Beginning topology
 Author/Creator
 Goodman, Sue E.
 Language
 English.
 Imprint
 Providence, R.I. : American Mathematical Society, [2009?]
 Physical description
 xiii, 236 p. : ill. ; 24 cm.
 Series

Pure and applied undergraduate texts ; 10.
Sally series (Providence, R.I.)
Access
Available online

Stacks

Unknown
QA611 .G585 2009

Unknown
QA611 .G585 2009
More options
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 230233) and index.
 Publisher's Summary
 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.
(source: Nielsen Book Data)  Supplemental links
 Table of contents only
Subjects
 Subject
 Topology > Textbooks.
Bibliographic information
 Reprint/reissue date
 2009
 Original date
 2005
 Responsibility
 Sue E. Goodman.
 Series
 Pure and applied undergraduate texts ; 10
 The Sally series
 Note
 Originally published: Pacific Grove, CA : Thomson Brooks/Cole, c2005.
 ISBN
 9780821847961
 0821847961