Advanced Calculus | 
 enlarge | Author: Gerald B. Folland
Publisher: Prentice Hall
Category: Book
List Price: $73.33
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Rating:  3 reviews
Sales Rank: 887852
Media: Paperback
Pages: 480
Number Of Items: 1
Shipping Weight (lbs): 1.9
Dimensions (in): 9.6 x 7 x 0.9
ISBN: 0130652652
Dewey Decimal Number: 515
EAN: 9780130652652
Publication Date: December 31, 2001
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Product Description
This book presents a unified view of calculus in which theory and practice reinforces each other. It is about the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard calculus books. Chapter topics cover: Setting the Stage, Differential Calculus, The Implicit Function Theorem and Its Applications, Integral Calculus, Line and Surface Integrals—Vector Analysis, Infinite Series, Functions Defined by Series and Integrals, and Fourier Series. For individuals with a sound knowledge of the mechanics of one-variable calculus and an acquaintance with linear algebra.
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| Customer Reviews:
 Ugh. July 24, 2007
Greg Schreiter (Rochester, Minnesota United States)
1 out of 1 found this review helpful
I used this book for an Advanced Calculus course, and it was a pain to work through. The definitions are ambiguous, there are not enough examples, and there is an extremely condescending style of writing used by the author. He states "this simple verification is left as an exercise..." on many occasions, and this is frustrating to any student. The author also selects which answers he wants to give (and they are usually the easiest exercises). The chapter on Fourier analysis was extremely difficult, because there were hardly any illustrative examples (in some sections of this last chapter, there were no examples at all).
I actually was pleased with the second chapter on differentiation in R^n (and the first chapter on topology was decent), as there are plenty of examples and many exercises to reinforce the ideas of the text. This is why it gets 3 stars, but you could still do better than this text. We did not cover the chapters of the integration theory and differential forms due to time restraints (would have made Fourier loads easier). Instead of this text, get baby Rudin, or some of Apostol's texts, or Lang's excellent calculus texts, etc...
not too good... April 12, 2004
Fourier Jr (Victoria, Canada)
2 out of 5 found this review helpful
I can't really think of good things to say about this book... There aren't enough problems & definitely not enough examples (like 1 or 2 in each section). The explanation is ok but more examples would have made this book much more helpful. This book is pretty average. I don't know if the Schaum's Advanced Calculus book is the best, but it's better than this one.
 Disappointment April 29, 2008
Pseudosox (Columbus, OH)
This text leaves much to be desired as an application-intensive calculus primer and fails even more miserably as a proof-intensive development of multivariable analysis. My complaints are,
1) The writing style is convoluted, boring, at times directionless.
2) I had to severely edit the proofs before they were respectable. Many of the proofs suffer from blatant flaws. ertain proofs are not even proofs, but conclude with the statement: "an obvious pattern emerges" as opposed to making the appropriate inductive argument.
3) The definitions are unspecific and often involve mere hand-waving.
4) The examples are unhelpful and not illustrative.
5) This is just personal preference, but I really don't like Folland's topology notation and have frequent problems with the rest of his notation.
There are better books out there. Don't waste your time with this one.
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