Free PDF From Geometry to Topology (Dover Books on Mathematics), by H. Graham Flegg
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From Geometry to Topology (Dover Books on Mathematics), by H. Graham Flegg
Free PDF From Geometry to Topology (Dover Books on Mathematics), by H. Graham Flegg
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This excellent introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology. The first three chapters focus on congruence classes defined by transformations in real Euclidean space. As the number of permitted transformations increases, these classes become larger, and their common topological properties become intuitively clear. Chapters 4–12 give a largely intuitive presentation of selected topics. In the remaining five chapters, the author moves to a more conventional presentation of continuity, sets, functions, metric spaces, and topological spaces. Exercises and Problems. 101 black-and-white illustrations. 1974 edition.
- Sales Rank: #875249 in Books
- Published on: 2001-09-04
- Released on: 2001-09-04
- Original language: English
- Number of items: 1
- Dimensions: 8.50" h x .44" w x 5.51" l, .49 pounds
- Binding: Paperback
- 208 pages
Most helpful customer reviews
5 of 5 people found the following review helpful.
It is an amazing book that every beginner who is interested in Topology ...
By GeoDom
It is an amazing book that every beginner who is interested in Topology should read!
Actually, it is the one of the two books that he must read, before starting a "university" book with the tremendous amount of definitons, theorems and formulae. The other book is Dr. Arnold's Intuitive Concepts in Elementary Topology.
5 of 6 people found the following review helpful.
Good overview text
By Hazard
As the author states, this is not a text, it's background information for those wanting to know what topologists find interesting, since the intro courses focusing on abstract principles can never get to the interesting stuff (i.e. what is interesting to most people). This book does not provide the logical foundations for a thorough understanding of topology, but it DOES provide ample fodder for thought and for seeing what issues are ultimately addressed by a study of the subject.
15 of 17 people found the following review helpful.
Perfect book for the right reader
By David
This book is neither a textbook nor a rigorous buildup of topology from geometry. It's a simple and conceptual bridge from congruence classes in geometry, and basic ideas from map theory, into topology.
For anyone wanting to get a grasp of the subject, I would recommend this book as a primer to any more conventional treatment of topology. In many texts, you are given general theorems in terms of sets, with little intuitive motivation. From Geometry to Topology provides the necessary background. And it's fun to read.
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