Summary and Info
This skinny little math book from the Springer Universitext series achieves excellence on many levels. First of all, anyone familiar with the old quip "A topologist is someone who cannot tell the difference between a coffee mug and a donut" will instantly smile when they see the cover. The exposition is downright beautiful, and the organization of the material could not be more perfect. The remarkable thing is that the examples not only demonstrate the concepts, but also play a large role in the development. The choice of fonts and notation is well thought-out and, although minor, contributes greatly to the excellence of the book. One of the best features of this book is its length. With less than 200 pages, one can reasonably set a goal to read it cover to cover. The well-chosen examples not only aid in understanding, but also serve to introduce the reader to concepts from other areas of mathematics. On that note, not only those seeking an introduction to topology, but also anyone new to advanced mathematics, and in addition seasoned mathematicians who are thinking about writing books themselves, will benefit greatly from reading this book.