Schaum's Outline of Advanced Calculus, Second Edition

Confusing Textbooks? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you

• Practice problems with full explanations that reinforce knowledge
• Coverage of the most up-to-date developments in your course field
• In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

Schaum's Outlines-Problem Solved.

These books are certainly not intended for courses as they cannot go into extreme depth. However, if they are assigned, the student is assumed to have enough sense to venture elsewhere (the library maybe) and find supplemental books for learning in depth stuff. Thats all part of learning.

This book (now in an updated version with some really weird title which makes it worth buying alone! ) is quite excellent. Don't go and get it expecting to learn a course from. But it is good for a) a supplement for a course. b) a supplement for another course... it has lots of solved problems which oftentimes help in other courses and c) to refresh yourself on things you may have forgotten.

I'd also recommend you get Spiegel's Mathematical Handbook. It is absolutely indespensible. It is just a fantastic thing that everyone should have. When you are born, they should cut your umbilical cord and hand you a copy of Spiegel's Mathematical Handbook and you will have no problems ever in life. Get both. Get a whole lot of Schaums because they are so damn cheap and useful.


Ideal (solved examples) companion to your calculus textbook   May 13, 2006
Flavio Cipparrone (Sao Paulo, Brasil)
9 out of 10 found this review helpful

If you are studying calculus, the books from Schaum will certainly help you to develop your problem solving ability.

This is NOT a real analysis textbook inspired on Bourbaki topology. So that some readers do not consider the material really advanced. I think they were expecting 18 ways to express the Axiom of Choice (Zorn Lemma for example) Godel conjecture, Fixed point theorems, path and non-path conected sets, differential forms, more terminology (homeomorphism, diffeomorphism, manifolds) etc...

The book has an approach similar to Piskunov or G.B. Thomas Junior books, that is, more elementary approaches (but note that elementary does not mean easy). Many solved problems.

Look at table of contents inside the book at amazon to grasp an idea of what you will get.

Overall, very good companion, practical and with many examples.


great!!   April 12, 2004
Fourier Jr (Victoria, Canada)
8 out of 9 found this review helpful

This book has great sentimental value for me! I love this book!!! It's got everything you need to get through multivariable calculus course and/or vector calculus & Fourier Series. It doesn't really go into any analysis stuff though; it's all concrete, so you can look at this to get the 'rough & ready' versions of theorems/proofs & then find the more rigorous & abstract versions somewhere else, or later on in your studies. It's also a good reference since it covers a lot more than what you might do in a course, & could be helpful for more than one course. It has so many solved problems & theorems that might not be done elsewhere. Get this if you're in maybe 2nd-year math & are going to carry on in math, science or engineering.


Helpful for those who need to bridge the knowledge gaps   June 20, 2005
mxpayn65 (Virginia Beach, VA)
3 out of 4 found this review helpful

If you're trying to understand a lot of the abstracts in calculus that you might have missed in high school or are tired of college professors simply skipping past material because they assume you've already come across it even when it might not have been the case, then never fear. This book can help refresh your skills in areas that you may have forgotten or might have received little if any attention. Plus, chapter after chapter, even the most difficult concepts are made easier to understand in layman's terms. So the next time you get frustrated that not even your instructor can help, get this book, catch up, and never get left out in the cold again !


Very Useful   May 20, 2005
jb333333 (Australia)
4 out of 5 found this review helpful

Whilst as some reviewers have pointed out, the proofs offered are not always the most fundamental and rigorous available, this aspect of the text makes it surprisingly digestible. As an example, the last chapter (on complex variables) seems almost an afterthought. However the text in combination with the solved problems will have the reader performing integration using residues etc in no time. This area of calculus has many weighty tomes devoted to it, offering full and rigorous proofs of each theorem, but to gain a similar working facility to that described above one needs to trawl through almost an entire book, a much more time-consuming exercise. The book works similarly for many other areas of calculus. This I found very rewarding, as I was able to go from clueless to reasonably proficient at problem solving in a short time, which encouraged me to keep learning. The more advanced treatments are also much easier to digest once you have some familiarity and competence in the area.

The only real let-down are the typos, which seem to be more concentrated in some chapters rather than others, however they are generally easily spotted and accounted for.

The book is therefore perfect for scientists and engineers, as with a minimum of fuss it teaches the reader everything they need to know to perform calculations, and makes a good introductory text for aspiring mathematicians. At this price, you'd be crazy to not have it lying around somewhere.