
Preface  Table of Contents  Supplementary Material 
 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. Request an examination or desk copy. Readership Undergraduate students interested in topology. Reviews "This text is an interesting introduction to some of the various aspects of topology . . . [A] very attractive way to learn more and discover new things in topology."  Corina Mohorianu, Zentralblatt MATH 


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