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Tits Buildings and the Model Theory of Groups, Edited by Katrin Tent



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Цена: 5982р.
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Склад Англия: 892 шт.  Склад Америка: 114 шт.  
При оформлении заказа до: 21 янв 2021
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Автор: Edited by Katrin Tent
Название:  Tits Buildings and the Model Theory of Groups
Издательство: Cambridge Academ
Классификация:
Основы математики

ISBN: 0521010632
ISBN-13(EAN): 9780521010634
ISBN: 0-521-01063-2
ISBN-13(EAN): 978-0-521-01063-4
Обложка/Формат: Paperback
Страницы: 308
Вес: 0.434 кг.
Дата издания: 03.01.2002
Серия: London Mathematical Society Lecture Note Series
Язык: English
Иллюстрации: 8 line figures 1 table
Размер: 228 x 153 x 18
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: This volume contains selected papers by leading researchers from the international conference entitled Tits Buildings and the Model Theory of Groups, held in Wurzburg in 2000. The first part of the book provides a general introduction to many aspects of buildings and their geometries, based on short lecture courses given at the conference. The rest of the book comprises survey and research articles on model theoretic results and techniques, showing the vitality and richness of these branches of mathematics. Among the most fruitful techniques, amalgamation constructions a la Hrushovski are explained and classified as they continue to play an important role both in model theory and geometry. The articles succeed in demonstrating the close connection between geometry, group theory and model theory. The book will be invaluable to graduate students as well as experienced researchers working in these areas of mathematics.
Дополнительное описание: Subject: Mathematics / Algebra
Readership: model theory, geometry, group theory, algebra, logic
Level: graduate students, academic researchers
Format: 228 x 152 mm 308pp 8 line diagrams 1 table
Chapter Titles: Preface; 1. Basics on buildings Theo Grundhofer; 2. An introduction to generalized polygons Hendrik Van Maldeghem; 3. Buildings and classical groups Linus Kramer; 4. Twin buildings Bernhard Muhlherr; 5. Twin trees and twin buildings Mark Ronan; 6. Simple groups of finite Morley rank of even type Tuna Altinel; 7. BN-pairs and groups of finite Morley rank Katrin Tent; 8. CM-trivial stable groups Andreas Baudisch; 9. Amalgames de Hrushovski Bruno Poizat; 10. Rank and homogeneous structures John T. Baldwin; 11. Constructions of semilinear towers of Steiner systems Keith Johnson; 12. Introduction to the Lascar group Martin Ziegler.





Elements of Finite Model Theory

Автор: Libkin Leonid
Название: Elements of Finite Model Theory
ISBN: 3540212027 ISBN-13(EAN): 9783540212027
Издательство: Springer
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Цена: 8359 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book is an introduction to finite model theory which stresses the computer science origins of the area. In addition to presenting the main techniques for analyzing logics over finite models, the book deals extensively with applications in databases, complexity theory, and formal languages, as well as other branches of computer science. It covers Ehrenfeucht-FraГЇssГ© games, locality-based techniques, complexity analysis of logics, including the basics of descriptive complexity, second-order logic and its fragments, connections with finite automata, fixed point logics, finite variable logics, zero-one laws, and embedded finite models, and gives a brief tour of recently discovered applications of finite model theory.This book can be used both as an introduction to the subject, suitable for a one- or two-semester graduate course, or as reference for researchers who apply techniques from logic in computer science.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry

Автор: Cluckers
Название: Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry
ISBN: 1107648815 ISBN-13(EAN): 9781107648814
Издательство: Cambridge Academ
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Цена: 5291 р.
Наличие на складе: Поставка под заказ.

Описание: An overview of different theories of motivic integration and their applications.

Model Theory, Algebra, and Geometry

Автор: Haskell
Название: Model Theory, Algebra, and Geometry
ISBN: 0521143497 ISBN-13(EAN): 9780521143493
Издательство: Cambridge Academ
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Цена: 4140 р.
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Описание: Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications range from a proof of the rationality of certain Poincare series associated to varieties over p-adic fields, to a proof of the Mordell-Lang conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which are relevant. This book, originally published in 2000, arising from a series of introductory lectures for graduate students, provides the necessary background to understanding both the model theory and the mathematics behind these applications. The book is unique in that the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.

Model Theory

Автор: Hodges
Название: Model Theory
ISBN: 0521066360 ISBN-13(EAN): 9780521066365
Издательство: Cambridge Academ
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Цена: 11503 р.
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Описание: An up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians.

A Guide to Classical and Modern Model Theory

Автор: Marcja Annalisa, Toffalori Carlo
Название: A Guide to Classical and Modern Model Theory
ISBN: 1402013310 ISBN-13(EAN): 9781402013317
Издательство: Springer
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Цена: 10971 р.
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Описание: Since its birth, Model Theory has been developing a number of methods and concepts that have their intrinsic relevance, but also provide fruitful and notable applications in various fields of Mathematics. It is a lively and fertile research area which deserves the attention of the mathematical world.This volume: -is easily accessible to young people and mathematicians unfamiliar with logic; -gives a terse historical picture of Model Theory; -introduces the latest developments in the area; -provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters.A Guide to Classical and Modern Model Theory is for trainees and professional model theorists, mathematicians working in Algebra and Geometry and young people with a basic knowledge of logic.

Model Theory: An Introduction

Автор: Marker David
Название: Model Theory: An Introduction
ISBN: 0387987606 ISBN-13(EAN): 9780387987606
Издательство: Springer
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Цена: 5220 р.
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Описание: This book is a modern introduction to model theory which stresses applications to algebra throughout the text. The first half of the book includes classical material on model construction techniques, type spaces, prime models, saturated models, countable models, and indiscernibles and their applications. The author also includes an introduction to stability theory beginning with Morley's Categoricity Theorem and concentrating on omega-stable theories. One significant aspect of this text is the inclusion of chapters on important topics not covered in other introductory texts, such as omega-stable groups and the geometry of strongly minimal sets. The author then goes on to illustrate how these ingredients are used in Hrushovski's applications to diophantine geometry. David Marker is Professor of Mathematics at the University of Illinois at Chicago. His main area of research involves mathematical logic and model theory, and their applications to algebra and geometry. This book was developed from a series of lectures given by the author at the Mathematical Sciences Research Institute in 1998.

Model Theory of Fields

Автор: Marker
Название: Model Theory of Fields
ISBN: 1107168074 ISBN-13(EAN): 9781107168077
Издательство: Cambridge Academ
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Цена: 10929 р.
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Описание: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fifth publication in the Lecture Notes in Logic series, the authors give an insightful introduction to the fascinating subject of the model theory of fields, concentrating on its connections to stability theory. In the first two chapters David Marker gives an overview of the model theory of algebraically closed, real closed and differential fields. In the third chapter Anand Pillay gives a proof that there are 2? non-isomorphic countable differential closed fields. Finally, Margit Messmer gives a survey of the model theory of separably closed fields of characteristic p > 0.

Mathematical Logic and Model Theory

Автор: Prestel
Название: Mathematical Logic and Model Theory
ISBN: 1447121759 ISBN-13(EAN): 9781447121756
Издательство: Springer
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Цена: 5746 р.
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Описание: Mathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra. As a profound application of model theory in algebra, the last part of this book develops a complete proof of Ax and Kochen's work on Artin's conjecture about Diophantine properties of p-adic number fields. The character of model theoretic constructions and results differ quite significantly from that commonly found in algebra, by the treatment of formulae as mathematical objects. It is therefore indispensable to first become familiar with the problems and methods of mathematical logic. Therefore, the text is divided into three parts: an introduction into mathematical logic (Chapter 1), model theory (Chapters 2 and 3), and the model theoretic treatment of several algebraic theories (Chapter 4). This book will be of interest to both advanced undergraduate and graduate students studying model theory and its applications to algebra. It may also be used for self-study.

A Course in Model Theory

Автор: Tent
Название: A Course in Model Theory
ISBN: 052176324X ISBN-13(EAN): 9780521763240
Издательство: Cambridge Academ
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Цена: 5981 р.
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Описание: 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.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry

Автор: Cluckers
Название: Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry
ISBN: 0521149762 ISBN-13(EAN): 9780521149761
Издательство: Cambridge Academ
Рейтинг:
Цена: 7591 р.
Наличие на складе: Поставка под заказ.

Описание: An overview of different theories of motivic integration and their applications.

Model Theory, Algebra, and Geometry

Автор: Haskell
Название: Model Theory, Algebra, and Geometry
ISBN: 0521780683 ISBN-13(EAN): 9780521780681
Издательство: Cambridge Academ
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Цена: 8283 р.
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Описание: Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.

Saturated model theory

Автор: Sacks, Gerald E.
Название: Saturated model theory
ISBN: 9812833811 ISBN-13(EAN): 9789812833815
Издательство: World Scientific Publishing
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Цена: 6212 р.
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Описание: Contains the material for a first course in pure model theory with applications to differentially closed fields. This book covers topics such as saturated model criteria for model completeness and elimination of quantifiers; Morley rank and degree of element types; categoricity in power; and homogeneity of models of categorical theories.


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