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.
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数学史上第一本系统的模型论教材!90年第3版。出版以来一直是学习模型论的首选。即使现在看来,前面四章内容(经典模型论部分)依旧没有过时。
评分数学史上第一本系统的模型论教材!90年第3版。出版以来一直是学习模型论的首选。即使现在看来,前面四章内容(经典模型论部分)依旧没有过时。
评分不同于hodges等从数学角度书写 这本从一阶逻辑角度介绍模型论 更accessible也更浅显
评分不同于hodges等从数学角度书写 这本从一阶逻辑角度介绍模型论 更accessible也更浅显
评分爽死这书~~可惜后面的题已经被人全解了
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