Schaum's Outlines Advanced Calculus

By Robert C. Wrede and Murray R. Spiegel

Book Overview

Tough Test Questions? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's.

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, solvedproblems, and practice exercises to test your skills.

This Schaum's Outline gives you

1,370 fully solved problemsComplete review of all course fundamentalsClear, concise explanations of all Advanced Calculus concepts

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

Topics include: Numbers; Sequences; Functions, Limits, and Continuity; Derivatives; Integrals; Partial Derivatives; Vectors; Applications of Partial Derivatives; Multiple Integrals; Line Integrals, Surface Integrals, and Integral Theorems; Infinite Series; Improper Integrals; Fourier Series; Fourier Integrals; Gamma and Beta Functions; and Functions of a Complex Variable

Schaum's Outlines--Problem Solved.

• Format: Paperback
• Language: English
• ISBN: 0071623663
• ISBN13: 9780071623667
• Release Date: January 2010
• Publisher: McGraw-Hill Companies
• Length: 464 Pages
• Weight: 1.60 lbs.
• Dimensions: 0.9" x 8.1" x 10.8"

Customer Reviews

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+

Very Useful

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.

swoosh

These books are a cheap suplement for courses or whatever you desire, and in general, especially the ones written by the late Murray Spiegel, are quite excellent. 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.