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Calculus: Single and Multivariable 4th Edition

3.1 out of 5 stars 57 customer reviews
ISBN-13: 978-0471472452
ISBN-10: 047147245X
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Product Details

  • Hardcover: 1104 pages
  • Publisher: Wiley; 4 edition (December 7, 2004)
  • Language: English
  • ISBN-10: 047147245X
  • ISBN-13: 978-0471472452
  • Product Dimensions: 8.8 x 1.5 x 10.7 inches
  • Shipping Weight: 5.2 pounds
  • Average Customer Review: 3.1 out of 5 stars  See all reviews (57 customer reviews)
  • Amazon Best Sellers Rank: #1,058,742 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

Format: Hardcover
I have a Ph.D. in math and teach at a college in California. I compared the Hughes-Hallett book with 7 other calculus books: Anton, Edwards, Larson, Rogawski, Smith, Stewart, Thomas. Here are some concerns with the Hughes-Hallett book.

This book is missing the following topics: reciprocal trigonometric functions (sec x, csc x, cot x), squeeze theorem, logarithmic differentiation, sketching graphs by hand by using derivatives, telescoping series, curvature, tangential and normal components of acceleration, line and surface integrals over scalar fields. All the other 7 books include these topics.

Six series tests are crammed into section 9.4. None of the other 7 books cram all six of these series tests into one section.

The Root Test for series is embedded into two homework problems. All of the other 7 books include the Root Test in a box within a section.

Planes (12.4) are discussed before talking about vectors (chapter 13). All the other 7 books discuss vectors first and then use vectors to develop planes.

Center of mass multiple integral formulas are embedded into the homework problems. All the other 7 books explain center of mass multiple integral formulas within a section.

The preface reads, "Students are expected to use their own judgment to determine where technology is useful." All the other 7 books make it clear when the students should use technology.

The preface reads, "There are very few examples in the text that are exactly like the homework problems. This means that you can't just look at a homework problem and search for a similar-looking `worked out' example." Many students learn calculus by seeing `worked out' examples.

Instructors: If you are considering adopting this book, then you've been warned.

Students: If you have to use this book, then go to class, do your homework, and good luck.

Hope this information helps.

Dr. Chuck
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Format: Hardcover
(Commentary below refers to soft cover Third Edition.)

For those of us who learn by example and who need more active guidance through difficult material, this book falls short. It appears to be a deliberate design strategy of this book, to under-explain then over-exercise. This is tolerable until one gets to integration, where the sink-or-swim approach will result in many unnecessary drownings.

Stewart seems at least a little better in this regard, and I note that it is replacing Hughes-Hallett in my school.

One could hope some day for a text written by someone who had enough trouble learning the subject, to be able to remember the value of a patient explanation.

No, 8 pages (including the exercises) are NOT sufficient to explain algebraic identities and trigonometric substitution in integration, except to a bright student with a fresh memory of trigonometry.

The physical weight of this book is burdensome, and the price is symptomatic of the shameless shakedown racket that American textbook publishing has become. Some Web research reveals that a typical price for a German university mathematics text is under $50 equivalent.
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Format: Hardcover Verified Purchase
I was required to buy this book because of my Calc II class, and I must say it was rather horrible. As my teacher was incompetent and simply took samples out of the book and did them on the board, I found myself relying on teaching myself the material out of the book. Unfortunately, the amount of explanation in the text is... minimal, at best. It usually just says "This is what you do, and it works because it's MATH." The examples skip a fair number of algebraic steps--great, if you remember every bit of your middle and high school math classes, but very confusing if you forget anything. I ended up failing the class because I couldn't learn an adequate amount out of this book.

I used a different book for Calc I, and this can't hold a candle to it. If I was unsure of something, I could read the start of a chapter and understand it. This book, more often than not, leaves me more confused than when I started.
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Format: Hardcover Verified Purchase
Just working my way through this as exercise for an aging brain. Never mind the negative reviews from CC students, this is a brilliant text that gets better as it goes (I started with an earlier edition). Of course it is too expensive, but you can find old editions for very fair prices. If I had had this text instead of Taylor those many years ago, I would have stayed a math major. H-H emphasizes meanings and working from definitions and gives applications from interesting studies in other disciplines (showing that calculus really is useful). Only a minimum of proofs intrude, but there is more information than most (try finding "phase shift" in other elementary treatments of periodic functions). Lots of graphical interpretation, which is nowadays a snap with an app like Desmos graphing calculator on a chromebook. The problems are not merely challenging_they are illuminating.
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Format: Hardcover Verified Purchase
Some rigor, although thankfully not so much rigor that the average student is lost and confused in a pile of proofs. I love how the authors apply the "Rule of Four", explaining concepts algebraically, graphically, numerically, and through verbal/written explanations and examples. This is a Calculus book written for people who didn't win the state science fair at the age of six! It's a great book for people who really want to learn Calculus but who don't have the sufficient mathematical background to handle an analysis-based Calculus course. I love this book. I used it for my Calculus I, II, and III courses at NEIU, and here I am about to start the PhD program at Illinois Institute of Technology.
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