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Greatest math textbook I've read • • • • • (bewertet mit 5 von 5 Punkten) Rezension bezieht sich auf: Topology; A First Course (Gebundene Ausgabe) This has to be the best textbook I've ever had for a class. Munkres is very clear and *detailed* in his proofs. Sadly, many authors skimp the details or brush aside technical difficulties, leaving the reader to fend for themselves. Even in chapter 8, when he actually relaxes and does a few 'picture proofs', he fills in more of the gaps than other authors, like Massey, do when covering homotopy, fundamental group etc. His detailed proofs provide a good role model for when you're doing the exercises. But this detail does not obfuscate matters. Munkres remains understandable. On the harder proofs he usually breaks things up into several steps, which keeps things readable. His examples are interesting, and his exercises range from easy to extremely difficult; actually most of them are of medium difficulty/somewhat hard variety. I really feel that I'm getting a good understanding of topology in my topology class, mainly because of this book. The challenging exercises give me confidence that my feeling is based on some actual fact. All in all, a good experience. Hmmm...I guess I better finish reading the proof of the Jordan Curve Theorem. And get cracking on those homework problems. Eine Rezension von Ein Kunde vom 2. Dezember 1999 | ||||||||||||||||||||||
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