- Paperback: 736 pages
- Publisher: Pearson; 5 edition (August 4, 2002)
- Language: English
- ISBN-10: 0201799375
- ISBN-13: 978-0201799378
- Product Dimensions: 6.3 x 1.8 x 9 inches
- Shipping Weight: 2.6 pounds (View shipping rates and policies)
- Average Customer Review: 21 customer reviews
- Amazon Best Sellers Rank: #610,009 in Books (See Top 100 in Books)
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Advanced Calculus (5th Edition) 5th Edition
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1- The exposition is clear and didatic even in points difficults and delicates
2- The sections are short and with exercises in growing level of dificulty with much adequates hints
3- It's necessary to resolve all (or half all) exercises because there are many new stuff there
4- There are responses to all exercises with is good for self study (like mine)
5- There are very litlle typos
6- My only question is that the book would have more exercises
(I supply this doing exercises of other books like M.Boas)
So I recommend this book based in my (good) experience
However, some of Kaplan's explanations were a bit TOO concise. In those cases, I found myself going back to Multivariable Calculus (Stewart's Calculus Series) -- i.e., the second half of Stewart's big calculus book, published separately so that you don't get a hernia from carrying it around. If you grasp a point quickly, Kaplan is better; if you need more help, Stewart is better.
One complaint: The Kaplan book is very cheaply bound. By the end of the semester, my copy was falling apart.
Now that being said I used this book as an upper level undergarduate course in Advanced Calculus. The book expects a lot of mathematical maturity and did not offer any real insights to me. As a consequence I did find myself having to constantly refer to other calculus texts to get an understanding of what Kaplan was explaining. As a resource for learning Advanced Calculus and gaining insight I find it useless, though it is quite useful as a reference.
1. The book is not self-contained. One must constantly refer to other books to work the exercises. Write a complete book next time, jerk.
2. If "mathy" were a word, it would describe this book. Where are the applications? You won't find anything practical here. Boring!
3. How about some examples? That would be nice. Unfortunately, examples are few and far between. Think water in the desert.
4. How about some organization? Nope, you won't find it in this book. It will lope along for several sections, then "Boom! Here are some random exercises. Good luck! I hope you've understood everything perfectly until now, cause this is comprehensive, baby!"
This book is required for my class or otherwise I would throw it into a cesspool. When I'm finished with my class that's just what I will do.
The sections on multi-variable calculus are done very well (with more of a math-department feel than say "div grad curl and all that"). Taking derivatives and integrals in the multi-dimensional setting can be difficult to present from a purely notational standpoint. This book provides the most easily readable presentation that I've seen. Implicit function theorem and tensors covered well. I really found his explanation of co/contra-variant tensors awesome, and loved the exercises for this section especially.
As some others have said: this book is "mathy." The mathematics is presented with definitions and theorems, separated by explanatory/motivational exposition. He doesn't get into Lebesgue measure theory, nor does he talk much about function spaces or functional analysis. Instead, he focuses well-behaved functions and how to do "advanced calculus" with them.
Most recent customer reviews
The author seeks to bewilder rather than instruct and to write around rather than elucidate.Read more