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Algebraic Topology: A First Course (Graduate Texts In Mathematics, 153),New
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To The Teacher. This Book Is Designed To Introduce A Student To Some Of The Important Ideas Of Algebraic Topology By Emphasizing The Re Lations Of These Ideas With Other Areas Of Mathematics. Rather Than Choosing One Point Of View Of Modem Topology (Homotopy Theory, Simplicial Complexes, Singular Theory, Axiomatic Homology, Differ Ential Topology, Etc.), We Concentrate Our Attention On Concrete Prob Lems In Low Dimensions, Introducing Only As Much Algebraic Machin Ery As Necessary For The Problems We Meet. This Makes It Possible To See A Wider Variety Of Important Features Of The Subject Than Is Usual In A Beginning Text. The Book Is Designed For Students Of Mathematics Or Science Who Are Not Aiming To Become Practicing Algebraic Topol Ogistswithout, We Hope, Discouraging Budding Topologists. We Also Feel That This Approach Is In Better Harmony With The Historical Devel Opment Of The Subject. What Would We Like A Student To Know After A First Course In To Pology (Assuming We Reject The Answer: Half Of What One Would Like The Student To Know After A Second Course In Topology)? Our Answers To This Have Guided The Choice Of Material, Which Includes: Under Standing The Relation Between Homology And Integration, First On Plane Domains, Later On Riemann Surfaces And In Higher Dimensions; Wind Ing Numbers And Degrees Of Mappings, Fixedpoint Theorems; Appli Cations Such As The Jordan Curve Theorem, Invariance Of Domain; In Dices Of Vector Fields And Euler Characteristics; Fundamental Groups
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- Q: What is the size of the book? A: The book measures six point one inches by one point zero two inches by nine point two five inches. This size is convenient for reading and portability.
- Q: How many pages does this book have? A: This book contains four hundred forty-eight pages. It offers a thorough exploration of algebraic topology concepts.
- Q: What type of binding does this book have? A: The book is available in paperback binding. This makes it lightweight and easy to handle.
- Q: Who is the author of this book? A: The author of this book is William Fulton. He is well-respected in the field of mathematics.
- Q: What is the primary focus of this book? A: This book focuses on introducing algebraic topology through concrete problems. It connects these ideas with other mathematical areas.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners in mathematics or science. It is designed for students not aiming to specialize in algebraic topology.
- Q: What concepts are covered in the book? A: The book covers concepts like homology, integration, winding numbers, fixed-point theorems, and applications such as the Jordan curve theorem.
- Q: Is this book appropriate for advanced students? A: Yes, advanced students can also benefit from this book. It provides a solid foundation before moving on to more complex topics.
- Q: How should I approach reading this book? A: It's best to read this book sequentially, focusing on the problems presented. This will enhance understanding of algebraic topology.
- Q: Are there any prerequisites for reading this book? A: Some familiarity with basic algebra and topology concepts is recommended. This will help in grasping the material more effectively.
- Q: What is the best way to care for this book? A: To care for the book, keep it in a dry environment and avoid bending the pages. This will help preserve its condition.
- Q: Can I store this book on a bookshelf? A: Yes, storing this book on a bookshelf is suitable. Ensure it is placed vertically to prevent damage.
- Q: What if the book arrives damaged? A: If the book arrives damaged, contact the seller for a return or replacement. Most sellers have policies in place for such issues.
- Q: Is there a warranty for this book? A: Typically, books do not come with a warranty. Check the seller’s return policy for more information.
- Q: What do I do if I have issues with the content? A: If you have issues with the content, consider discussing it with a teacher or joining a study group. This can enhance your understanding.
- Q: Are there any supplementary materials available? A: Supplementary materials may be available through academic resources. Check with your educational institution for recommendations.