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Calculus, Single Variable 3rd Edition
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Top Customer Reviews
If you like thinking about the ideas behind things, and then learning about the formalism and mathematics of it, then this book is for you. If you prefer proofs, analysis, and "learn these steps and solve these problems" examples, you'll probably want to find a different text.
I can remember, though, the JOY of actually deriving things for myself, like how to calculate the volume of a solid rotated about some line or some such nonsense, because I could understand exactly what was needed. That is how I would describe this book: It's not a book about proving theorems and making you memorize a bunch of rules. Instead, it makes you really understand the subject matter, so that you can use the ideas of calculus to solve a variety of problems, even if they're problems you have no idea how to solve when you first read through them!
That is one thing that this book taught me that I found indespensible. You don't have to know how to do something, because you might be able to figure it out yourself instead of having some professor or text book or internet article tell you how to! Perhaps this approach is a little too ambitious, and I'll admit I spent a lot of time going through this text trying to reason things out, but it was time well spent.Read more ›
After reading the previous reviews, I would have to agree with many of them. However, I think I should explain in detail what I feel is lacking. One important thing to note is that I am writing about the first edition.
First: The authors introduce the concept of the derivative _before_ the concept of a limit? Excuse me? Which is more fundamental, and should be introduced first? The author just uses the word limit before defining it. A no-no in mathematics. The concept of a limit is the most important in calculus and absolutely foundational to the rest of the subject.
Second: Even worse than the first complaint: the author never even gives the delta-epsilon definition of a limit! This is not optional! Especially for students going on to Calc 3 and Real Analysis, they must have exposure to delta-epsilon proofs. It took me that many different exposures just to get it!
Third: the authors noted in their introductions (I always read introductions to books: gives you their philosophy), they mention that the book, the way they wrote it, helps students with weak algebra backgrounds. Forgive me for being hard-nosed, but I would say that students with weak algebra backgrounds ought to strengthen their algebra before tackling calculus! It's hard enough with an adequate background! Mathematics is hopelessly cumulative, and going on without thorough mastery of previous concepts is foolhardy.
It seems to me that the most logical development in calculus is the following: functions, limits, derivatives, integrals. The author has not followed this arrangement.
To its credit, however: the author reviews functions in chapter 1.Read more ›
Most Recent Customer Reviews
Yeah, so I'm writing this review a few years after I purchased it. Never really liked over-paying for college textbooks so it's hard to give it even 2 stars...sorry, 1 star it is.Published on December 20, 2012 by Steve F
this book help me so much with my job because i'm mathematics teacher in a school, and its very complete.Published on November 29, 2008 by Roberto Ontiveros
item was recieved on time and in good condition
very happy with the purchase
If you want to learn integration techniques and become a whiz at basic computational calculus, you need another book. Read morePublished on May 12, 2007 by Amazon Customer
I am using this text to teach myself Calculus. Explanations are skimpy, and offer very few practice problems with each of the steps worked out. Read morePublished on October 29, 2004 by Xel
Ok this textbook does not teach at all. It basically just provide examples that is it. IT doesn't say why you do it or explain the calculus at all. Read morePublished on July 19, 2004 by Penny
This is an absolutely terrible textbook. Hardly any explanations in any of the sections for problem solving. Read morePublished on June 25, 2004
I'm finishing my PhD and am now a professor of physics. A long, long time ago, I used photocopies of this book. The book hadn't been published yet, and was still under review. Read morePublished on February 14, 2004 by Peter NYC
I'm currently in the middle of my third semester using this text. I used this text for Calc 1, Cald 2, and am using it for Calc 3. At first, I HATED this text book. Read morePublished on January 27, 2004 by Jim Anderson