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Set Theory And The Continuum Problem (Dover Books On Mathematics),Used
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A Lucid, Elegant, And Complete Survey Of Set Theory, This Volume Is Drawn From The Authors' Substantial Teaching Experience. The First Of Three Parts Focuses On Axiomatic Set Theory. The Second Part Explores The Consistency Of The Continuum Hypothesis, And The Final Section Examines Forcing And Independence Results.Part One'S Focus On Axiomatic Set Theory Features Nine Chapters That Examine Problems Related To Size Comparisons Between Infinite Sets, Basics Of Class Theory, And Natural Numbers. Additional Topics Include Author Raymond Smullyan'S Double Induction Principle, Super Induction, Ordinal Numbers, Order Isomorphism And Transfinite Recursion, And The Axiom Of Foundation And Cardinals. The Six Chapters Of Part Two Address Mostowskishepherdson Mappings, Reflection Principles, Constructible Sets And Constructibility, And The Continuum Hypothesis. The Text Concludes With A Sevenchapter Exploration Of Forcing And Independence Results. This Treatment Is Noteworthy For Its Clear Explanations Of Highly Technical Proofs And Its Discussions Of Countability, Uncountability, And Mathematical Induction, Which Are Simultaneously Charming For Experts And Understandable To Graduate Students Of Mathematics.
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- Q: What is the page count of the book? A: The book contains three hundred thirty-six pages. This length allows for a thorough exploration of set theory and its complexities.
- Q: What are the dimensions of this book? A: The book measures six point two six inches in length, one inch in width, and nine point two five inches in height. These dimensions make it a convenient size for reading.
- Q: What binding type does this book have? A: This book is paperback bound. This allows for flexibility while reading and makes it lightweight for easy transport.
- Q: Who is the author of this book? A: The author of this book is Raymond M. Smullyan. He is known for his expertise in logic and mathematics.
- Q: What category does this book fall under? A: This book is categorized under Set Theory. This genre covers foundational concepts in mathematics.
- Q: What topics are covered in this book? A: The book covers axiomatic set theory, the continuum hypothesis, and forcing results. It provides a comprehensive overview for graduate students.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for graduate students and those interested in foundational mathematics. It balances technical details with clear explanations.
- Q: How do I use this book for study? A: You can use this book as a primary resource for understanding set theory concepts. It is particularly useful for coursework or self-study.
- Q: What reading level is this book appropriate for? A: This book is appropriate for graduate-level students. It assumes a basic understanding of mathematics and logic.
- Q: How should I store this book? A: You should store this book in a cool, dry place, preferably upright on a shelf. This will help maintain its condition over time.
- Q: Can I clean this book if it gets dirty? A: Yes, you can clean this book gently with a soft, dry cloth. Avoid using water or cleaning solutions that may damage the cover.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you can contact the seller for a return or exchange. Most retailers have a customer service policy for such issues.
- Q: Is this book safe for all readers? A: Yes, this book is safe for all readers interested in mathematics. It contains no adult content and is educational in nature.
- Q: How is this book compared to other set theory books? A: This book is known for its clarity and thoroughness compared to other set theory texts. It is often recommended for its engaging writing style.
- Q: Does this book include exercises or examples? A: No, this book does not primarily focus on exercises. It is more of a theoretical exploration of set theory concepts.
- Q: What makes this book unique in its subject area? A: This book is unique for its combination of clear explanations and technical proofs. It appeals to both experts and graduate students.