Introduction to Topology: Pure and Applied

Description

For juniors, seniors, and graduate students of various majors, taking a first course in topology.This book introduces topology as an important and fascinating mathematics discipline. Students learn first the basics of point-set topology, which is enhanced by the real-world 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.FeaturesTheoretical and applied approach- the authors focus on the basic concepts of topology and their utility using real-world applications--Applications cover a wide variety of disciplines, including molecular biology, digital image processing, robotics, population dynamics, medicine, economics, synthetic chemistry, electronic circuit design, and cosmology.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 materialNumerous figures allow students to visualize and understand the material presentedFor more information about the text, the authors, and for errata, please visit:http://germain.its.maine.edu/~franzosa/ITPA.htm