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Calculus (College Review)
 
 
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Calculus (College Review) [Paperback]

Elliot Gootman Ph.D. (Author)
4.8 out of 5 stars  See all reviews (23 customer reviews)

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Book Description

0812098196 978-0812098198 September 1, 1997
This general review covers equations, functions, and graphs; limits, derivatives; integrals and antiderivatives; word problems; applications of integrals to geometry; and much more. Additional features make this volume especially helpful to students working on their own. They include worked-out examples, a summary of the main points of each chapter, exercises, and where needed, background material on algebra, geometry, and reading comprehension.

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Product Details

  • Paperback: 352 pages
  • Publisher: Barron's Educational Series (September 1, 1997)
  • Language: English
  • ISBN-10: 0812098196
  • ISBN-13: 978-0812098198
  • Product Dimensions: 9 x 6 x 0.7 inches
  • Shipping Weight: 12.8 ounces (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (23 customer reviews)
  • Amazon Best Sellers Rank: #25,795 in Books (See Top 100 in Books)

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Customer Reviews

23 Reviews
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Average Customer Review
4.8 out of 5 stars (23 customer reviews)
 
 
 
 
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35 of 36 people found the following review helpful:
5.0 out of 5 stars I Wish Gootman Had Been My Teacher, August 3, 2006
By 
Kenneth J. Dillon (Washington, D.C. USA) - See all my reviews
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This review is from: Calculus (College Review) (Paperback)
Having once suffered through a boring and utterly ineffective proof-centered university introductory calculus course, I waited 40 years to tackle calculus again. This book has proven immensely helpful. Professor Gootman has a knack for getting right to the point and carefully unfolding his explanation of what you really need to know, with unusually clear illustrative worked problems. He understands that painstaking exposition of theoretical proofs teaches less effectively than working on practical examples. Once the student learns to USE calculus in applied situations, then grasping the theory and proofs becomes much easier. I was able to comprehend everything he had to teach, although I must confess that I only completed the end-of-chapter problems for the first few chapters.

I came away thinking that calculus need not be as difficult as it is made out to be, or actually is in the hands of a less able teacher. Its level of difficulty approximates that of a somewhat difficult language--perhaps Russian for an English speaker. But no more. And, as with Russian, simply practicing it over time can bring gratifying results. Once you master about twenty basic procedures, the rest becomes far more approachable. I recommend this book highly to those frustrated with standard textbooks or simply wishing to understand the basics of how calculus works.
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27 of 28 people found the following review helpful:
5.0 out of 5 stars All the calculus one could need., November 1, 1999
By 
K. J. Smith (Alexandria, VA) - See all my reviews
(REAL NAME)   
This review is from: Calculus (College Review) (Paperback)
My friend and I have gone through more than a dozen calculus books looking to understand the subject. This was the first one to really explain itself well. It starts with the algebraic basics and works up to the calculus at whatever rate one sees fit. Now, a few weeks later, we're both fluent in differential calculus and working our way through integral calculus -- all from a basic algebra background.
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24 of 25 people found the following review helpful:
5.0 out of 5 stars An useful review which is well balanced: theory vs. work, April 3, 2001
This review is from: Calculus (College Review) (Paperback)
Why do I like this book? It assumes you can wing it on some of the algebra and glosses the trig and logarithmic stuff to get to the brass tacks... derivatives and anti-derivatives (integrals).

In simple notation and examples it explains and emphasizes the use of limits to derive the calculus, gives examples and a good dose of exercises WITH ALL ANSWERS in the back!!!

It is not the ultimate calculus tome, it is a great review, it is short enough to handle after hours (since I work for a living) and is a relaxing text with which to work, each section is of good size.

Keep in mind, you will still need that tome on hand for deeper study and more exercises but this book cuts through the piles of pages most calc books bury you with before getting to the work at hand. Which is how one really learns the art of applying the process of calculus.

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Inside This Book (learn more)
First Sentence:
One way in which humanity progresses in its understanding of the universe is by discovering relationships between various objects, concepts, quantities, and so on. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
region being revolved, sample line segment, power rule for integrals, ith subinterval, segment farthest, general antiderivative, fractional expressions, regular partition, summation rules, approximating rectangles, thin vertical strip, segment closest, small subinterval, curve sketching, using summation notation, vertical line test, partition points, ith interval, approximate sums, equal subintervals, vertical line segment, horizontal line segment, quotient rule, outside function, exponent form
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fundamental Theorem of Calculus, Summary of Main Points, Mean Value Theorem, Revisiting Problem, Geometric Applications of the Integral, Interval Sample
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