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Beginning Topology (Pure and Applied Undergraduate Texts, 10),Used
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Beginning Topology is designed to give undergraduate students a broad notion of the scope of topology in areas of pointset, geometric, combinatorial, differential, and algebraic topology, including an introduction to knot theory. A primary goal is to expose students to some recent research and to get them actively involved in learning. Exercises and openended projects are placed throughout the text, making it adaptable to seminarstyle classes. The book starts with a chapter introducing the basic concepts of pointset topology, with examples chosen to captivate students' imaginations while illustrating the need for rigor. Most of the material in this and the next two chapters is essential for the remainder of the book. One can then choose from chapters on map coloring, vector fields on surfaces, the fundamental group, and knot theory. A solid foundation in calculus is necessary, with some differential equations and basic group theory helpful in a couple of chapters. Topics are chosen to appeal to a wide variety of students: primarily upperlevel math majors, but also a few freshmen and sophomores as well as graduate students from physics, economics, and computer science. All students will benefit from seeing the interaction of topology with other fields of mathematics and science; some will be motivated to continue with a more indepth, rigorous study of topology.
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- Q: What topics are covered in Beginning Topology? A: Beginning Topology covers a wide range of topics including point-set topology, geometric topology, combinatorial topology, differential topology, algebraic topology, and an introduction to knot theory.
- Q: Who is the target audience for this book? A: The book is primarily designed for undergraduate students, particularly upper-level math majors, but is also suitable for freshmen, sophomores, and graduate students from fields like physics, economics, and computer science.
- Q: Is a prior background in mathematics required to understand this book? A: Yes, a solid foundation in calculus is necessary, and some knowledge of differential equations and basic group theory will be helpful for certain chapters.
- Q: What is the format of the exercises included in the book? A: The book includes a variety of exercises and open-ended projects throughout the text, making it adaptable for seminar-style classes and encouraging active student involvement.
- Q: What type of binding does this book have? A: Beginning Topology is available in hardcover binding, which is designed for durability.
- Q: How many pages does Beginning Topology have? A: The book consists of 236 pages.
- Q: When was Beginning Topology published? A: Beginning Topology was published on February 19, 2009.
- Q: Who is the author of Beginning Topology? A: The book is authored by Sue E. Goodman.
- Q: What condition is the book in? A: The book is in new condition.
- Q: Can this book be used for self-study? A: Yes, the book is structured to provide a comprehensive introduction to topology and is suitable for self-study, especially with its exercises and projects.