Introduction to topology : pure and applied Cover Image

Introduction to topology : pure and applied / Colin Adams, Robert Franzosa.

Adams, Colin Conrad. (Author). Franzosa, Robert. (Added Author).

Summary:

Learn the basics of point-set topology with the understanding of its real-world application to a variety of other subjects including science, economics, engineering, and other areas of mathematics. This book introduces topology as an important and fascinating mathematics discipline to retain the readers interest in the subject. It is written in an accessible way for readers to understand the usefulness and importance of the application of topology to other fields. It introduces topology concepts combined with their real-world application to subjects such DNA, heart stimulation, population modeling, cosmology, and computer graphics, and covers topics including knot theory, degree theory, dynamical systems and chaos, graph theory, metric spaces, connectedness, and compactness.

Record details

ISBN: 9780131848696
ISBN: 0131848690
Physical Description: xvii, 489 p. : il. ; 24 cm.
Publisher: Upper Saddle River, NJ : Pearson Prentice Hall, c2008.

Content descriptions

Bibliography, etc. Note:

Incluye bibliografía e índice.

Formatted Contents Note:

0. Introduction --- 1. Topological Spaces --- 2. Interior, Closure, and Boundary --- 3. Creating New Topological Spaces --- 4. Continuous Functions and Homeomorphisms --- 5. Metric Spaces --- 6. Connectedness --- 7. Compactness --- 8. Dynamical Systems and Chaos --- 9. Homotopy and Degree Theory --- 10. Fixed Point Theorems and Applications --- 11. Embeddings --- 12. Knots --- 13. Graphs and Topology --- 14. Manifolds and Cosmology.