Model Theory: An Introduction(Graduate Texts in Mathematics Vol.217) hardcover VIII, 345 p. 02
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在庫状況
国内在庫有り
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お届け予定日
3~4日
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価格
\13,084(税込)
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発行年月 |
2002年08月 |
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出版社/提供元 |
Springer-Verlag New York |
出版国 |
アメリカ合衆国 |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
hardcover |
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ページ数/巻数 |
VIII, 345 p. |
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ジャンル |
洋書/理工学/数学/数学基礎論 |
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ISBN |
9780387987606 |
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商品コード |
0200238655 |
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本の性格 |
テキスト |
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新刊案内掲載月 |
2002年08月 |
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書評掲載誌 |
Choice |
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商品URL | https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0200238655 |
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内容
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.