Mathematical Logic (Softcover)
Mathematical Logic (Softcover)
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GOOD: The softcover book shows some signs of use in its slightly bent corners. The spine is tight and the pages are free of writing. The book was printed on acid-free paper.Product Details
From the back cover: "This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems which face the mathematician. The author presents the basic concepts in an unusually clear and accessible fashion. He concentrates on what he views as the central topics of mathematical logic: proof theory, model theory, recursion theory, axiomatic number theory, and set theory. There are many exercises, and they provide the outline of what amounts to a second book that goes into all topics in more depth. This book has played a role in the education of many mature and accomplished researchers."BRIEF CONTENTS
- Chapter 1. The Nature of Mathematical Logic
- Chapter 2. First-Order Theories
- Chapter 3. Theorems in First-Order Theories
- Chapter 4. The Characterization Problem
- Chapter 5. The Theory of Models
- Chapter 6. Incompleteness and Undecidability
- Chapter 7. Recursion Theory
- Chapter 8. The Natural Numbers
- Chapter 9. Set Theory
- Appendix. The Word Problem
- Index
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PUBLISHER: Association for Symbolic Logic (A K Peters;Ltd.)
ISBN-13: 9781568811352
ISBN-10: 1568811357