Kirby J. An Invitation to Model Theory 2019
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Textbook in PDF format This book is designed as an undergraduate or masters level course in model theory. It has grown out of courses taught for many years in Oxford, and courses taught by me at UEA. The choice of material and presentation is based on pedagogical considerations, and I have tried to resist the temptation to be encyclopedic. In this book, the main programme of model theory is to take a familiar mathematical structure and get an understanding of it in the following way. First, find an axiomatisation of its complete theory
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