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Calculus: Single and Multivariable 4th Edition

3 out of 5 stars 56 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: 3.0 out of 5 stars  See all reviews (56 customer reviews)
  • Amazon Best Sellers Rank: #422,707 in Books (See Top 100 in Books)

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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
This book was maybe written with the idea of making the teacher's job easier by providing large sets of problems that would create lots of questions from students. The real issue is that most schools, or students for that matter, do not have the time or resources to ask or answer the number of questions, mostly in the form of grey areas, which this book introduces.

So back to what everyone else is saying about this book: it's missing patient examples with fine grain explanations of how to apply, often convoluted, steps to solving problems. I don't feel the material sticks as well when my own theory of the material is the only supporting information. I am sure the author thinks it's the teacher's sole responsibility to provide the details where they are not given in the book, but this is back to paragraph A) of my review. I have learned many programming languages and material by reading books, and I apply what I learned in those books to real world problems, or infer a solution to a problem from what I learned out of the book. Learning and understanding key concepts is the first step -- then maybe throw us into the hot water.

Go do yourself a favor and buy the Stewart book and see if you can find someone to print the homework problems assigned for you. In addition, the tutor's solutions have the full solutions to ALL of the problems in the book (even and odd), and the solutions are very well written. The solutions PDF has been the most valuable tool in cracking the enigma.

UPDATE: I am updating my review to include my professor, and friend's, feedback about this book. They recently switched from Stewart back to Hughes and many students are completely lost again.
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