模型论引论 [Model Theory: An Introduction] David Marker

ISBN: 9787030182968

Published:

342 pages


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模型论引论 [Model Theory: An Introduction]  by  David Marker

模型论引论 [Model Theory: An Introduction] by David Marker
| | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 342 pages | ISBN: 9787030182968 | 6.66 Mb

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,MoreThis 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 Morleys 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 Hrushovskis 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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