Title
Elements of PointSet Topology (Dover Books on Mathematics),Used
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Topology continues to be a topic of prime importance in contemporary mathematics, but until the publication of this book there were few if any introductions to topology for undergraduates. This book remedied that need by offering a carefully thoughtout, graduated approach to point set topology at the undergraduate level.To make the book as accessible as possible, the author approaches topology from a geometric and axiomatic standpoint; geometric, because most students come to the subject with a good deal of geometry behind them, enabling them to use their geometric intuition; axiomatic, because it parallels the student's experience with modern algebra, and keeps the book in harmony with current trends in mathematics.After a discussion of such preliminary topics as the algebra of sets, EulerVenn diagrams and infinite sets, the author takes up basic definitions and theorems regarding topological spaces (Chapter 1). The second chapter deals with continuous functions (mappings) and homeomorphisms, followed by two chapters on special types of topological spaces (varieties of compactness and varieties of connectedness). Chapter 5 covers metric spaces.Since basic point set topology serves as a foundation not only for functional analysis but also for more advanced work in point set topology and algebraic topology, the author has included topics aimed at students with interests other than analysis. Moreover, Dr. Baum has supplied quite detailed proofs in the beginning to help students approaching this type of axiomatic mathematics for the first time. Similarly, in the first part of the book problems are elementary, but they become progressively more difficult toward the end of the book. References have been supplied to suggest further reading to the interested student.
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- Q: What is the page count of 'Elements of Point-Set Topology'? A: This book has one hundred seventy-six pages. It covers essential topics in point set topology for undergraduate students.
- Q: What is the binding type of this book? A: The binding type is paperback. This makes it lightweight and easy to carry.
- Q: What are the dimensions of this book? A: The dimensions of the book are five point five one inches in length, zero point five one inches in width, and eight point five inches in height.
- Q: Who is the author of 'Elements of Point-Set Topology'? A: The author is John D. Baum. He provides a clear introduction to topology tailored for undergraduates.
- Q: What topics does this book cover? A: It covers foundational concepts like topological spaces, continuous functions, and metric spaces. The book is structured to build knowledge progressively.
- Q: How is this book structured for learning? A: The book starts with basic definitions and gradually moves to more complex topics. It also includes detailed proofs and progressively challenging problems.
- Q: Is this book suitable for beginners in topology? A: Yes, it is suitable for beginners. The author presents concepts in a graduated approach, making it accessible for undergraduate students.
- Q: What reading level is this book intended for? A: This book is intended for undergraduate students. It serves as an introduction to point set topology.
- Q: How can I use this book for studying? A: You can use it as a textbook for an undergraduate course in topology. It includes problems that increase in difficulty for practice.
- Q: What is the recommended audience for this book? A: The recommended audience includes undergraduate students and anyone interested in foundational topology. It's also beneficial for those pursuing advanced studies.
- Q: How should I store this book to keep it in good condition? A: Store the book in a dry place, away from direct sunlight. This will help preserve its quality and prevent damage.
- Q: Are there any special care instructions for this book? A: No special care instructions are needed. Just handle it carefully to avoid bending or tearing the pages.
- Q: What should I do if I receive a damaged book? A: Contact the seller for a return or exchange. Most sellers have policies in place for damaged items.
- Q: Is there a warranty for this book? A: No, books typically do not come with a warranty. However, check with the retailer for their return policy.
- Q: How can I find additional resources related to this book? A: You can check the references provided in the book for further reading. Libraries and online databases often have related materials.
- Q: Is this book appropriate for self-study? A: Yes, it is appropriate for self-study. The author provides detailed explanations and progressively challenging exercises for independent learners.