Title
Algebraic Topology: An Intuitive Approach (Translations Of Mathematical Monographs, Vol. 183)
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The Single Most Difficult Thing One Faces When One Begins To Learn A New Branch Of Mathematics Is To Get A Feel For The Mathematical Sense Of The Subject. The Purpose Of This Book Is To Help The Aspiring Reader Acquire This Essential Common Sense About Algebraic Topology In A Short Period Of Time. To This End, Sato Leads The Reader Through Simple But Meaningful Examples In Concrete Terms. Moreover, Results Are Not Discussed In Their Greatest Possible Generality, But In Terms Of The Simplest And Most Essential Cases. In Response To Suggestions From Readers Of The Original Edition Of This Book, Sato Has Added An Appendix Of Useful Definitions And Results On Sets, General Topology, Groups And Such. He Has Also Provided References.Topics Covered Include Fundamental Notions Such As Homeomorphisms, Homotopy Equivalence, Fundamental Groups And Higher Homotopy Groups, Homology And Cohomology, Fiber Bundles, Spectral Sequences And Characteristic Classes. Objects And Examples Considered In The Text Include The Torus, The Mobius Strip, The Klein Bottle, Closed Surfaces, Cell Complexes And Vector Bundles.
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- Q: How many pages does this book have? A: This book has one hundred eighteen pages. It offers a concise exploration of algebraic topology concepts.
- Q: What type of binding does this book have? A: This book is available in paperback binding. This makes it lightweight and easy to handle for reading.
- Q: What are the dimensions of this book? A: The dimensions of this book are six inches in length, zero point five one inches in width, and eight point seven five inches in height. These dimensions make it portable for study.
- Q: Who is the author of this book? A: The author of this book is Hajime Sato. He provides an intuitive approach to the complex subject of algebraic topology.
- Q: What topics are covered in this book? A: This book covers fundamental notions such as homeomorphisms, homotopy equivalence, and fiber bundles. It aims to simplify complex algebraic topology concepts.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners. It provides intuitive explanations and simple examples to help new learners grasp algebraic topology.
- Q: Can I use this book for self-study? A: Yes, this book is ideal for self-study. The clear explanations and examples make it easy to learn at your own pace.
- Q: What age group is this book intended for? A: This book is primarily intended for college students and adults. It focuses on advanced mathematical concepts that require prior knowledge.
- Q: How should I care for this book? A: To care for this book, keep it in a dry place and avoid exposure to direct sunlight. This helps preserve its quality and readability.
- Q: Is this book safe for all readers? A: Yes, this book is safe for all readers. It does not contain any adult content and is focused on educational material.
- Q: What if my book arrives damaged? A: If your book arrives damaged, contact customer support for assistance. Most sellers offer a return policy that covers damaged items.
- Q: Does this book include references or additional resources? A: Yes, this book includes references and an appendix of useful definitions. This enhances the learning experience by providing additional context.
- Q: Are there any exercises or problems to solve in this book? A: No, this book does not include exercises. It focuses on providing conceptual understanding rather than practice problems.
- Q: How does this book compare to other algebraic topology books? A: This book is unique for its intuitive approach and focus on essential cases. It simplifies complex ideas, unlike many other texts.
- Q: What if I have questions while reading this book? A: If you have questions while reading, consider joining online forums or study groups. Engaging with others can enhance your understanding.
- Q: Can I find this book in libraries? A: Yes, this book is often available in university libraries. Check your local library's catalog for availability.