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David Marker 作者

Springer

译者

2002-08-21 出版日期

353 页数

USD 59.95 价格

Hardcover

丛书系列

9780387987606 图书编码

Model Theory 在线电子书图书标签: 模型论数理逻辑数学逻辑计算复杂性 ebooks Model-Theory Mathematics

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Model Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Model Theory 在线电子书著者简介

Model Theory 在线电子书图书目录

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Model Theory 在线电子书图书描述

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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