| CONTENTS Chapter 1
. Sequence and series 1
A collection or set of
numbers, arranged in
order, according to some
pattern or law, so that
one number can be
identified as the first
and another as the
second, and so forth, is
referred to as a sequence
.
Chapter 2 .
Mathematical induction
and the binomial theorem
20
In this chapter we will
investigate a method of
proof called mathematical
induction and then use
mathematical induction to
verify the binomial
theorem for all positive
integral values of n.
Chapter 3 .
Descriptive statistics 29
Statistics is the
collection of great
masses of numerical
information which is
summarized and then
analyzed for the purpose
of making decisions; that
is, the use of past
information is used to
predict future actions .
---In this chapter we
will assume that the
numerical data has 98
been collected (by
various processes) and
will 97 discuss
distribution and measures
of central 97 tendency
and variability .
Chapter 4 .
Statistical inference 48
Statistical inference is
the process of making
"inferences,"
or deductions, concerning
large numbers .
Chapter 5. Number
systems 71
A number system is a set
of symbols or characters
which stand for numbers
and are used for
counting, adding,
subtracting, etc .
Chapter 6. Sets and
subsets 108
Since sets, subsets, and
Boolean algebra satisfy
the same laws (that is,
have similar properties),
we will discuss sets and
subsets. as a means of
introducing Boolean
algebra .
Chapter 7. Boolean
algebra 122
The father of Boolean
algebra was George Boole,
who was an English
logician and
mathematician.
---Boolean algebra is
that algebra which is
based on Boolean logic
and concerned with all
elements having only two
possible stable states
and no unstable states .
---Boolean algebra has
now become an important
subject to be learned in
order to understand
electronic computer
circuits .
Chapter 8. Boolean
simplification 142
This chapter will be
devoted toward
understanding how output
expressions may be
simplified by various
methods. By proper
application of
simplification techniques
the systems designer can
be sure a circuit is in
its simplest algebraic
form .
Chapter 9. Matrices
and determinants 162
While matrix theory,
developed in 1858, has
many diverse
applications, we will
direct our discussion
toward terms of linear
equations .
Index 178
Assignment Questions
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