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Calculus: Concepts and Connections

Calculus: Concepts and Connections

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Authors: Robert Smith, Roland Minton
Publisher: McGraw-Hill Science/Engineering/Math
Category: Book

Buy Used: $34.99



New (16) Used (22) from $34.99

Rating: 3.5 out of 5 stars 3 reviews
Sales Rank: 125288

Media: Hardcover
Edition: 1
Pages: 1104
Number Of Items: 1
Shipping Weight (lbs): 5.7
Dimensions (in): 10.1 x 8.7 x 1.7

ISBN: 007330929X
Dewey Decimal Number: 515
EAN: 9780073309293

Publication Date: May 23, 2007
Availability: Usually ships in 1-2 business days

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Editorial Reviews:

Product Description
This modern calculus textbook places a strong emphasis on developing students' conceptual understanding and on building connections between key calculus topics and their relevance for the real world. It is written for the average student -- one who is mostly unfamiliar with the subject and who requires significant motivation. It follows a relatively standard order of presentation, with early coverage of transcendentals, and integrates thought-provoking applications, examples and exercises throughout. The text also provides balanced guidance on the appropriate role of technology in problem-solving, including its benefits and its potential pitfalls. Wherever practical, concepts are developed from graphical, numerical, algebraic and verbal perspectives (the "Rule of Four") to give students a complete understanding of calculus.


Customer Reviews:

4 out of 5 stars Nice book   September 18, 2007
Shafiq Ur Rehman
Gave me a good understanding of Calculus concepts, I needed it to go through a pre-req for my Masters in Computer Science. Would give it a 4 star.


4 out of 5 stars Good supplement   October 14, 2007
Rick
Another reviewer has pointed out some of the shortcomings of this text, and those are some pretty critical problems. I would not recommend this text alone, but it is a pretty good supplement. Specifically, I found the discussion of curvature to be brilliant.


2 out of 5 stars not too good   August 29, 2007
Wigg
3 out of 3 found this review helpful

-The definition of e is given as lim(1 + 1/n)^n, with no motivation, and before
limits are discussed. (From a book purporting to emphasize concepts!)
-No proof of the general power rule appears (it's an easy application of
logarithmic differentiation).
-No formula is given for the derivative of e^f(x).
-A "proof" of the mean value theorem appears in the appendix. It invokes
Rolle's theorem, but Rolle's theorem is not proven. (Reason: Rolle's uses the
extreme value theorem which is not mentioned in the book. It also uses
Fermat's theorem, which is not covered until 40 pages after Rolle's in this book.)
-Newton's method is introduced before students have experience solving
equations of the form f(x)=0 (e.g. finding critical numbers). So there is no
motivation. Also it is done before graphing, so students have no basis
for making their initial estimate.
-Part 1 of the fundamental theorem of calculus follows in 2 lines from part 2.
This text makes no mention of this; it gives separate proofs of each part
using the MVT.

In general, this text seems pretty disengaged from the underlying mathematics.


 
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