Calculus: Single and Multivariable | 
 enlarge | Authors: Deborah Hughes Hallett, Andrew M. Gleason, William G. Mccallum, Daniel E. Flath, Patti Frazer Lock, Thomas W. Tucker, David O. Lomen, David Lovelock, David Mumford, Brad G. Osgood, Douglas Quinney, Karen Rhea, Jeff Tecosky-feldman
Publisher: Wiley
Category: Book
Buy Used: $32.95
New (27) Used (63) from $32.95
Rating:  12 reviews
Sales Rank: 139981
Media: Hardcover
Edition: 4
Pages: 1104
Number Of Items: 1
Shipping Weight (lbs): 5.2
Dimensions (in): 10.6 x 8.6 x 1.6
ISBN: 047147245X
Dewey Decimal Number: 515
EAN: 9780471472452
Publication Date: December 7, 2004
Availability: Usually ships in 1-2 business days
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Product Description
Striking a balance between concepts, modeling, and skills, this highly acclaimed book arms readers with an accessible introduction to calculus. It builds on the strengths from previous editions, presenting key concepts graphically, numerically, symbolically, and verbally. Guided by this innovative Rule of Four approach, the fourth edition examines new topics while providing readers with a strong conceptual understanding of the material.
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| Customer Reviews: Read 7 more reviews...
 Calculus education January 24, 2008
George Rop
0 out of 1 found this review helpful
This book is more focused on applications than the two other calculus books I have used. However, it omits the trigonemetric functions secant, cosecant, and cotangent.
 Rewarding Book May 12, 2007
Jay (Evanston, Illinois)
3 out of 3 found this review helpful
If you want to learn integration techniques and become a whiz at basic computational calculus, you need another book. If you want a book that gives you a lot of proofs and tons of examples, you also probably need another book.
So why do I give the book 4 stars? The answer is _the problems_. I used this book for 3 semesters of calculus, and I felt like I actually discovered a lot of the machinery of calculus just by doing the problems. It's a great feeling to discover rather than be taught. That's what this book helps you do.
Of course, this means you will probably have to do a few more problems than the teacher assigns (unless the teacher is very in tune with the book and knows exactly which problems are related). Also, when you get to techniques of integration, you'll probably need to refer to other books for examples.
Another downside is the cost. But, unfortunately, that's a problem with all American text books.
Oh and about the book and solution manual not giving many solutions... Don't worry about it. When you solve most of these problems, you _know_ when you get the answer because everything will click and make sense. This is a fun book for problem solvers.
need this for your science and engineering courses July 25, 2005
W Boudville (Terra, Sol 3)
7 out of 12 found this review helpful
Mastery of the material in this book is vital for anyone majoring in engineering, the physical sciences or, of course, maths. For such a student, the book is suitable for a first undergraduate year course. While it could be used in the second year, that would give you less time to apply the material in your science and engineering classes.
The book assumes prior knowledge of algebra and trigonometry. But strictly nothing of calculus. It starts from scratch. The level of rigour is not quite that of Spivak or Apostol. But those texts are primarily directed towards maths majors. The rigour in this book's explanations and proofs is perfectly adequate for other majors.
The book takes you to the partial derivative and the idea of a vector field. Which will dovetail nicely with other courses on electromagnetism, for example.
 I would not adopt it for my courses in calculus December 22, 2006
Charles Ashbacher (Marion, Iowa United States(cashbacher@yahoo.com))
10 out of 11 found this review helpful
I teach mathematics and computer science at a small college, so I examined this book for possible adoption as a text in our three class sequence in calculus. Since it does cover calculus all the way through flux integrals and the calculus of vector fields, there is certainly enough material for the sequence. One characteristic that I approved of was the lack of "using technology" segments.
In this area, I will be the first to admit that I am of the old school, even though I have taught a course in programming with Maple and am a heavy user of Mathematica. The reason why I disapprove of using these programs in calculus is that the students have enough on their minds without having to learn how to program a symbolic mathematics package. Learning calculus is very hard, all mathematics, especially calculus, is not a spectator sport. Some people liken it to a contact sport, as it can be very exhausting to learn it. Forcing the students to simultaneously learn programming is in my opinion too much to ask. There are plenty of exercises and solutions to the odd-numbered ones are included.
However, I will not be adopting this book or recommending that it be adopted. I do not think the depth of the explanations is adequate. For example, on page 50 there is the epsilon-delta definition of a limit. After that, there is only one example (limit of 2x as x goes to 3) of how this definition is used to determine a limit. On the next page there is a theorem listing many of the properties of limits but no explanations as to why they are true. Proofs are largely nonexistent, the pedagogical style is to say, "here is something that is true" and then go immediately to an example of how it is used.
I will readily concede that if that is your style of teaching calculus, then this book will work for you. However, if you want to occasionally give a true proof-style explanation as to why a property holds, then you are on your own.
 Falls short where it counts September 12, 2005
Superannuated student (N. Calif.)
12 out of 12 found this review helpful
(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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