A Course on Basic Model Theory [Hardcover]

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.

Chapter 1.?Basic Introductory Concepts.- Chapter 2.?Basic Introductory Results.- Chapter 3.?Spaces of Types.- Chapter 4.?Good Structures and Good Theories.- Chapter 5.?Morley Categoricity Theorem and Forking Independence.- Chapter 6.?Model Theory of Valued Fields.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 ones shelves & . (Mark Hunacek, MAA Reviews, December, 2017)

H. SARBADHIKARI graduated from the Indian Statistical Institute, Kolkata, in 1979 under the supervision of Prof. A. Maitra. She was a Ford Foundation Fellow at the University of California, Los Angeles, in 1979, and a visiting assistant professor at the University of Illinois, Chicago, in 1980. She joined the Indian Statistical Institute, Kolkata, in 1980, as the permanent facultylã9