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Author :
Publisher : World Scientific
ISBN 13 : 981283382X
Total Pages : 220 pages
Book Rating : 4.8/5 (128 download)
Download or read book Saturated Model Theory (2nd Edition) written by and published by World Scientific. This book was released on 2009 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerald E. Sacks
Publisher : Addison Wesley Longman
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.3/5 (91 download)
Download or read book Saturated Model Theory written by Gerald E. Sacks and published by Addison Wesley Longman. This book was released on 1972 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9780720422009
Total Pages : 0 pages
Book Rating : 4.4/5 (22 download)
Download or read book Model Theory written by and published by . This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerald E Sacks
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107324
Total Pages : 220 pages
Book Rating : 4.8/5 (131 download)
Download or read book Saturated Model Theory (2nd Edition) written by Gerald E Sacks and published by World Scientific Publishing Company. This book was released on 2009-10-02 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the material for a first course in pure model theory with applications to differentially closed fields. Topics covered in this book include saturated model criteria for model completeness and elimination of quantifiers; Morley rank and degree of element types; categoricity in power; two-cardinal theorems; existence and uniqueness of prime model extensions of substructures of models of totally transcendental theories; and homogeneity of models of ϖ1-categorical theories.
Author : David Marker
Publisher : Springer Science & Business Media
ISBN 13 : 0387227342
Total Pages : 342 pages
Book Rating : 4.3/5 (872 download)
Download or read book Model Theory : An Introduction written by David Marker and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
Author : Wilfrid Hodges
Publisher : Cambridge University Press
ISBN 13 : 9780521304429
Total Pages : 810 pages
Book Rating : 4.3/5 (44 download)
Download or read book Model Theory written by Wilfrid Hodges and published by Cambridge University Press. This book was released on 1993-03-11 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.
Author : Bruno Poizat
Publisher : Springer Science & Business Media
ISBN 13 : 1441986227
Total Pages : 472 pages
Book Rating : 4.4/5 (419 download)
Download or read book A Course in Model Theory written by Bruno Poizat and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.
Author : Wilfrid Hodges
Publisher : Cambridge University Press
ISBN 13 : 9780521587136
Total Pages : 322 pages
Book Rating : 4.5/5 (871 download)
Download or read book A Shorter Model Theory written by Wilfrid Hodges and published by Cambridge University Press. This book was released on 1997-04-10 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading. This book will benefit graduate students with an interest in model theory.
Author : C.C. Chang
Publisher : Courier Corporation
ISBN 13 : 0486310957
Total Pages : 674 pages
Book Rating : 4.4/5 (863 download)
Download or read book Model Theory written by C.C. Chang and published by Courier Corporation. This book was released on 2013-10-03 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : L. Pacholski
Publisher : Springer
ISBN 13 : 354038393X
Total Pages : 420 pages
Book Rating : 4.5/5 (43 download)
Download or read book Model Theory of Algebra and Arithmetic written by L. Pacholski and published by Springer. This book was released on 2006-11-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jonathan Kirby
Publisher : Cambridge University Press
ISBN 13 : 1316732398
Total Pages : 197 pages
Book Rating : 4.3/5 (167 download)
Download or read book An Invitation to Model Theory written by Jonathan Kirby and published by Cambridge University Press. This book was released on 2019-04-18 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory begins with an audacious idea: to consider statements about mathematical structures as mathematical objects of study in their own right. While inherently important as a tool of mathematical logic, it also enjoys connections to and applications in diverse branches of mathematics, including algebra, number theory and analysis. Despite this, traditional introductions to model theory assume a graduate-level background of the reader. In this innovative textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, paying particular attention to definable sets throughout. With numerous exercises of varying difficulty, this is an accessible introduction to model theory and its place in mathematics.
Author : David Marker
Publisher : Cambridge University Press
ISBN 13 : 1316858081
Total Pages : 192 pages
Book Rating : 4.3/5 (168 download)
Download or read book Lectures on Infinitary Model Theory written by David Marker and published by Cambridge University Press. This book was released on 2016-10-27 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinitary logic, the logic of languages with infinitely long conjunctions, plays an important role in model theory, recursion theory and descriptive set theory. This book is the first modern introduction to the subject in forty years, and will bring students and researchers in all areas of mathematical logic up to the threshold of modern research. The classical topics of back-and-forth systems, model existence techniques, indiscernibles and end extensions are covered before more modern topics are surveyed. Zilber's categoricity theorem for quasiminimal excellent classes is proved and an application is given to covers of multiplicative groups. Infinitary methods are also used to study uncountable models of counterexamples to Vaught's conjecture, and effective aspects of infinitary model theory are reviewed, including an introduction to Montalbán's recent work on spectra of Vaught counterexamples. Self-contained introductions to effective descriptive set theory and hyperarithmetic theory are provided, as is an appendix on admissible model theory.
Author : Philipp Rothmaler
Publisher : CRC Press
ISBN 13 : 0429668503
Total Pages : 324 pages
Book Rating : 4.4/5 (296 download)
Download or read book Introduction to Model Theory written by Philipp Rothmaler and published by CRC Press. This book was released on 2018-12-07 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.
Author : Razvan Diaconescu
Publisher : Springer Science & Business Media
ISBN 13 : 3764387084
Total Pages : 377 pages
Book Rating : 4.7/5 (643 download)
Download or read book Institution-independent Model Theory written by Razvan Diaconescu and published by Springer Science & Business Media. This book was released on 2008-08-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops model theory independently of any concrete logical system or structure, within the abstract category-theoretic framework of the so called ‘institution theory’. The development includes most of the important methods and concepts of conventional concrete model theory at the abstract institution-independent level. Consequently it is easily applicable to a rather large diverse collection of logics from the mathematical and computer science practice.
Author :
Publisher : Elsevier
ISBN 13 : 9780080533698
Total Pages : 619 pages
Book Rating : 4.5/5 (336 download)
Download or read book Recursive Model Theory written by and published by Elsevier. This book was released on 1998-11-30 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recursive Model Theory
Author : Cyrus F. Nourani
Publisher : CRC Press
ISBN 13 : 1482231506
Total Pages : 296 pages
Book Rating : 4.4/5 (822 download)
Download or read book A Functorial Model Theory written by Cyrus F. Nourani and published by CRC Press. This book was released on 2016-04-19 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.
Author : Rod Downey
Publisher : Cambridge University Press
ISBN 13 : 1139916831
Total Pages : 540 pages
Book Rating : 4.1/5 (399 download)
Download or read book Turing's Legacy written by Rod Downey and published by Cambridge University Press. This book was released on 2014-05-01 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Turing was an inspirational figure who is now recognised as a genius of modern mathematics. In addition to leading the Allied forces' code-breaking effort at Bletchley Park in World War II, he proposed the theoretical foundations of modern computing and anticipated developments in areas from information theory to computer chess. His ideas have been extraordinarily influential in modern mathematics and this book traces such developments by bringing together essays by leading experts in logic, artificial intelligence, computability theory and related areas. Together, they give insight into this fascinating man, the development of modern logic, and the history of ideas. The articles within cover a diverse selection of topics, such as the development of formal proof, differing views on the Church–Turing thesis, the development of combinatorial group theory, and Turing's work on randomness which foresaw the ideas of algorithmic randomness that would emerge many years later.
