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A Guide to Classical and Modern Model Theory, Marcja Annalisa, Toffalori Carlo



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Цена: 10971р.
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Автор: Marcja Annalisa, Toffalori Carlo
Название:  A Guide to Classical and Modern Model Theory
Издательство: Springer
Классификация:
Логика
Основы математики
Алгебра

ISBN: 1402013310
ISBN-13(EAN): 9781402013317
ISBN: 1-402-01331-0
ISBN-13(EAN): 978-1-402-01331-7
Обложка/Формат: Paperback
Страницы: 384
Вес: 1.2 кг.
Дата издания: 01.06.2003
Серия: Trends in Logic
Язык: English
Иллюстрации: Biography
Размер: 24.18 x 16.00 x 2.18
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии
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.
Дополнительное описание: Формат: 240x160
Круг читателей: Trainees, professional model theorists, mathematicians
Ключевые слова:
Язык: eng





Classical Descriptive Set Theory

Автор: Kechris
Название: Classical Descriptive Set Theory
ISBN: 0387943749 ISBN-13(EAN): 9780387943749
Издательство: Springer
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Цена: 6265 р.
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Описание: Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory.
This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation.

Problems and Theorems in Classical Set Theory

Автор: Komj?th
Название: Problems and Theorems in Classical Set Theory
ISBN: 038730293X ISBN-13(EAN): 9780387302935
Издательство: Springer
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Цена: 6269 р.
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Описание: This volume contains a variety of problems from classical set theory. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. The problems vary in difficulty, and are organized in such a way that earlier problems help in the solution of later ones. For many of the problems, the authors also trace the history of the problems and then provide proper reference at the end of the solution.

The Theory of Classical Valuations

Автор: Ribenboim
Название: The Theory of Classical Valuations
ISBN: 0387985255 ISBN-13(EAN): 9780387985251
Издательство: Springer
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Цена: 17241 р.
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Описание: Kurschak formally introduced the concept of a valuation of a field, as being real valued functions on the set of non-zero elements of the field satisfying certain properties, like the p-adic valuations. Ostrowski, Hasse, Schmidt and others developed this theory. These are the topics which are the object of this book.

The Medieval Heritage in Early Modern Metaphysics and Modal Theory, 1400-1700

Автор: Friedman R.L., Nielsen L.O.
Название: The Medieval Heritage in Early Modern Metaphysics and Modal Theory, 1400-1700
ISBN: 140201631X ISBN-13(EAN): 9781402016318
Издательство: Springer
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Цена: 20376 р.
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Описание: The thirteen articles brought together in this volume explore key aspects of the transmission of learning and the transformation of thought from the late Middle Ages to the early modern period. Focusing on important topics in early modern metaphysics, philosophical theology, and modal theory, the contributions gathered here view developments in the early modern period against the backdrop of late-medieval scholasticism. This approach not only reveals the continuity of Western intellectual life in a period of profound change, but also makes it possible to identify with precision what is original in early modern thought. The topics dealt with include metaphysics as a science, the rise of probabilistic modality, freedom of the human will, as well as the role and validity of logical reasoning in speculative theology. The volume will be of interest to scholars who work on medieval and early modern philosophy, theology, and intellectual history.

A Modern Perspective on Type Theory / From its Origins until Today

Автор: Kamareddine F.D., Laan T., Nederpelt Rob
Название: A Modern Perspective on Type Theory / From its Origins until Today
ISBN: 1402023340 ISBN-13(EAN): 9781402023347
Издательство: Springer
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Цена: 18805 р.
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Описание: This book provides an overview of type theory. The first part of the book is historical, yet at the same time, places historical systems in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms. The third part proposes new systems that bring more advantages together.

A Course in Model Theory

Автор: Poizat
Название: A Course in Model Theory
ISBN: 0387986553 ISBN-13(EAN): 9780387986555
Издательство: Springer
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Цена: 6265 р.
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Описание: Translated from the French, this book presents an introduction to first-order model theory. Starting from scratch, it reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It introduces logic via the study of the models of arithmetic.

Mathematical logic recursion theory, godel`s theorem, set theory and model theory

Автор: Cori, Rene Lascar, D.
Название: Mathematical logic recursion theory, godel`s theorem, set theory and model theory
ISBN: 0198500505 ISBN-13(EAN): 9780198500506
Издательство: Oxford Academ
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Цена: 8283 р.
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Описание: The requirement to reason logically forms the basis of all mathematics, and hence mathematical logic is one of the most fundamental topics that students study. Assuming no prior knowledge of the topic, this book provides an introduction for advanced undergraduate students. The concept of model underlies the text, giving it a theoretical coherence.

Classical Galois theory with examples, 2 nd ed.

Автор: Gaal, Lisl,
Название: Classical Galois theory with examples, 2 nd ed.
ISBN: 0821813757 ISBN-13(EAN): 9780821813751
Издательство: Oxford Academ
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Цена: 4826 р.
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Описание: Galois theory is one of the most beautiful subjects in mathematics, but it is heard to appreciate this fact fully without seeing specific examples. Numerous examples are therefore included throughout the text, in the hope that they will lead to a deeper understanding and genuine appreciation of the more abstract and advanced literature on Galois theory. This book is intended for beginning graduate students who already have some background in algebra, including some elementary theory of groups, rings and fields. The expositions and proofs are intended to present Galois theory in as simple a manner as possible, sometimes at the expense of brevity. The book is for students and intends to make them take an active part in mathematics rather than merely read, nod their heads at appropriate places, skip the exercises, and continue on to the next section.

Classical Recursion Theory,

Автор: P. Odifreddi
Название: Classical Recursion Theory,
ISBN: 0444894837 ISBN-13(EAN): 9780444894830
Издательство: Elsevier Science
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Цена: 7832 р.
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Описание: Includes a number of applications to logic (in particular Godel`s theorems) and to computer science, for which Recursion Theory provides the theoretical foundation. This book presents a comprehensive reference for the subject starting from first principles.

Field Theory and its Classical Problems

Автор: Charles Robert Hadlock
Название: Field Theory and its Classical Problems
ISBN: 088385032X ISBN-13(EAN): 9780883850329
Издательство: Cambridge Academ
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Цена: 3335 р.
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Описание: Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular n-gons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals and beyond. The logical pathway is historic, but the terminology is consistent with modern treatments. No previous knowledge of algebra is assumed. Notable topics treated along this route include the transcendence of e and ?, cyclotomic polynomials, polynomials over the integers, Hilbert’s irreducibility theorem, and many other gems in classical mathematics. Historical and bibliographical notes complement the text, and complete solutions are provided to all problems.

Classical Recursion Theory, Volume II,

Автор: P. Odifreddi
Название: Classical Recursion Theory, Volume II,
ISBN: 044450205X ISBN-13(EAN): 9780444502056
Издательство: Elsevier Science
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Цена: 14944 р.
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Описание: Describes the universe from a local (bottom-up or synthetical) point of view, and covers the whole spectrum, from the recursive to the arithmetical sets. This book presents a detailed picture of the computable sets from the perspective of theoretical computer science. It is suitable for those interested in complexity and computability theory.

Introduction to Modern Number Theory / Fundamental Problems, Ideas and Theories

Автор: Manin Yu.I., Panchishkin Alexei A.
Название: Introduction to Modern Number Theory / Fundamental Problems, Ideas and Theories
ISBN: 3540203648 ISBN-13(EAN): 9783540203643
Издательство: Springer
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Цена: 13584 р.
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Описание: Introduction to Modern Number Theory surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects.


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