James Stewart


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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.
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Average rating: 3.83 · 3,899 ratings · 229 reviews · 688 distinct worksSimilar authors
Calculus [With CDROM]

3.96 avg rating — 1,300 ratings — published 1986 — 50 editions
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Calculus: Early Transcenden...

3.96 avg rating — 661 ratings — published 1995 — 56 editions
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Multivariable Calculus

3.79 avg rating — 232 ratings — published 1991 — 25 editions
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Single Variable Calculus

3.57 avg rating — 115 ratings — published 1991 — 29 editions
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Multivariable Calculus: Ear...

3.94 avg rating — 71 ratings — published 2002 — 8 editions
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There's a Hole in My Garden

3.50 avg rating — 72 ratings — published 2018 — 3 editions
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Precalculus: Mathematics fo...

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3.63 avg rating — 119 ratings — published 1997 — 37 editions
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Essential Calculus

3.73 avg rating — 143 ratings — published 2006 — 28 editions
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Calculus: Concepts and Cont...

3.72 avg rating — 134 ratings — published 1997 — 26 editions
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Single Variable Essential C...

3.32 avg rating — 142 ratings — published 1995 — 37 editions
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“Behind Calvary's cross is the throne of heaven.”
James Stewart

“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.
an an

0 a
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an an
0 an
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an

an

an

a
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an

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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

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an

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nan

nan

nan
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We now have several ways of testing a series for convergence”
James Stewart, Calculus: Early Transcendentals

“You know, I just love Grace Kelly. Not because she was a princess, not because she was an actress, not because she was my friend, but because she was just about the nicest lady I ever met. Grace brought into my life as she brought into yours, a soft, warm light every time I saw her, and every time I saw her was a holiday of its own. No question, I’ll miss her, we’ll all miss her, God bless you, Princess Grace.”
James Stewart

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Historical Fictio...: 3 books to take on a deserted island... 149 853 Sep 11, 2020 06:19AM  


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