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Rating: 
Summary: The perfect book
Review: Although my regular textbook is excellent(Larson, Calculus,7th edtion), but there are just ideas and theories which are not explained or expanded. I love Kaplan's Advanced Calculus for the following reasons:
1. It is very logical, everything goes step by step. If there is anything you have not learned or have forgotten, he refers you to specific earlier sections. And if there is something he does not explain, he refers you to other resourses.
2. The book is lean and super clean. Although I do appreciate our regular textbooks's wordiness which is great for a beginner like me, I also love reading this book which goes straight to the core.
3. While some books look lean but are actually dry and really hard to chew, this book is easy to follow. And it really gives you a feeling that you are learning math, you are not just learning some techniques.
4. Even though there are a couple of out of date notations like a reviewer has pointed out, like he writes "ln" as "log", but it really does not interfere reading and understanding.
In short, the book is a gem, every page is worth its paper.
Rating:
Summary: I adore the author
Review: Any student who is taking analysis/advanced calculus course should read chapter 2 of this book, especially if he is confused or is struggling on the excellent but relatively abstract/concise texts of Rudin, Apostal, Bartle, Marsden et al. I've never seen a book which can explain the concept of Jacobian and Inplicit function theory in such a clear way!!
Rating:
Summary: An excellent text for reference
Review: I have been using the book since its 2nd edition. I now own
the 4th edition. It will always serve as an excellent revision
and reference because most topics in advanced calculus are
covered. The book is straight-forward, one can easily follow
what the author is explaining the advanced concepts, beginning
from fundamentals and carry on to the complicated parts. It
provides answers to all numerical exercises.
Rating:
Summary: Excellent Treatment of Advaced Calculus
Review: If you don't mind the out-of-date notation, this book is a Solid book as a reference. It really isn't user-friendly, though. I got crossed eyes a number of times while reading it! But coupled with a skillful instructor, this book is truely a joyful learning experience.
Rating: 
Summary: Not as advanced as it claims
Review: It is good and clear book. Excellent for undergrad students who want to dig into calculus a bit deeper. But it is too easy for an advanced undergrad or a grad student in any technical field. I recommend the books published by Springer.
Rating:
Summary: More Than I Could Have Expected
Review: This book is simply the best that I have found for math texts. Kaplan does not expect much from the reader; he explains basically everything besides Calculus I material. Kaplan's writing is lively and is (relatively) easy to read. He gets to the point and keeps everything easy to follow. I am still in awe about how much material (look below) he was able to fit into this relatively small book and still keep it so clear. The examples are clear and concise. The problems in the book compliment the understanding of the material; they start out easy and guide the reader to do more difficult problems. This book is MORE THAN SUFFICIENT FOR SELF-STUDY.Contents: Linear Algebra, Partial Derivatives, Vector Calculus, Multiple Integrals, Sequences and Series, Fourier Series, Complex Variables, and Ordinary/Partial Differential Equations. This is a conservative list. The price may appear steep, but the content and clarity of this book more than make up for it.
Rating:
Summary: good books never have thousand pages
Review: This book talks about multivariable calculus that is not included in high school curriculum. The book is concise but covers all the thing I want to know. It is not bulky book that makes you look good; it will lead you to be good at calculus. Of course please master your skill in single variable calculus before trying this one.
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