1.

Record Nr.

UNINA9910254299603321

Autore

Sarbadhikari Haimanti

Titolo

A Course on Basic Model Theory / / by Haimanti Sarbadhikari, Shashi Mohan Srivastava

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017

ISBN

981-10-5098-8

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XIX, 291 p.)

Disciplina

511.3

Soggetti

Logic, Symbolic and mathematical

Geometry, Algebraic

Number theory

Mathematical Logic and Foundations

Algebraic Geometry

Number Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.