ISBN: 9789056993139

gewerbliches Angebot, [SC: 0.00], Neuware, [PU: CRC Press], 229x152x19 mm, 324, [GW: 528g], [ED: Taschenbuch], DE, Neuware - Model theory investigates mathematical structures by means of … Meer...

gewerbliches Angebot, [SC: 0.00], Neuware, [PU: CRC Press], 229x152x19 mm, 324, [GW: 528g], [ED: Taschenbuch], DE, Neuware - 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.- Besorgungstitel - vorauss. Lieferzeit 3-5 Tage., Banküberweisung, Kreditkarte, PayPal, Internationaler Versand<

2000, ISBN: 9056993135

[EAN: 9789056993139], Neubuch, [PU: CRC Press], nach der Bestellung gedruckt Neuware - Printed after ordering - Model theory investigates mathematical structures by means of formal langua… Meer...

[EAN: 9789056993139], Neubuch, [PU: CRC Press], nach der Bestellung gedruckt Neuware - Printed after ordering - 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., Books<

ISBN: 9789056993139

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 mo… Meer...

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. Trade Books>Trade Paperback>Science>Mathematics>Mathematics, Taylor & Francis Core >1<

ISBN: 9789056993139

Paperback / softback. New. An introductory text, "Model Theory" investigates mathematical structures by means of formal languages. It avoids syntactical issues which are not to… Meer...

Paperback / softback. New. An introductory text, "Model Theory" investigates mathematical structures by means of formal languages. It avoids syntactical issues which are not too relevant to model theory. Selected exercises have hints and solutions and some reflect very recent research in the field., 6<

ISBN: 9789056993139

*Introduction to Model Theory * / 120.49€ / Taschenbuch Buch (kartoniert) no Medien > Bücher Hardcover > Naturwissenschaften, Medizin, Informatik, Technik > Mathematik Buch, CRC Press

*Introduction to Model Theory * / 120.49€ / Taschenbuch Buch (kartoniert) no Medien > Bücher Hardcover > Naturwissenschaften, Medizin, Informatik, Technik > Mathematik Buch, CRC Press<