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# Calculus: Early Transcendentals

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Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANCENDENTALS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for
...more

Hardcover, 1308 pages

Published
June 7th 2007
by Thomson Brooks/Cole
(first published February 1st 1995)

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## Community Reviews

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I read this textbook for my AP Calculus BC class. It wasn't too dry, fortunately, and used lots of pictures / tables / charts as reading aids. Many of the exercises included had to do with interesting applications in other areas of math, physics, and engineering — much more fun than the standard "sliding-ladder" problem types that showed up in previous courses. I just wish the authors would have skipped steps less often in the examples.

But regardless, this is an wonderful introductory textbook to calculus. The topics discussed are the absolute essential you need to have. Loaded with lots of practice problems and the proofs and theory are explained with the right amount of mathematical rigor for its intended purpose.

You are not going to like reading it like you'd like reading Spivak's Calculus book, which is more like a tutorial not just reference manual and I gave it one star lesser than I have given to Spivak's book. ( Because we have google for reference, right?)

Aug 01, 2016
Mike
rated it
really liked it
·
review of another edition

Recommends it for:
people brushing up on calculus

When it comes to math books at the calculus level and beyond, I feel like none are really at the elementary level. Most start out at the intermediate level and try to get to the advanced level too quickly. When I first used this book for Calc 1-2, I hated it. The examples were skipping steps and did not help me with the problems. Most of the problems aren't hard, they just require simple tricks or the directions are confusing. For example, If I tried to do all odd problems in a section, I could
...more

rich in graphs

the author is very good at arrange materials, which would help you a lot on remembering the content.

use it as a review, so did not cover all the content.

exercises seem to be good, but hard to find detailed solution, so ignored ...more

I quite liked this edition. Explanations were easy to understand and the material was fleshed out, comprehensive. I basically self-studied with this book since my teacher just assigned problem sets without explaining the lesson, and got a pretty good grasp of the concepts.

Nov 11, 2010
Lee
marked it as not-finished

Certain parts of the text are hard to follow, and the examples sometimes skip steps. I purchased the Studious online account (last for 180 days), and that has been extremely helpful. There are videos for showing the solutions to odd numbered problems, and there are section quizzes.

Oct 24, 2008
Jared
is currently reading it

This book is the bane of my existence, but it's getting me through calculus, so maybe it's also secretly my hero.

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James Stewart is a professor of mathematics and a violinist. He has written a number of textbooks, notably on calculus.

For other James Stewarts, see similar names.

For other James Stewarts, see similar names.

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(a) If is absolutely convergent, show that both of the

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(b) If is conditionally convergent, show that both of the

series and are divergent.

44. Prove that if is a conditionally convergent series and

is any real number, then there is a rearrangement of

whose sum is . [Hints: Use the notation of Exercise 43.

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Take just enough positive terms so that their sum is greater

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cumulative sum is less than . Continue in this manner and use

Theorem 11.2.6.]

45. Suppose the series is conditionally convergent.

(a) Prove that the series is divergent.

(b) Conditional convergence of is not enough to determine whether is convergent. Show this by giving an

example of a conditionally convergent series such that

converges and an example where diverges.

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We now have several ways of testing a series for convergence”
—
1 likes

More quotes…
, then and .

(a) If is absolutely convergent, show that both of the

series and are convergent.

(b) If is conditionally convergent, show that both of the

series and are divergent.

44. Prove that if is a conditionally convergent series and

is any real number, then there is a rearrangement of

whose sum is . [Hints: Use the notation of Exercise 43.

an an

0 a

n

an

0

an an

0 an

0

an

an

an

a

n

an

an

a

n

an

r

an

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Take just enough positive terms so that their sum is greater

than . Then add just enough negative terms so that the

cumulative sum is less than . Continue in this manner and use

Theorem 11.2.6.]

45. Suppose the series is conditionally convergent.

(a) Prove that the series is divergent.

(b) Conditional convergence of is not enough to determine whether is convergent. Show this by giving an

example of a conditionally convergent series such that

converges and an example where diverges.

r an

r

an

n

2

an

an

nan

nan

nan

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We now have several ways of testing a series for convergence”