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O'Reilly Platform
book
The Nuts and Bolts of Proofs, 4th Edition
by
Antonella Cupillari
January 2011
Beginner content level
Beginner
296 pages
11h 43m
English
Academic Press
Content preview from
The Nuts and Bolts of Proofs, 4th Edition
EXERCISES
WITHOUT
SOLUTIONS
Discuss
the
truth
of
the
following
statements.
Prove
the
ones
that
are
true;
find
a
counterexample
for
each
one
of
the
false
statements.
Exercises
with
the
symbol
(*)
require
knowledge
of
calculus
and/or
linear
algebra.
General
Topics
1.
I.
Write
each
of
the
following
statements
in
the
form
“
If
A
,
then
B
.
”
II.
Construct
the
contrapositive
of
each
statement:
–
Every
differentiable
function
is
continuous.
–
The
sum
of
two
consecutive
numbers
is
always
an
odd
number.
–
The
product
of
two
consecutive
numbers
is
always
an
even
number.
–
No
integer
of
the
form
n
2
+
1
is
a
multiple
of
7.
–
Two
parabolas
having
three
points
in
common ...
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Publisher Resources
ISBN: 9780123822178