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A Course on Basic Model Theory

  • Haimanti Sarbadhikari
  • Shashi Mohan Srivastava

Table of contents

  1. Front Matter
    Pages i-xix
  2. Haimanti Sarbadhikari, Shashi Mohan Srivastava
    Pages 1-43
  3. Haimanti Sarbadhikari, Shashi Mohan Srivastava
    Pages 45-84
  4. Haimanti Sarbadhikari, Shashi Mohan Srivastava
    Pages 85-103
  5. Haimanti Sarbadhikari, Shashi Mohan Srivastava
    Pages 105-149
  6. Haimanti Sarbadhikari, Shashi Mohan Srivastava
    Pages 151-166
  7. Haimanti Sarbadhikari, Shashi Mohan Srivastava
    Pages 167-192
  8. Haimanti Sarbadhikari, Shashi Mohan Srivastava
    Pages 193-207
  9. Back Matter
    Pages 209-291

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Haimanti Sarbadhikari
    • 1
  • Shashi Mohan Srivastava
    • 2
  1. 1.Stat-Math UnitIndian Statistical InstituteKolkataIndia
  2. 2.Stat-Math UnitIndian Statistical InstituteKolkataIndia

Bibliographic information