A Course on Basic Model Theory

Beschreibung

This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required.

The book can be used for both teaching and self-study, ideally over two semesters. It is primarily aimed at graduate students in mathematical logic who want to specialise in model theory. However, the first two chapters constitute the first introduction to the subject and can be covered in one-semester course to senior undergraduate students in mathematical logic. The book is also suitable for researchers who wish to use model theory in their work.

Broadens readers understanding through its brief, lucid, and focused content on model theory

Provides a systematic approach with plenty of examples and exercises to learn the topic quickly

Presents a quick stepping stone to further research in model theory

Autor*in

Haimanti Sarbadhikari

Themen in »A Course on Basic Model Theory«

Model Theory Mathematical logic Algebra Löwenheim–Skolem Theorem Minimal and O-Minimal Theories Monster Model Stable Theories Morley Categoricity Theorem Forking Independence

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“It is primarily written for graduate students in mathematical logic. … The book is written very carefully, the proofs are clear. It can be recommended to everyone interested in model theory.” (Martin Weese, zbMATH 1425.03001, 2019)
“It covers both the basic terminology and results of the discipline as well as more sophisticated results … and also provides interesting applications to other areas of mathematics, notably algebra. … An instructor of a graduate course in this topic would certainly want to give this book a look … To summarize and conclude: a useful book to have on one’s shelves … .” (Mark Hunacek, MAA Reviews, December, 2017)

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