Introduction to Mathematical Logic : Set Theory Computable Functions Model Theory

Jerome Malitz

ISBN 10: 1461394430 / ISBN 13: 9781461394433

Edité par Springer New York, Springer New York, 2012

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This book is intended as an undergraduate senior level or beginning graduate level text for mathematical logic. There are virtually no prere quisites, although a familiarity with notions encountered in a beginning course in abstract algebra such as groups, rings, and fields will be useful in providing some motivation for the topics in Part III. An attempt has been made to develop the beginning of each part slowly and then to gradually quicken the pace and the complexity of the material. Each part ends with a brief introduction to selected topics of current interest. The text is divided into three parts: one dealing with set theory, another with computable function theory, and the last with model theory. Part III relies heavily on the notation, concepts and results discussed in Part I and to some extent on Part II. Parts I and II are independent of each other, and each provides enough material for a one semester course. The exercises cover a wide range of difficulty with an emphasis on more routine problems in the earlier sections of each part in order to familiarize the reader with the new notions and methods. The more difficult exercises are accompanied by hints. In some cases significant theorems are devel oped step by step with hints in the problems. Such theorems are not used later in the sequence.

N° de réf. du vendeur 9781461394433

Détails bibliographiques

• Titre: Introduction to Mathematical Logic : Set Theory Computable Functions Model Theory
• Éditeur: Springer New York, Springer New York
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 1461394430
• ISBN à 13 chiffres: 9781461394433
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 244 L x 156 H x 12 P (en millimètres) 244 millimètres de largeur par 156 millimètres de hauteur par 12 millimètres de profondeur
• Poids: 351 grammes

A propos de ce titre

Synopsis

This book is intended as an undergraduate senior level or beginning graduate level text for mathematical logic. There are virtually no prere- quisites, although a familiarity with notions encountered in a beginning course in abstract algebra such as groups, rings, and fields will be useful in providing some motivation for the topics in Part III. An attempt has been made to develop the beginning of each part slowly and then to gradually quicken the pace and the complexity of the material. Each part ends with a brief introduction to selected topics of current interest. The text is divided into three parts: one dealing with set theory, another with computable function theory, and the last with model theory. Part III relies heavily on the notation, concepts and results discussed in Part I and to some extent on Part II. Parts I and II are independent of each other, and each provides enough material for a one semester course. The exercises cover a wide range of difficulty with an emphasis on more routine problems in the earlier sections of each part in order to familiarize the reader with the new notions and methods. The more difficult exercises are accompanied by hints. In some cases significant theorems are devel- oped step by step with hints in the problems. Such theorems are not used later in the sequence.