Model Theory, 3/e (Paperback)
暫譯: 模型理論,第3版(平裝本)
C.C. Chang, H. Jerome Keisler
- 出版商: Dover Publications
- 出版日期: 2012-06-13
- 售價: $1,420
- 貴賓價: 9.5 折 $1,349
- 語言: 英文
- 頁數: 672
- 裝訂: Paperback
- ISBN: 0486488217
- ISBN-13: 9780486488219
-
相關分類:
離散數學 Discrete-mathematics
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商品描述
Model theory deals with a branch of mathematical logic showing connections between a formal language and its interpretations or models. This is the first and most successful textbook in logical model theory. Extensively updated and corrected in 1990 to accommodate developments in model theoretic methods — including classification theory and nonstandard analysis — the third edition added entirely new sections, exercises, and references.
Each chapter introduces an individual method and discusses specific applications. Basic methods of constructing models include constants, elementary chains, Skolem functions, indiscernibles, ultraproducts, and special models. The final chapters present more advanced topics that feature a combination of several methods. This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory.
Each chapter introduces an individual method and discusses specific applications. Basic methods of constructing models include constants, elementary chains, Skolem functions, indiscernibles, ultraproducts, and special models. The final chapters present more advanced topics that feature a combination of several methods. This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory.
商品描述(中文翻譯)
模型理論是數學邏輯的一個分支,探討形式語言及其詮釋或模型之間的關聯。這是邏輯模型理論中第一本且最成功的教科書。該書在1990年進行了廣泛的更新和修正,以適應模型理論方法的發展——包括分類理論和非標準分析——第三版新增了全新的章節、習題和參考文獻。
每一章介紹一種特定的方法並討論其具體應用。構建模型的基本方法包括常數、基本鏈、Skolem 函數、不可區分元素、超積和特殊模型。最後幾章介紹更高級的主題,這些主題結合了幾種方法。這本經典著作涵蓋了第一階模型理論的大多數方面以及其在代數和集合論中的許多應用。
