Title
The Axiom Of Choice (Dover Books On Mathematics)
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Comprehensive in its selection of topics and results, this selfcontained text examines the relative strengths and consequences of the axiom of choice. Each chapter contains several problems, graded according to difficulty, and concludes with some historical remarks.An introduction to the use of the axiom of choice is followed by explorations of consistency, permutation models, and independence. Subsequent chapters examine embedding theorems, models with finite supports, weaker versions of the axiom, and nontransferable statements. The final sections consider mathematics without choice, cardinal numbers in set theory without choice, and properties that contradict the axiom of choice, including the axiom of determinacy and related topics
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- Q: How many pages does the book have? A: The book has two hundred twenty-four pages. This length allows for a comprehensive exploration of the axiom of choice and its implications.
- Q: What are the dimensions of the book? A: The book measures five point four inches in length, zero point five one inches in width, and eight point three one inches in height. These dimensions make it easily portable for readers.
- Q: What type of binding does the book have? A: The book is paperback bound. This binding style is popular for its flexibility and affordability.
- Q: Who is the author of the book? A: The author of the book is Thomas J. Jech. He is known for his expertise in set theory and mathematical logic.
- Q: What category does this book fall under? A: The book falls under the 'Criticism & Theory' category. This classification indicates its focus on mathematical philosophy and theoretical discussions.
- Q: Is this book suitable for beginners? A: Yes, the book is self-contained and suitable for beginners. It provides an introduction to the axiom of choice and includes graded problems to aid understanding.
- Q: What topics are covered in the book? A: The book covers topics such as consistency, permutation models, and embedding theorems. It also explores the implications of the axiom of choice in various mathematical contexts.
- Q: Are there exercises included in the book? A: Yes, each chapter contains several problems graded by difficulty. This feature helps reinforce the concepts presented in the text.
- Q: Is this book appropriate for advanced readers? A: Yes, advanced readers will find valuable insights. It discusses complex ideas like nontransferable statements and properties contradicting the axiom of choice.
- Q: How should I store the book? A: Store the book in a cool, dry place to protect it from moisture. Keeping it upright and away from direct sunlight will help preserve its condition.
- Q: Can I clean the book if it gets dirty? A: Yes, you can clean the book gently with a soft, dry cloth. Avoid using water or cleaning solutions, as these can damage the pages.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact customer support immediately. Most retailers offer return policies or replacements for damaged items.
- Q: Is there a warranty for the book? A: No, books typically do not come with a warranty. However, many retailers have return policies if you're unsatisfied.
- Q: What if I have questions about the content of the book? A: If you have questions, consider looking for online forums or book clubs focused on mathematics for discussion. Academic resources may also provide insights.
- Q: Does the book reference historical contexts? A: Yes, the final sections of the book include historical remarks. This context enhances the reader's understanding of the axiom of choice's evolution.
- Q: Is the book widely recognized in the field of mathematics? A: Yes, the book is recognized for its thorough examination of the axiom of choice. It is often recommended for those studying set theory and mathematical logic.