Schaum's Outline of Advanced Calculus, Second Edition,   ISBN:9780071375672

Customer Rating: 

This book is definitely more challenging than the "Demystified" series of review books. It doesn't do a great job of reviewing some of the building blocks that you will need to really solve every problem. I had to go online to check up on some trig IDs for a couple of problems, and I should have been able to look those up in book, but they were nowhere to be found.

Customer Rating: 

This is a known product and continues to serve as the best tutoring guide for students with difficulties in advanced calculus.

Customer Rating: 

The proof of Leibniz theorem on p.194 is completely wrong.
The proof uses the mean-value theorem for derivatives, not integrals, and needs uniform continuity to complete.
There are numerous typos, including the preface.

Customer Rating: 

I have taken extensive coursework in undergraduate calculus, advanced calculus, and a 2-semester real analysis course with Rudin's 'principles.' This book was incredibly helpful to me, because it provides some examples of material that Rudin covers, and these examples helped me gain a better understanding of the material (there are 1370 solved problems!). There is nothing in this book about topology per se, but it does cover just about everything else: numbers, sequences, limits/continuity, derivatives, integrals, partial derivatives, vector geometry, multiple integrals, line integrals, infinite series/products, improper integrals, Fourier series & integrals, and gamma/beta functions. This book shines in the plethora of material covered, and because it focuses on solving difficult problems as opposed to routine ones. Another thing is that this book DOES include most of the answers to the supplementary problems - answers are only omitted, for example, when the question says to prove something (prove that the series converges, etc). My analysis professor *loved* improper integrals, so the chapter on that was especially helpful. This text also includes Dirichlet's test for series, which is left out of Rudin. There are a few minor typos that are easily spotted, but for $20 these mistakes can be overlooked. Overall a great reference with many helpful solved problems: A+

Customer Rating: 

Son came home one weekend and announced he was failing his college calculus course. We purchased this book for him and he is now getting A's......to be honest though.....don't know for sure if it's the book or our threaat to terminate his weekly allowance if he failed.....think it's probably both.......and son says the book has helped.