I have had the pleasure of being instructed by Rahman using his book set during my engineering degree. This was a fantastic course. Rahman is an interesting teacher and he is one of the best math teachers I've had.

The information is presented in a readable form (Yea, right!) given the complexity of the material. Theory is presented which is followed by proof, then example. What more could a math book provide?

This is a dificult subject. To quote quote Rahman "You will see smokes" and "It is hard to see you see.". If you were having difficulty with a problem, he would do it in chaulk on your desk!

I have never been so frustrated by a textbook as I have been by this one. It fleshes out the most basic outlines of the topic, then gives a handful of examples (which tend to be unhelpful and riddled with errors) before moving on to the next topic. The number of typographical errors is astounding and makes getting through the examples an exercise in futility. The exercises are mind-numbing in their computational complexity without really challenging the student's understanding of the material. If you're in a class where use of Mathematica is discourage (like I was), beware!

This book is small, expensive and relatively bad. While there are plenty of errors to be annoyed by (everything from incorrect solutions to syntax errors in the mathematics), my main qualm with the book comes from the poorly motivated text. While the underlying structure is suitable, the overall exposition is crap. The text reads like lecture notes, and I don't think it is quite up to the standard of a textbook. The exercises also need some work; there should be more exercises that are more interesting. As a mathematics major I am not all too impressed with it, but a student of an applied science may like it more. Although in this form I don't think it is suitable for any audience.

If you want to learn Vector Calculus, I would suggest the multivariable/vector analysis sections of Stewart's Calculus text. That is where I learned the material. Vector Calculus by Marsden also seems promising, but I have not read it all yet.