Introduction to Topology
This book introduces topology as an important and fascinating mathematics discipline. Students learn first the basics of pointset topology, which is enhanced by the realworld application of these concepts to science, economics, and engineering as well as other areas of mathematics. The second half of the book focuses on topics like knots, robotics, and graphs. The text is written in an accessible way for a range of undergraduates to understand the usefulness and importance of the application of topology to other fields.
Table of Content
 Introduction
 Topological Spaces
 Interior, Closure, and Boundary
 Creating New Topological Spaces
 Continuous Functions and Homeomorphisms
 Metric Spaces
 Connectedness
 Compactness
 Dynamical Systems and Chaos
 Homotopy and Degree Theory
 Fixed Point Theorems and Applications
 Embeddings
 Knots
 Graphs and Topology
 Manifolds and Cosmology

Salient Features
 Theoretical and applied approach the authors focus on the basic concepts of
 Intuitive and accessibly written text
 Rigorous presentation of the mathematics with intuitive descriptions and discussions to increase student understand.
 Examples of real world application keep students engrossed in the material
 Numerous figures allow students to visualize and understand the material presented




