Ideal (solved examples) companion to your calculus textbook

books:

	• Schaum's Outline of Advanced Calculus, Second Edition Robert C. Wrede, Murray Spiegel McGraw-Hill, 2002 - 356 pages average customer review:based on 17 reviews view larger image
	for more information click here

highly recommended

Serious error in great book

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.

Great reference for advanced calc/analysis

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+

for more information click here

Ideal (solved examples) companion to your calculus textbook

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.

for more information click here

It's working!

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.

reviews: page 1, 2, 3, 4

This best-selling guide--which has sold more than 340,000 copies since its first publication--has been thoroughly updated throughout to correspons to current advanced calculus courses. A complete and comprehensive review of the subject, this updated edition features important new chapters on topology and Laplace transforms and essential new theorems, with explanatory proofs.

for more information click here

hot