Am höchsten bewertete positive Rezension
2 Personen fanden diese Informationen hilfreich
Good if you already know the stuff
am 28. Januar 2000
I read with interest as one reviewer stridently urged students with no mathematical background to use Rudin as their introduction to higher mathematics. And I felt I must write something to stop some poor soul from being tortured by this book.
First, let me say right off that I like this book. I've seen better math textbooks though, so it doesn't get the five stars. The reason I like it is its utility as a reference. I can look up something to refresh my memory very easily. The style is concise, clearly outlined. Rudin also has some interesting proofs. I sometimes find myself looking up something pretty standard, and being enlightened at seeing familiar material in a new light.
But, and this is a big 'but', I wouldn't recommend this to a beginner. Mathematical 'maturity' is a funny thing. Some people have it; others don't. But most that do have it, get it by a long, arduous process of studying. Few are ready to immediately jump in and study the advanced textbooks. With this thought in mind, I think if you're reading this, wondering if this book is going to help you survive your first real math class, then Rudin will probably be tough. Not because it presumes some sort of secret knowledge. It doesn't. Just like any other intro analysis book, it doesn't assume you know analysis. But there are easier books. Like probably whatever your prof assigned for the class. 'Course, your prof could suck, and correspondingly, the book could suck. But if the faculty at your school is that inept, you're better off transferring.
Actually, I read with some surprise that some reviewers mentioned that the books they used had lots of useless pictures, etc. I don't recall ever reading an analysis book that had lots of pictures, period. So I guess I was lucky. But if your book is of that kind, then I guess I could recommend The Way of Analysis by Robert Strichartz. That's the book I first learned from. And it's the one used for the honors intro real analysis sequence(2 semesters) at my university here in Ithaca. The last half of the book is on applications of analysis to ODE's, Fourier series, Lebesgue integration. The style is very conversational, so it's definitely not a great reference book. I should add that the discussions are usually on motivating a definition, etc, rather than explaining something trivial, like a lot of similar books. Oh, and it has some pictures, but not many.