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# Calculus: Early Transcendentals

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This edition of James Stewart's best-selling calculus book has been revised with the consistent dedication to excellence that has characterized all his books. Stewart's Calculus is successful throughout the world because he explains the material in a way that makes sense to a wide variety of readers. His explanations make ideas come alive, and his problems challenge, to re
...more

Hardcover, 1320 pages

Published
December 24th 2002
by Brooks Cole
(first published February 1st 1995)

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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?)

Nov 19, 2012
Fleur_de_soie
rated it
really liked it
·
review of another edition

Shelves:
econometrics

very thorough in calculus theories and also in application to various of areas, like economics, biology physics and engineering.

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

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

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.

Apr 01, 2015
Josh
added it

Not as elegant as Spivak's text but certainly a bit more thorough. Fairly easy to read and offers lots of supplementary material and exercises. As good an entry as any into the wonderful world of calculus.

Aug 03, 2011
Dena Burnett
added it

Probably one of the "better" calculus textbooks I've had to read and work from.

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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.

No trivia or quizzes yet. Add some now »

“Notice that if , then and , whereas if

, 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.

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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

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an

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2

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nan

nan

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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

r

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

an

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