Now in its fourth edition, Calculus reflects the strong consensus within the mathematics community for a balance between contemporary and traditional ideas. Building on previous work, it brings together the best of both new and traditional curricula in an effort to meet the needs of instructors and students alike. The text exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that is easy to understand, and a flexible approach to technology.
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Most Helpful Customer Reviews
10 of 11 people found the following review helpful:
1.0 out of 5 stars
Opaque; provides little context; all but useless to the freshman,
This review is from: Calculus: Single Variable (Paperback)
Little explanation or background is provided to orient the student; the book assumes the reader has been using trigonometry and algebra on a daily basis for the better part of adulthood. An example of this is the section on rates and related rates (4.6). There are two paragraphs given in the way of explanation:
"Derivatives represent rates of change. In this section, we see how to calculate rates in a variety of situations." And... "In Example 1, the radius of the snowball decreased at a constant rate. A more realistic scenario is for the radius to decrease at different rates at different times. Then, we may not be able to write a formula for V as a function of t. However, we may still be able to calculate dV/dt, as in the following example." No mention of how the process of working related rates problems is similar to implicit differentiation. No step-by-step outline of a general way to go about working this category of problem. Just examples outside of any framework. Better for a refresher in Calculus for graduate students than a freshman-level course. I used Stewart's "Calculus: Concepts and Contexts" to learn how to do the assigned work from this text. Don't think the solutions manual will help--only a subset of the odd problems in the text are described and the explanations are often wanting.
10 of 11 people found the following review helpful:
1.0 out of 5 stars
A Bad Book,
This review is from: Calculus: Single Variable (Paperback)
This book is terrible. I used it for both calc 1 and 2. The University of Connecticut used this book for 3 semesters and than decided it was junk. Most of the math department hated the book and for the spring 07 semester they switched to the James Stewart book which is used for multivariable.
The problems are very hard and often the chapter does not show how to solve or give you strageties to solve them, the book does nothing well and is just an expensive paper back book with a horrible solution manual.
8 of 9 people found the following review helpful:
1.0 out of 5 stars
Terrible book!,
By
This review is from: Calculus: Single Variable (Paperback)
This book does not provide enough examples, and the few they do give are nothing like the work problems. Every teacher I've had has said if they were not required to use it, they would use a different book. And on top of that, it is ridiculously expensive! I have finally been forced to get another text book, and it is much better (and cheaper). Do not get this book if you have a choice.
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Inside This Book
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First Sentence:
Functions are truly fundamental to mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
racetrack principle, increasing function theorem, tangent line approximation, continuous growth rate, general antiderivative, solid whose base, limit comparison test, robin population, slope field, elementary antiderivatives, check your formula, approximating definite integrals, use your solution, graph vertically, light rectangles, finite geometric series, chirp rate, computer algebra system, use your graph, global min, power series converges, alternating series test, global maxima, local min, horizontal asymptote Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fundamental Theorem of Calculus, New York, Exercises For Exercises, Exercises In Exercises, Hong Kong, Ready Reference, Challenge Problems, Constant Function Theorem, Exercises Find, Solution Let, Solution Using, United States, Use Euler, Intermediate Value Theorem, Reading Island, Civil War, Great Lakes, Problems In Problems, Solution Figure, Solution First, Soviet Union, Use Taylor, West Germany, Big Tree, Mathematical Association of America New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Functions are truly fundamental to mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
racetrack principle, increasing function theorem, tangent line approximation, continuous growth rate, general antiderivative, solid whose base, limit comparison test, robin population, slope field, elementary antiderivatives, check your formula, approximating definite integrals, use your solution, graph vertically, light rectangles, finite geometric series, chirp rate, computer algebra system, use your graph, global min, power series converges, alternating series test, global maxima, local min, horizontal asymptote Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fundamental Theorem of Calculus, New York, Exercises For Exercises, Exercises In Exercises, Hong Kong, Ready Reference, Challenge Problems, Constant Function Theorem, Exercises Find, Solution Let, Solution Using, United States, Use Euler, Intermediate Value Theorem, Reading Island, Civil War, Great Lakes, Problems In Problems, Solution Figure, Solution First, Soviet Union, Use Taylor, West Germany, Big Tree, Mathematical Association of America New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 11
books:
See all 11 books this book cites
1
book
cites this book:
- Calculus: The Analysis of Functions by Peter D. Taylor on 4 pages
- An Introduction to Behavioural Ecology by Nicholas B. Davies on page 184, and page 200
- Musical Acoustics by Charles Aaron Culver on page 491, and page 497
- An Introduction to Numerical Analysis by Kendall Atkinson on page 333
- Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1) by James D. Murray on page 550
See all 11 books this book cites
- Approximately Calculus by Shahriar Shahriari in Back Matter
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