Introduction to Analysis

The book arrived in a timely manner. I was pleased with the appearance and wear of the book. The description was right on, and I got what I expected. Thank you

[A review of the 3rd EDITION.] I would compare Wade's book with Jerrold Marsden's "Elementary Classical Analysis". Both cover roughly the same material. Essentially directed at maths majors, and possibly majors in theoretical physics. The level of rigour in the proofs that Wade gives is really unlikely to be needed in other fields. Wade's text does start right at the beginning of calculus, unlike Marsden. Also, Marsden's book is sometimes a little terse. Wade can give more explanatory details, which may help some readers. Wade also furnishes many exercises, with answers to a few. The exercises do a good job of expanding on the chapters' ideas. Which of course has the corollary that you'd benefit by doing as many as you can.

I used this book for my first analysis course. Over all, I think it does a nice job, but it could use a little tweeking. Let's start with the good... First off, Wade understands the difficult time most students have with the transition from the early calculus courses to the higher, more abstract classes. Several proofs in this text are a little more drawn out than in others, and this is to aid the in the understaning of the art of proof writing (and it really is an art). Another think I liked is the variety of exercises. They range from relatively easy to rather difficult (I was unable to solve some...). Now for the bad... I really didn't like the layout of some of the material. Especially in chapter 1. He states a definition, and then it's results. Another definiton will be thrown in along with more results. Especially in chapter 1, it would be nice if all the definitions and axioms are put into one place, and the results to follow in a later section (Shilov does this, and I used his book a lot as well during the course). I find that referencing definitions that are organized in such a fashion much nicer. If you're a budding mathematician, and would like to get a better understanding of analysis, I'd feel confident about adding this one to your collection.

It has a lot of problems and concise anwsers and hints. It is a very good book to challeng your mind and push you to think more. I've read Apostol's, Rudin's and Courant John's Analysis textbook. Wade's is even easier and also clear.

I have taken a two-semester course of senior level Advanced (honors) Calculus with this as text. It is a great way to learn real analysis - covering rigorous single variable analysis(first 4 chapters) in one semester - immediately followed in the subsequent semester by multivariable theory (next 4-5 chapters). The author introduces Point Set Topology not before the 5th chapter, as a tool for multivariable analysis. The 10th chapter includes an introduction to calculus on manifolds.