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Introductory engineering mathematics
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Description
Rating
Title
Introductory
engineering
mathematics
Creator
Reeping, David
Reid, Kenneth
Description
1st ed.
DescriptionAbstract
This
text
serves
as a
concise
introduction
to the
ocean
of
information
collectively
known
as "
Engineering
Mathematics.
"
Admittedly
,
compiling
everything
into a
short
book
that
is
useful
to any
audience
is
an
impossible
task
;
therefore
,
we
picked
a
few
main
ideas
holding
up
the
mathematics
within
the
engineering
curriculum
instead
of
stuffing
all
of the
details
into
such
a
small
package
.
Our
strategy
in
writing
this
text
was to
address
conceptual
understanding
as
often
as
possible
; the
informal
"
meet
and
greets
" with
common
mathematical
objects
are
intended
to
provide
an
intuitive
basis
for the
formalized
study
within
an
engineering
or
mathematics
course
. The
intent
is
to
present
mathematics
as a
useful
tool
within
engineering
without
becoming
too
bogged
down
with
formalities
;
therefore
,
we
do
not
provide
rigorous
proofs
of
major
theorems
.
Similarly
,
we
will
refer
to a
particular
field
for
additional
information
if
desired
whenever
a
topic
is
beyond
the
scope
of the
text
.
We
do
assume
a
level
of
mathematical
maturity
that
amounts
to
high
school
Algebra
.
Whether
you
are a
math
or
science
instructor
tasked
to
teach
an
engineering
class
, a
high
school
student
looking
into
engineering
, or an
engineering
student
already
,
we
hope
you
are
able
to
walk
away
from this
text
with
tangible
outcomesmaybe
even
a
refined
perspective
on the
subject
.
DescriptionTable Of Contents
1
.
Motivation
for
engineering
mathematics

1.1
Abstraction
in
engineering

1.2
Engineering
systems
as a
starting
point
2
.
Solving
common
engineering
problems

2.1
Choice
of
coordinate
systems

2.1.1
Rectangular
coordinates

2.1.1.1
Moving
to a
third
dimension

2.1.2
Polar
coordinates

2.1.3
Vectors

2.1.3.1
Vector
addition
and
subtraction

2.1.3.2
Vector
multiplication

2.1.4
Manipulating
space

2.1.5
Complex
numbers

2.2
Graphical
relationships

angles

2.2.1
Useful
angle
theorems

2.2.2
Ideas
in
trigonometry

2.2.2.1
Laws
of
sines
and
cosines
3
.
Employing
functions

3.1
Relations
to
functions

3.1.1
Composition

3.1.2
Inverse
functions

3.2
Fitting
data

3.3
Locating
roots
of a
function

3.3.1
Locating
roots
within
a
tolerance
, or "
getting
close
enough
"

3.4
Functional
behavior
4
.
Using
calculus
to
solve
problems

4.1
Differential
calculus

4.2
Integral
calculus
5
.
Inputs
and
outputs

5.1
Classifications

5.2
Common
manipulations

5.3
Special
inputs

5.3.1
Heaviside
unit
step
, the
step
function

5.3.2
Dirac's
Delta
function
: the
impulse
function

5.4
Inputs
in
terms
of an
infinite
series

5.4.1
Power
series

5.4.2
Fourier
series
6
.
Engineering
systems

6.1
A
summary
and
where
to
go
from here

Index
.
Publisher
Momentum Press
Subject
Engineering mathematics
Identifier (Full text)
http://portal.igpublish.com/iglibrary/search/MPB0000300.html
ISBN
9781606509104
(electronic)
;
9781606509098
(print)
Language
eng
Type
Text
FormatExtent
1 online resource (xiv, 171 p.)
Date
2017
RelationIs Part Of
General engineering and K12 engineering education collection
Purchased by
Puey Ungphakorn Library, Rangsit Campus
OCLC number
1019248786
CONTENTdm number
17348
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