5つ星のうち5.0This book is excellent in its presentation of the subject
2015年3月4日にインドでレビュー済み
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An algebraist writing a book on Algebraic Topology, which is kind of mixture of Topology and Algebra. This book is excellent in its presentation of the subject, has a clarity of exposition expected from an author who is a well-known algebraist. Greatly enjoyable.
very friendly introduction in algebraic topology suitable for self-study. A lot of details are given. The exercises are simple applications of the theory developed in the text.
This is great as a first algebraic topology book. He writes very clearly and provides ample details for those unfamiliar with abstract nonsense. Those already familiar with diagram chasing will probably want to skip the thoroughly explained diagram chases. My only complaint is that the exercises are too easy. Most of them are definition pushing and routine verifications. I do think that such exercises are necessary to become familiar with the basic definitions and notions. However, it is only after slaving over some challenging problems for a few hours that the student is able to fully assimilate the material. That being said, this book would be ideal to accompany a course.
I'm using the book mostly for self-study and have found it very useful. I also have Hatcher's book, which has fantastic examples and pictures, but I prefer Rotman's style for definitions and results. Rotman takes the time to carefully develop the notions of category theory so that definitions and results can be couched in this language.