From Geometry to Topology (Dover Books on Mathematics)
| Author | : | |
| Rating | : | 4.65 (517 Votes) |
| Asin | : | 0486419614 |
| Format Type | : | paperback |
| Number of Pages | : | 208 Pages |
| Publish Date | : | 2016-11-30 |
| Language | : | English |
DESCRIPTION:
1974 edition.. The first three chapters focus on congruence classes defined by transformations in real Euclidean space. Chapters 4–12 give a largely intuitive presentation of selected topics. 101 black-and-white illustrations. Exercises and Problems. As the number of permitted transformations increases, these classes become larger, and their common topological properties become intuitively clear. In the remaining five chapters, the author moves to a more conventional presentation of continuity, sets, functions, metric spaces, and topological spaces. 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
Very nice and intuitive introducation to topology I bought this book shortly after my introductory analysis professor had once mentioned what is topology. That was the first topology book I had read, and I fell in love with the subject ever since. It's easy to understand,and very enlightening as well.The book walks you through the transition from geometry to topology, then eleborates on several basic topological concepts.Very interesting stuff !. Perfect book for the right reader 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. . GeoDom said It is an amazing book that every beginner who is interested in Topology. 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.