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Calculus, Multivariable [Paperback]

William G. McCallum (Author), Daniel E. Flath (Author), Andrew M. Gleason (Author), Sheldon P. Gordon (Author), Patti Frazer Lock (Author), David Mumford (Author), Deborah Hughes-Hallett (Author), Brad G. Osgood (Author), Douglas Quinney (Author), Wayne Raskind (Author), Jeff Tecosky-Feldman (Author), Joe B. Thrash (Author), Thomas W. Tucker (Author)
5.0 out of 5 stars  See all reviews (1 customer review)


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There is a newer edition of this item:
Calculus: Multivariable Calculus: Multivariable 2.2 out of 5 stars (9)
$116.78
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Book Description

0471409529 978-0471409526 September 4, 2001 3
The new edition exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand and a flexible approach to technology.
* The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students.

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About the Author

Deborah Hughes-Hallett, University of Arizona
William G. McCallum, University of Arizona
Andrew M. Gleason, Harvard Universityet al.

Product Details

  • Paperback: 432 pages
  • Publisher: Wiley; 3 edition (September 4, 2001)
  • Language: English
  • ISBN-10: 0471409529
  • ISBN-13: 978-0471409526
  • Product Dimensions: 10.5 x 8.6 x 0.6 inches
  • Shipping Weight: 1.9 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #371,952 in Books (See Top 100 in Books)

 

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8 of 11 people found the following review helpful:
5.0 out of 5 stars Here's why you should consider buying this book, October 21, 2005
By 
Henry Lenzi (Porto Alegre, RS Brazil) - See all my reviews
(REAL NAME)   
This review is from: Calculus, Multivariable (Paperback)
As you browse books in Amazon, you might think: "oh, yet another Calculus book."
First, let me begin by putting this book in its proper context: it is a Calculus 2 book, but not an Advanced Calculus book.
But this book has some qualities that set it apart from the heap of Calculus books. First of all, it is the fruition of a Harvard-based consortium with a grant from the National Science Foundation to write a "new" Calculus book. What's new about it? Well, it is based on an "old" philosophy, that I'll paraphrase from the Preface: Calculus was invented to solve problems! So, using Calculus, you can reduce complicated problems to simple ones. Central to this unified, application-oriented approach, every topic is presented numerically, geometrically, and algebraically. Every time, every topic: numerically, geometrically, and algebraically. Now, all contemporary authors of Calculus text would claim to be doing the same. But this way of approaching the subjects is here by design, as a very core characteristic of the text. The result is that you begin to look at the problems as something more than nuisances to be solved by rote learning (gone are the days students got to read Apostol at their first iteration through Calculus...really learning, instead of having dumbed down explanations that, in fact, make learning *harder* - I wasn't one of the lucky ones...) Somehow the authors were very precise and sensitive in identifying "gotchas" in the student's first iteration through multivariable calculus.
I discovered this book a bit too late in my Calculus 2 class. But this is a cheaper book than the ones that cost over $100. You should buy it, even as a supplement. Again, keep in mind this is not Advanced Calculus and neither was it meant to be.
And insofar as "mathematical rigor" is concerned _at this level_ it is the same - and IMHO even a little better - than some other very popular books.
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Inside This Book (learn more)
First Sentence:
Many quantities depend on more than one variable: the amount of food grown depends on the amount of rain and the amount of fertilizer used: the rate of a chemical reaction depends on the temperature and the pressure of the environment in which it proceeds: the strength of the gravitational attraction between two bodies depends on their masses and their distance apart: and the rate of fallout from a volcanic explosion depends on the distance from the volcano and the time since the explosion. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
central vector field, curl test, find parametric equations, circulation density, nonzero circulation, parameter rectangle, contour diagram, local linearity, curl field, oriented counterclockwise, parameterized surfaces, flux integral, global extrema, divergence test, area vector, local linearization, geometric definition, velocity vector field, particle whose motion, parameterized curves, curve parameterized, coordinate definition, oriented clockwise, algebraic definition, second derivative test
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Divergence Theorem, New York, Exercises In Exercises, Fundamental Theorem of Calculus, Challenge Problems, Solution Let, Use Problem, Exercises For Exercises, Coulomb's Law, Kepler's Second Law, Solution First, Conservation of Energy, Half Dome, Interpretation of the Double Integral, Solution Figure
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