Introduction to Topology: Pure and Applied, Colin Adams, Robert Franzosa
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About this book :-
Introduction to Topology: Pure and Applied written by
Colin Adams, Robert Franzosa
A reader of this book will learn the basics of point-set topology and will be introduced to follow-up topics such as knots, manifolds, dynamical systems, fixed points, and topological graphs. Furthermore, the reader will learn how results from topology are used in applications that range from the atomic scale in chemistry to the astronomic scale in cosmology.
(Colin Conrad Adams, Robert Franzosa)
Book Detail :-
Title: Introduction to Topology: Pure and Applied
Edition:
Author(s): Colin Conrad Adams, Robert Franzosa
Publisher: Prentic Hall
Series:
Year: 2007
Pages: 508
Type: PDF
Language: English
ISBN: 0131848690, 9780131848696
Country: US
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About Author :-
Author Colin Conrad Adams is the Thomas T. Read professor of Mathematics at Williams College, where he has taught since 1985. Colin received his undergraduate degree from MIT and his PhD from the University of Wisconsin. His research is in the area of knot theory and low-dimensional topology. He has held various grants to support his research, and written numerous research articles.
Colin is the author or co-author of The Knot Book, HowtoAce Calculus: The Streetwise Guide, How to Ace the Rest of Calculus: The Streetwise Guide, Riot at the Calc Exam and Other Mathematically Bent Stories, Why Knot?, Introduction to Topology: Pure and Applied, and Zombies & Calculus. He co-wrote and appears in the videos “The Great Pi vs. E Debate” and “Derivative vs. Integral: the Final Smackdown.”
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• Calculus Early transcendentals 4E, Solution, Colin Adams, Jon Rogawski
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Book Contents :-
Introduction to Topology: Pure and Applied written by
Colin Adams, Robert Franzosa
cover the following topics.
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 441
Additional Readings
References
Index
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