A Course In Model Theory Stable Theories
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A Course In Model Theory
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Author : Katrin Tent
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-08
A Course In Model Theory written by Katrin Tent and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Mathematics categories.
Concise introduction to current topics in model theory, including simple and stable theories.
A Course In Model Theory Stable Theories
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Author : Katrin Tent
language : en
Publisher:
Release Date : 2012
A Course In Model Theory Stable Theories written by Katrin Tent and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Model theory categories.
This concise introduction to model theory begins with standard notions and takes the reader through to more advanced topics such as stability, simplicity and Hrushovski constructions. The authors introduce the classic results, as well as more recent developments in this vibrant area of mathematical logic. Concrete mathematical examples are included throughout to make the concepts easier to follow. The book also contains over 200 exercises, many with solutions, making the book a useful resource for graduate students as well as researchers.
A Course In Model Theory
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Author : Bruno Poizat
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Course In Model Theory written by Bruno Poizat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Can we reproduce the inimitable, or give a new life to what has been af fected by the weariness of existence? Folks, what you have in your hands is a translation into English of a book that was first published in 1985 by its author, that is, myself, at the end of an editorial adventure about which you will find some details later. It was written in a dialect of Latin that is spoken as a native language in some parts of Europe, Canada, the U. S. A. , the West Indies, and is used as a language of communication between several countries in Africa. It is also sometimes used as a lan guage of communication between the members of a much more restricted community: mathematicians. This translation is indeed quite a faithful rendering of the original: Only a final section, on the reals, has been added to Chapter 6, plus a few notes now and then. On the title page you see an inscription in Arabic letters, with a transcription in the Latin (some poorly informed people say English!) alphabet below; I designed the calligraphy myself.
A Course On Basic Model Theory
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Author : Haimanti Sarbadhikari
language : en
Publisher: Springer
Release Date : 2017-09-05
A Course On Basic Model Theory written by Haimanti Sarbadhikari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with Mathematics categories.
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.
Topics In Model Theory
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Author : Anand Pillay
language : en
Publisher: World Scientific
Release Date : 2024-04-29
Topics In Model Theory written by Anand Pillay and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-29 with Mathematics categories.
This book has two chapters. The first is a modern or contemporary account of stability theory. A focus is on the local (formula-by-formula) theory, treated a little differently from in the author's book Geometric Stability Theory. There is also a survey of general and geometric stability theory, as well as applications to combinatorics (stable regularity lemma) using pseudofinite methods.The second is an introduction to 'continuous logic' or 'continuous model theory,' drawing on the main texts and papers, but with an independent point of view. This chapter includes some historical background, including some other formalisms for continuous logic and a discussion of hyperimaginaries in classical first order logic.These chapters are based around notes, written by students, from a couple of advanced graduate courses in the University of Notre Dame, in Autumn 2018, and Spring 2021.
Groups And Model Theory
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Author : Olga Kharlampovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-05-10
Groups And Model Theory written by Olga Kharlampovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-10 with Mathematics categories.
This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field. Topics covered include: stable groups and generalizations, model theory of nonabelian free groups and of rigid solvable groups, pseudofinite groups, approximate groups, topological dynamics, groups interpreting the arithmetic. The book is intended for mathematicians and graduate students in group theory and model theory. The book follows the course of the GAGTA (Geometric and Asymptotic Group Theory with Applications) conference series. The first book, "Complexity and Randomness in Group Theory. GAGTA book 1," can be found here: http://www.degruyter.com/books/978-3-11-066491-1 .
Model Theory Of Fields
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Author : David Marker
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Model Theory Of Fields written by David Marker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
This book introduces the active area of the model theory of fields, concentrating on connections to stability theory.
A Guide To Nip Theories
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Author : Pierre Simon
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-16
A Guide To Nip Theories written by Pierre Simon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-16 with Mathematics categories.
The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.
Logic Colloquium 85
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Author : The Paris Logic The Paris Logic Group
language : en
Publisher: Elsevier
Release Date : 1987-01-01
Logic Colloquium 85 written by The Paris Logic The Paris Logic Group and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Mathematics categories.
The bulk of this volume consists of invited addresses presented at the Colloquium. These contributions report on recent or ongoing research in some of the mainstream areas of mathematical logic: model theory, both pure and in its applications (to group theory and real algebraic geometry); and proof theory, applied to set theory and diophantine equations.The major novel aspect of the book is the important place accorded to the connections of mathematical logic with the neighboring disciplines: mathematical foundations of computer science, and philosophy of mathematics.
A Course On Mathematical Logic
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Author : Shashi Mohan Srivastava
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-16
A Course On Mathematical Logic written by Shashi Mohan Srivastava and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-16 with Mathematics categories.
This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel’s incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. In this new edition, many small and large changes have been made throughout the text. The main purpose of this new edition is to provide a healthy first introduction to model theory, which is a very important branch of logic. Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry. Some proofs, such as the proof of the very important completeness theorem, have been completely rewritten in a more clear and concise manner. The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more.