Introduction To Model Theory And To The Metamathematics Of Algebra
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Introduction To Model Theory And To The Metamathematics Of Algebra
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Author : Abraham Robinson
language : en
Publisher:
Release Date : 1963
Introduction To Model Theory And To The Metamathematics Of Algebra written by Abraham Robinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Introduction To Model Theory And To The Metamathematics Of Algebra
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Author : Abraham Robinson
language : en
Publisher:
Release Date : 1974
Introduction To Model Theory And To The Metamathematics Of Algebra written by Abraham Robinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Algebra categories.
Model Theory And Algebra
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Author : D.H. Saracino
language : en
Publisher: Springer
Release Date : 2006-11-14
Model Theory And Algebra written by D.H. Saracino and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
A Guide To Classical And Modern Model Theory
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Author : Annalisa Marcja
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-10
A Guide To Classical And Modern Model Theory written by Annalisa Marcja 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 2012-09-10 with Philosophy categories.
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
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Author : C.C. Chang
language : en
Publisher: Courier Corporation
Release Date : 2013-10-03
Model Theory written by C.C. Chang and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-03 with Mathematics categories.
This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.
Asymptotic Differential Algebra And Model Theory Of Transseries
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Author : Matthias Aschenbrenner
language : en
Publisher: Princeton University Press
Release Date : 2017-06-06
Asymptotic Differential Algebra And Model Theory Of Transseries written by Matthias Aschenbrenner and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-06 with Mathematics categories.
Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity. Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
Continuous Model Theory
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Author : Chen Chung Chang
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Continuous Model Theory written by Chen Chung Chang and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
This is a study of the theory of models with truth values in a compact Hausdorff topological space.
Model Theory And The Philosophy Of Mathematical Practice
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Author : John T. Baldwin
language : en
Publisher: Cambridge University Press
Release Date : 2018-01-25
Model Theory And The Philosophy Of Mathematical Practice written by John T. Baldwin 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 2018-01-25 with Mathematics categories.
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Course Of Mathematical Logic
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Author : R. Fraïssé
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Course Of Mathematical Logic written by R. Fraïssé 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 Philosophy categories.
This book is addressed primarily to researchers specializing in mathemat ical logic. It may also be of interest to students completing a Masters Degree in mathematics and desiring to embark on research in logic, as well as to teachers at universities and high schools, mathematicians in general, or philosophers wishing to gain a more rigorous conception of deductive reasoning. The material stems from lectures read from 1962 to 1968 at the Faculte des Sciences de Paris and since 1969 at the Universities of Provence and Paris-VI. The only prerequisites demanded of the reader are elementary combinatorial theory and set theory. We lay emphasis on the semantic aspect of logic rather than on syntax; in other words, we are concerned with the connection between formulas and the multirelations, or models, which satisfy them. In this context considerable importance attaches to the theory of relations, which yields a novel approach and algebraization of many concepts of logic. The present two-volume edition considerably widens the scope of the original [French] one-volume edition (1967: Relation, Formule logique, Compacite, Completude). The new Volume 1 (1971: Relation et Formule logique) reproduces the old Chapters 1, 2, 3, 4, 5 and 8, redivided as follows: Word, formula (Chapter 1), Connection (Chapter 2), Relation, operator (Chapter 3), Free formula (Chapter 4), Logicalformula,denumer able-model theorem (L6wenheim-Skolem) (Chapter 5), Completeness theorem (G6del-Herbrand) and Interpolation theorem (Craig-Lyndon) (Chapter 6), Interpretability of relations (Chapter 7).
A Course In Mathematical Logic
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Author : J.L. Bell
language : en
Publisher: Elsevier
Release Date : 1977-01-01
A Course In Mathematical Logic written by J.L. Bell and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-01-01 with Mathematics categories.
A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.