Introduction to Topology Pure and Applied

Name: Introduction to Topology Pure and Applied
Price: 41.93 USD
Availability: InStock
ISBN: 9780131848696

ISBN-10: 0131848690

ISBN-13: 9780131848696

Edition: 2008

Authors: Colin Adams, Robert Franzosa

List price: $233.32

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Description:

For juniors and seniors 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.

Book details

List price: $233.32
Copyright year: 2008
Publisher: Pearson Education
Publication date: 6/18/2007
Binding: Hardcover
Pages: 512
Size: 7.30" wide x 9.30" long x 1.30" tall
Weight: 2.442

Colin Adams is the Thomas T. Read Professor of Mathematics at Williams College. His books include "The Knot Book", "Riot at the Calc Exam and Other Mathematically Bent Stories", and "How to Ace Calculus: The Streetwise Guide". He is the humor columnist for the "Mathematical Intelligencer".




Introduction



What is Topology?



Example Applications



Euclidean Space



Operations on Sets



Functions



Relations



Topological Spaces



Open Sets and the Definition of a Topology



Basis for a Topology



RNA Phenotype Spaces



Closed Sets



Interior, Closure, and Boundary



Interior and Closure of Sets



Limit Points



The Boundary of a Set



An Application to Geographic Information Systems



Creating New Topological Spaces



The Subspace Topology



The Product Topology



Configuration Spaces for Physical Systems



The Quotient Topology



Continuous Functions and Homeomorphisms



Continuity



Homeomorphisms



The Forward Kinematics Map in Robotics



Metric Spaces



Metrics



Metrics and Information



Properties of Metric Spaces



Connectedness



A First Approach to Connectedness



Distinguishing Topological Spaces Via Connectedness



The Intermediate Value Theorem



Path Connectedness



Automated Guided Vehicles



Compactness



Open Coverings and Compact Spaces



Compactness in Euclidean Space



Compactness and Calculus



Limit Point Compactness



The One-Point Compactification



Dynamical Systems and Chaos



Degree Theory



Fixed Points



Knot Theory



Manifolds



Embeddings



Graph Theory