Advanced Calculus

I study this book entirely in a calculus review. The points are: 1- The exposition is clear and didatic even in points difficults and delicates 2- The sections are short and with exercises in growing level of dificulty with much adequates hints 3- It's necessary to resolve all (or half all) exercises because there are many new stuff there 4- There are responses to all exercises with is good for self study (like mine) 5- There are very litlle typos 6- My only question is that the book would have more exercises (I supply this doing exercises of other books like M.Boas) So I recommend this book based in my (good) experience

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!!

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.

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.

This is *the* book for learning advanced calculus. It covers calculus of several variables, vector calculus, infinite series, fourier series, functions of complex variables, conformal mapping, PDEs, and applications. The book is highly readable for those with a background in calculus/linear algebra (even though there is a preface section on linear) and I believe it would be fine for self-study. If/when questions do pop up, there's always #math on IRC EFNet!