Introduction to Mathematical Logic: Set Theory Computable Functions Model Theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1979
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XII, 198p. 2 illus) |
| ISBN: | 9781461394419 9781461394433 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4613-9441-9 |
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Datensatz im Suchindex
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-9441-9 |
| format | Electronic eBook |
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| spelling | Malitz, Jerome Verfasser aut Introduction to Mathematical Logic Set Theory Computable Functions Model Theory by Jerome Malitz New York, NY Springer US 1979 1 Online-Ressource (XII, 198p. 2 illus) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 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 Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mathematik (DE-588)4037944-9 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Logik (DE-588)4036202-4 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Mathematische Logik (DE-588)4037951-6 s 2\p DE-604 https://doi.org/10.1007/978-1-4613-9441-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Malitz, Jerome Introduction to Mathematical Logic Set Theory Computable Functions Model Theory Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mathematik (DE-588)4037944-9 gnd Logik (DE-588)4036202-4 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4036202-4 (DE-588)4037951-6 |
| title | Introduction to Mathematical Logic Set Theory Computable Functions Model Theory |
| title_auth | Introduction to Mathematical Logic Set Theory Computable Functions Model Theory |
| title_exact_search | Introduction to Mathematical Logic Set Theory Computable Functions Model Theory |
| title_full | Introduction to Mathematical Logic Set Theory Computable Functions Model Theory by Jerome Malitz |
| title_fullStr | Introduction to Mathematical Logic Set Theory Computable Functions Model Theory by Jerome Malitz |
| title_full_unstemmed | Introduction to Mathematical Logic Set Theory Computable Functions Model Theory by Jerome Malitz |
| title_short | Introduction to Mathematical Logic |
| title_sort | introduction to mathematical logic set theory computable functions model theory |
| title_sub | Set Theory Computable Functions Model Theory |
| topic | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mathematik (DE-588)4037944-9 gnd Logik (DE-588)4036202-4 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| topic_facet | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Logik Mathematische Logik |
| url | https://doi.org/10.1007/978-1-4613-9441-9 |
| work_keys_str_mv | AT malitzjerome introductiontomathematicallogicsettheorycomputablefunctionsmodeltheory |