups. Geometry of Strongly Minimal Sets -- Appendices.".
- catalog description "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.".
- catalog extent "viii, 342 p. :".
- catalog identifier "0387987606 (hc : alk. paper)".
- catalog isPartOf "Graduate texts in mathematics ; 217".
- catalog issued "2002".
- catalog issued "c2002".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "511.3 21".
- catalog subject "Logic, Symbolic and mathematical.".
- catalog subject "Mathematics.".
- catalog subject "Model theory.".
- catalog subject "QA9.7 .M367 2002".
- catalog tableOfContents "Part A: Structures and Theories. Basics. Algebraic Examples -- Part B: Realizing and Omitting types. Indiscernibles -- Part C: Categoricity. Omega-stable groups. Geometry of Strongly Minimal Sets -- Appendices.".
- catalog title "Model theory : an introduction / David Marker.".
- catalog type "text".