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Calculus: Early Transcendental Functions Hardcover – January 23, 2006

ISBN-13: 978-0073229737 ISBN-10: 0073229733 Edition: 3rd
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Product Details

  • Hardcover: 1376 pages
  • Publisher: McGraw-Hill Science/Engineering/Math; 3 edition (January 23, 2006)
  • Language: English
  • ISBN-10: 0073229733
  • ISBN-13: 978-0073229737
  • Product Dimensions: 8.8 x 2 x 10.3 inches
  • Shipping Weight: 6.3 pounds
  • Average Customer Review: 3.7 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #370,264 in Books (See Top 100 in Books)

Customer Reviews

3.7 out of 5 stars
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Most Helpful Customer Reviews

15 of 21 people found the following review helpful By Charles Ashbacher HALL OF FAMETOP 500 REVIEWERVINE VOICE on January 11, 2007
Format: Hardcover
As a math instructor at a small college, I am occasionally called upon to teach calculus. Therefore, I examined this book for possible consideration as a textbook in our three-course sequence. At over 1000 pages, it certainly has all the material needed for the three-course sequence we offer at Mount Mercy. The first chapter (number 0) of 72 pages consists of a review of precalculus topics. I consider this to be about right in terms of the amount of review material that should be included. However, if I were teaching the class, I would spend around a week on this material. In my opinion there is a reason for prerequisites and the most important one is so that you can cover the material of the current course, not review what should have already been done.
Chapter number 1 is an introduction to limits, but the approach is intuitive rather than formal. In my opinion, there is not enough of the traditional epsilon-delta approach to the structure of limits. The remainder of the book is largely more of this "intuitive" notion of calculus. Theorems are stated but rarely proven, most of the time there is a statement of the new technique followed by a series of worked examples. While this approach works well, there are times when there is just no substitute for the complete proof of a theorem when it comes to understanding exactly what the technique really is.
Therefore, if your approach to calculus is to have the students engage in "plug and chug" exercises, then this book would be an excellent selection for a textbook. However, if you are like me and feel the need to inject some occasional rigor, you will either have to provide it yourself or use another book.
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1 of 1 people found the following review helpful By muddy glass on November 19, 2010
Format: Hardcover
i have taught calculus 1 and calculus 2 a number of times using smith/minton. the math department previously used stewart's book, but switched to smith/minton to give it a chance, especially since the included math zone software seemed interesting. however, after three years, the math department switched back to stewart.

my students often complained about the numerical emphasis in smith/minton. it's different from what you'd see in other textbooks, but that's not necessarily a bad thing. it's a matter of taste. the disconnect comes when students are doing homework problems and must rely on pen and paper rather than a computer. at that point, the stronger numerical and technology emphasis in smith/minton was seen as a disadvantage by many of my students. in fairness to the authors, i should also state that i don't allow calculators on exams, which probably enhances this negative perception in my students' minds.

in truth, no calculus textbook will fit everyone's needs. some instructors will like epsilon-delta proofs, some will like the use of the hyperreals from nonstandard analysis, some will like the non-rigorous intuitive approach, and some will like a greater role to be played by our ever evolving technology. the individual instructor should rightfully fill in the gaps based on his/her knowledge of the subject matter, making the best of the situation, because of the very fact that no one calculus textbook can be perfect. in the case of smith/minton, the instructor should be prepared to stress algebraic skills and symbolic manipulations a bit more to complement the text, especially given some of the harder exercises. (a poor algebraic foundation is, in my opinion, the main reason students fail calculus.
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1 of 1 people found the following review helpful By John Galt on May 7, 2012
Format: Hardcover
I just completed a 3-sequence course using this book *and* I read the entire thing, so I can say for a fact it is one of the more rigorous texts out there, with almost no theorems going unproven (the few that are clearly state that it requires techniques from advanced calculus), and the proofs are easy enough to follow (meaning well presented) that it peaked my interest in taking more advanced classes. All formulas are clearly derived so that you can "own" them, i.e. memorize if you want, but you understood how it was derived, you own it, so it can be on your reference sheet. The only thing I would knock the author for, and hopefully they fix in the 4th edition, is to get rid of ALL the "why is that?" and "think about that!"... without ever actually saying what the right way to think about such things are (he is trying to get you to think beyond the material I'm sure, but since they never say why or what the answer is, we don't know if we are). If it is an important point, then say it; otherwise, drop it. Same goes for points you felt are important enough to bring up in the main body of the text, but then you say "and that is left as an exercise". But those comments aside, it was really an excellent text. I compared some of the chapters to the old Thomas & Finney book I have, and the Smith & Minton book is superior in its presentation of the material.
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