A Geometric Introduction to Topology (Dover Books on Mathematics)
|Rating||:||4.43 (729 Votes)|
|Number of Pages||:||192 Pages|
Good introduction for undergraduates This book is a brief introduction to algebraic topology and is written by one of the major contributors to the subject. Written for undergraduates, it does not presuppose any background in topology, and the author concentrates strictly on subsets of Euclidean space. And, interestingly, the author does not introduce homology and cohomology using simplicial complexes, but instead uses the Cech theory and singular homology. Also,. "Not very good as an intro or reference" according to A Customer. This book tries, but stumbles and ultimately fails, to provide an intuitive and solid intro to topology. A lack of coherence, motivation, and example makes this book a must-not-have. I would instead recommend Fulton's "Algebraic Topology" for a very coherent intro to topics such as homology and cohomology, or Munkres' "Topology: A First Course" to learn about general topology.. a poor book and not an introduction Ken Braithwaite This book is based on an intersting idea -- a direct path to the duality theorem. But it has so many flaws. Definitions are often loose, there are no significant examples, proofs are often unclear. Some proofs used symbols never explicitly defined.There is also a complete lack of motivation.The worst Dover math book I have seen.
1972 edition.. It is unique in not presupposing a course in general topology and in avoiding the use of simplexes. Intended to provide a first course in algebraic topology to advanced undergraduates, this book introduces homotopy theory, the duality theorem and the relation of topological ideas to other branches of pure mathematics. Indexes of terms and notations. Exercises and problems at the end of each chapter