书名：Model Theory模型论（第三版）

作者：Chen Chung Chang  

出版社名称：Dover Publications Inc 

出版时间：2012

语种：英语 

ISBN：9780486488219 

商品尺寸：15.5 x 3.6 x 23.1 cm

包装：平装

页数：672（以实物为准）

模型理论处理数学逻辑的一个分支，该逻辑显示形式语言与其解释或模型之间的联系。这是逻辑模型理论的第一本也是最成功的教科书。在1990年进行了广泛的更新和校正，以适应模型理论方法的发展-包括分类理论和非标准分析-第三版增加了全新的部分，练习和参考。

每章介绍一种单独的方法并讨论特定的应用程序。构造模型的基本方法包括常量，基本链，Skolem函数，不可区分，超乘积和特殊模型。*后几章介绍了更高级的主题，这些主题结合了几种方法。这种经典的处理方法涵盖了一阶模型理论的大多数方面及其在代数和集合论中的许多应用。

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.

H. Jerome Keisler was a longtime professor at the University of Wisconsin, Madison, whose research included model theory and nonstandard analysis. He is known for extending the Henkin construction to what are now called Henkin-Keisler models.

C. C. Chang, Professor Emeritus of Mathematics at UCLA, also focused on model theory and proved the ordinal partition theorem. Chang's conjecture is named after him, as is ccc forcing.