Logic of Mathematics : A Modern Course of Classical Logic
Language: English
Published by Wiley & Sons, Incorporated, John, 1997
- First Edition
- Hardcover
- Used
Seller: Better World Books: West, Reno, NV, U.S.A.Better World Books: West
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Condition: Used - Very good
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Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.
Seller Inventory # 4031838-6
- Title
- Logic of Mathematics : A Modern Course of Classical Logic
- Author
- Zbierski, Pawel, Adamowicz, Zofia
- Publisher
- Wiley & Sons, Incorporated, John
- Publication year
- 1997
- Condition
- Very Good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0471060267
- ISBN 13
- 9780471060260
- Edition
- 1st Edition.
- Item weight
- 1.043 pounds
- Dimensions
- N/A
Logic of Mathematics combines a full-scale introductory course in mathematical logic and model theory with a range of specially selected, more advanced theorems. Using a strict mathematical approach, this is the only book available that contains complete and precise proofs of all of these important theorems:
* Gödel's theorems of completeness and incompleteness
* The independence of Goodstein's theorem from Peano arithmetic
* Tarski's theorem on real closed fields
* Matiyasevich's theorem on diophantine formulas
Logic of Mathematics also features:
* Full coverage of model theoretical topics such as definability, compactness, ultraproducts, realization, and omission of types
* Clear, concise explanations of all key concepts, from Boolean algebras to Skolem-Löwenheim constructions and other topics
* Carefully chosen exercises for each chapter, plus helpful solution hints
At last, here is a refreshingly clear, concise, and mathematically rigorous presentation of the basic concepts of mathematical logic-requiring only a standard familiarity with abstract algebra. Employing a strict mathematical approach that emphasizes relational structures over logical language, this carefully organized text is divided into two parts, which explain the essentials of the subject in specific and straightforward terms.
Part I contains a thorough introduction to mathematical logic and model theory-including a full discussion of terms, formulas, and other fundamentals, plus detailed coverage of relational structures and Boolean algebras, Gödel's completeness theorem, models of Peano arithmetic, and much more.
Part II focuses on a number of advanced theorems that are central to the field, such as Gödel's first and second theorems of incompleteness, the independence proof of Goodstein's theorem from Peano arithmetic, Tarski's theorem on real closed fields, and others. No other text contains complete and precise proofs of all of these theorems.
With a solid and comprehensive program of exercises and selected solution hints, Logic of Mathematics is ideal for classroom use-the perfect textbook for advanced students of mathematics, computer science, and logic.
"Synopsis" may belong to another edition of this title.
About the Author
PAWEL ZBIERSKI, PhD, is a professor at the Department of Mathematics at Warsaw University and the coauthor of Hausdorff Gaps and Limits.
"About the title" may belong to another edition of this title.
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