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Model Theory is a branch of mathematical logic that studies mathematical structures (“models”) and the formal languages used to describe them, asking which statements are true in which structures and why. Books in this category cover core notions like structures, theories, satisfaction, definability, and types; foundational tools such as compactness and the Löwenheim–Skolem theorems; and modern themes including stability theory, o-minimality, and NIP. The field bridges logic with mainstream mathematics, with applications to algebra, number theory, combinatorics, and connections to computer science and the philosophy of mathematics. Titles range from introductory textbooks and problem-based guides to advanced monographs and research proceedings.

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