书目名称 | Introduction to Mathematical Logic |
副标题 | Set Theory Computabl |
编辑 | Jerome Malitz |
视频video | |
丛书名称 | Undergraduate Texts in Mathematics |
图书封面 |  |
描述 | 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 si |
出版日期 | Textbook 1979 |
关键词 | Mathematische Logik; compactness theorem; computability theory; mathematical logic; model theory; proof; s |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4613-9441-9 |
isbn_softcover | 978-1-4613-9443-3 |
isbn_ebook | 978-1-4613-9441-9Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
issn_series | 0172-6056 |
copyright | Springer-Verlag New York Inc. 1979 |