本书以现代观点介绍模型论，着重强调其在代数学中的应用。前半部分包括模型构造技巧的典型论述，如类型空间，素模型，饱和模型，可数模型，不可辨元等理论及其应用。在书中后半部分，作者首先介绍莫利的范畴性定理，随之讨论稳定性理论，着重论述Ω－稳定性理论。*后，作者举例阐明了赫鲁索夫斯基如何将这些理论运用于丢番图几何。本书显著特色之一是包含一些其他入门型教材所未涉及的重要论题，如Ω－稳定群和强极小集的几何学。
作者David MarkeR是伊利诺斯大学芝加哥分校的教学教授，主要研究数学逻辑和模型论及其在代数和几何中应用。本书基于作者1998年在数学科学研究所发表的系列演讲。

Introduction
1 Structurese and Theories
1.1 Languages and Structures
1.2 Theories
1.3 Defiable Sets and Interpretability
1.4 Exercises and Remarks
2 Basic Techniqus
2.1 The Compactness Theoem
2.2 Complete Theories
2.3 Up and Down
2.4 Back and Forth
2.5 Exercises and Remarks
3 Algebraic Examples
3.1 Quantifier Elimintion
3.2 Algebraiclly Closed Fields
3.3 Real Closed Fields
3.4 Exercises and Remarks
4 Realizing and Omitting Types
4.1 Types
4.2 Omitting Types and Prime Models
4.3 Saturated and Hmogeneous Models
4.4 The Number of Countable Models
4 5 Exercises and Remarks
5 Indiscernibles
5.1 Partition Theorems
5.2 Order Indiscernibles
5.3 A Many-Models Theorem
5.4 An Independence Result in Arithmetic
5.5 Exercises and Remarks
6 ω-Stable Theories
7 ω-Stable Groups
8 Geometry of Strongly Minimal Sets
A Set Theory
B Real Algebra
References
Index