| 期刊全稱 | A Course on Mathematical Logic | | 影響因子2023 | Shashi Mohan Srivastava | | 視頻video | http://file.papertrans.cn/141/140524/140524.mp4 | | 發(fā)行地址 | New edition extensively revised and updated.Includes a new chapter on model theory, and several new sections on topics such as ultraproducts, quantifier eliminations, real closed and algebraically clo | | 學(xué)科分類 | Universitext | | 圖書封面 |  | | 影響因子 | .This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn G?del’s incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. .In this new edition, many small and large changes have been made throughout the text.? The main purpose of this new edition is to?provide a healthy first introduction to model theory, which is a very important branch of logic.? Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry.? Some proofs, such as the proof of the very important completeness theorem,? have been completely rewritten in a more clear and concise manner.? The new edition also introduces new topics, such as the notion | | Pindex | Textbook 2013Latest edition |
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