Introduction to Model Theory (Algebra, Logic and Applications Volume 15)

Model Theory investigates mathematical structures by means of formal languages. This is an introductory text for graduates and undergraduates who wish to learn the basics. Model Theory is attracting more and more interest in the field of mathematics in view of the growing applications to classical parts of mathematics. This book is suitable for readers who have not studied mathematical logic previously and unlike most introductory texts this book avoids syntactical issues which are not too relevant to model theory. Selected exercises have hints and solutions and some reflect very recent research in the field. It also contains a detailed bibliography, an epilogue and hints for further reading including some of the most recent literature of active research. The final chapter contains, for the very first time in an introductory level textboook, two previously unpublished applictions of Model Theory.