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slider142's review
5.0
This book is an unequalled treasure of 3-dimensional topology. It contains both physical model challenges to engage the abstraction of topology with the physical world and extremely insightful abstract discussions and exercises for the reader. This is not something that you can read from beginning to ending; rather you can pick it up and read any chapter and come away brimming with ideas and investigations. Excellent text written by an accomplished expert in the field (a well-deserved Field's Medal and another AMS award for this book alone!). This means you will be getting the raw new theorems and constructions (they comprise a large enough region of modern math to be known as "Thurston-type geometry") communicated directly from the original creator who sweated over and divined them for the first time.
While reading this text, you get the feeling that you are in the presence of someone who is not only completely immersed in his topic and its context in the larger picture, but that he enjoys illuminating all of it for you.
For undergraduates, be sure you are well-versed in basic topology before engaging this text for the best learning experience.
While reading this text, you get the feeling that you are in the presence of someone who is not only completely immersed in his topic and its context in the larger picture, but that he enjoys illuminating all of it for you.
For undergraduates, be sure you are well-versed in basic topology before engaging this text for the best learning experience.
jamie_toomai's review
Thurston is a genius and a good writer. Highly recommended, though I never made it past the first couple chapters. I hope to pick it up again someday.