Title
Mathematical Logic (Dover Books on Mathematics),Used
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Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text. It begins with an elementary but thorough overview of mathematical logic of first order. The treatment extends beyond a single method of formulating logic to offer instruction in a variety of techniques: model theory (truth tables), Hilberttype proof theory, and proof theory handled through derived rules.The second part supplements the previously discussed material and introduces some of the newer ideas and the more profound results of twentiethcentury logical research. Subsequent chapters explore the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. The author, Stephen Cole Kleene, was Cyrus C. MacDuffee Professor of Mathematics at the University of Wisconsin, Madison. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index.
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- Q: How many pages does this book have? A: This book has four hundred thirty-two pages. It provides an extensive overview of mathematical logic, covering various techniques and theories.
- Q: What is the binding type of this book? A: The binding type is paperback. This makes it lightweight and easy to handle for students and readers.
- Q: What are the dimensions of this book? A: The dimensions are five point five one inches in length, one inch in width, and eight point two seven inches in height. This size makes it portable for studying.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners. It provides a thorough introduction to mathematical logic without requiring prior knowledge.
- Q: How do I study from this book? A: You can study from this book by following the structured chapters and exercises. It includes a variety of techniques to enhance understanding.
- Q: What level of mathematics is required to understand this book? A: A basic understanding of undergraduate mathematics is recommended. The book is designed for students with no prior classroom instruction in mathematical logic.
- Q: How should I store this book? A: Store this book in a dry place, standing upright on a shelf. Avoid exposure to direct sunlight to prevent any damage to the cover or pages.
- Q: Can I clean this book if it gets dirty? A: Yes, you can gently wipe the cover with a soft, dry cloth. Avoid using water or cleaning solutions to maintain its condition.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for a return or exchange. Ensure you have your receipt or order confirmation ready.
- Q: Is this book appropriate for advanced readers? A: Yes, advanced readers will find this book valuable. It covers profound results in mathematical logic suitable for deeper study.
- Q: How do I reference this book in my work? A: You can reference this book using the title 'Mathematical Logic' by Stephen Cole Kleene, published by Dover Publications in the year two thousand.
- Q: What topics does this book cover? A: This book covers first-order logic, model theory, proof theory, and formal number theory. It also discusses Godel's incompleteness and undecidability results.
- Q: Does this book include exercises or problems? A: Yes, this book includes exercises and problems to help reinforce learning. They are designed to challenge and enhance your understanding of the material.
- Q: What is the author's background? A: The author, Stephen Cole Kleene, was a distinguished professor of mathematics at the University of Wisconsin, Madison. He is known for his contributions to mathematical logic.
- Q: Is there a bibliography included in the book? A: Yes, the book includes a bibliography. This provides additional resources for further reading and study in mathematical logic.