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Mathematics for physical chemistry
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Description
Rating
Title
Mathematics
for
physical
chemistry
Creator
Mortimer, Robert G.
Description
4th ed.
DescriptionAbstract
Principal
Facts
and
Ideas
.
Problem
solving
is
the
principal
tool
for
learning
physical
chemistry
.
Problem
solving
can
be
approached
in a
systematic
way
.
Many
problems
involve
numerical
calculations
involving
measurable
quantities
. A
measured
quantity
consists
of a
number
and a
unit
of
measurement
. The
SI
units
have been
officially
adopted
by
international
organizations
of
physicists
and
chemists
.
Consistent
units
must
be
used
in any
calculation
. The
factorlabel
method
can
be
used
to
convert
from
one
unit
of
measurement
to
another
.
Reported
values
of
all
quantities
should be
rounded
so
that
insignifi
cant
digits
are not
reported
.
Objectives
After
you
have
studied
the
chapter
,
you
should be
able
to:
analyze
a
problem
and
design
a
procedure
for
solving
the
problem
;
4
1
.
Problem
Solving
and
Numerical
Mathematics
carry
out
the
numerical
procedures
use
in
solving
a
simple
problem
;
use
numbers
and
units
correctly
to
express
measured
quantities
;
understand
the
relationship
of
uncertainties
in
measurements
to the
use
of
significant
digits
;
use
consistent
units
,
especially
the
SI
units
, in
equations
and
formulas
;
use
the
factorlabel
method
to
convert
from
one
unit
of
measurement
to
another
.
1.1
Problem
Solving
Techniques
of
problem
solving
are
applicable
to
many
intellectual
areas
. There
is
a
useful
little
book
on
problem
solving
by
G
.
Polya
,
1
and
much
of
our
discussion
of
problem
solving
is
based
on this
book
.
Most
physical
chemistry
problems
are
stated
verbally
,
like
the
socalled
'
word
problems
' of
elementary
school
. The
information
contained
in the
statement
of the
problem
generally
includes
a
statement
of the
physical
system
involved
,
some
information
about
the
state
of the
system
, and a
statement
of the
desired
outcome
Provided
by
publisher
.
DescriptionTable Of Contents
1
Problem
Solving
and
Numerical
Mathematics
;
1.1
Problem
Solving
;
1.2
Numbers
and
Measurements
;
1.3
Numerical
Mathematical
Operations
;
1.3.1
Binary
Arithmetic
Operations
;
1.3.2
Additional
Numerical
Operations
;
1.4
Units
of
Measurement
;
1.5
The
FactorLabel
Method
;
1.6
Measurements
,
Accuracy
, and
Significant
Digits
;
1.6.1
Scientific
Notation
;
1.6.2
Rounding
;
1.6.3
Significant
Digits
in a
Calculated
Quantity
;
2
Mathematical
Functions
;
2.1
Mathematical
Functions
in
Physical
Chemistry
;
2.1.1
Functions
in
Thermodynamics.
;
2.1.2
Functions
in
Quantum
Mechanics2.1.3
Function
Notation
;
2.1.4
Continuity
;
2.1.5
Graphs
of
Functions
;
2.2
Important
Families
of
Functions
;
2.2.1
Linear
Functions
;
2.2.2
Quadratic
Functions
;
2.2.3
Cubic
Functions
;
2.2.4
Logarithms
;
2.2.5
Exponentials
;
2.2.6
Trigonometric
Functions
;
2.2.7
Inverse
Trigonometric
Functions
;
2.2.8
Hyperbolic
Trigonometric
Functions
;
2.2.9
Significant
Digits
in
Logarithms
,
Exponentials
, and
Trigonometric
Functions
;
2.3
Generating
Approximate
Graphs
;
3
Problem
Solving
and
Symbolic
Mathematics
:
Algebra
;
3.1
The
Algebra
of
Real
Scalar
Variables.
;
3.2
Coordinate
Systems
in
Two
Dimensions3.3
Coordinate
Systems
in
Three
Dimensions
;
3.3.1
Cartesian
Coordinates
;
3.3.2
Spherical
Polar
Coordinates
;
3.3.3
Cylindrical
Polar
Coordinates
;
3.4
Imaginary
and
Complex
Numbers
;
3.4.1
Mathematical
Operations
with
Complex
Numbers
;
3.4.2
The
Argand
Diagram
;
3.4.3
The
Complex
Conjugate
;
3.4.4
The
Magnitude
of a
Complex
Quantity
;
3.4.5
Roots
of a
Complex
Number
;
3.5
Problem
Solving
and
Symbolic
Mathematics
;
4
Vectors
and
Vector
Algebra
;
4.1
Vectors
in
Two
Dimensions
;
4.1.1
The
Sum
and
Difference
of
Two
Vectors
;
4.1.2
The
Product
of a
Vector
and a
Scalar.
;
4.1.3
Unit
Vectors4.1.4
The
Scalar
Product
of
Two
Vectors
;
4.1.5
The
Magnitude
of a
Vector
;
4.2
Vectors
in
Three
Dimensions
;
4.2.1
Unit
Vectors
in
Three
Dimensions
;
4.2.2
The
Magnitude
of a
Vector
;
4.2.3
The
Sum
and
Difference
of
Two
Vectors
;
4.2.4
The
Product
of a
Scalar
and a
Vector
;
4.2.5
The
Scalar
Product
of
Two
Vectors
;
4.2.6
The
Vector
Product
of
Two
Vectors
;
4.3
Physical
Examples
of
Vector
Products
;
4.3.1
Magnetic
Force
;
4.3.2
Electrostatic
Force
;
4.3.3
Angular
Momentum
;
5
Problem
Solving
and the
Solution
of
Algebraic
Equations.
;
5.1
Algebraic
Methods
for
Solving
One
Equation
with
One
Unknown5.1.1
Polynomial
Equations
;
5.1.2
Approximate
Solutions
to
Equations
;
5.2
Numerical
Solution
of
Algebraic
Equations
;
5.2.1
Graphical
Solution
of
Algebraic
Equations
;
5.2.2
Trial
and
Error
;
5.2.3
The
Method
of
Bisection
;
5.2.4
Solving
Equations
Numerically
with
Excel
;
5.3
A
Brief
Introduction
to
Mathematica
;
5.3.1
Numerical
Calculations
with
Mathematica
;
5.3.2
Symbolic
Algebra
with
Mathematica
;
5.3.3
Solving
Equations
with
Mathematica
;
5.3.4
Graphing
with
Mathematica
;
5.4
Simultaneous
Equations
:
Two
Equations
with
Two
Unknowns
;
5.4.1
The
Method
of
Substitution
.
Publisher
Amsterdam Press, Elsevier
Subject
Chemistry, Physical and theoretical  Mathematics
Identifier (Full text)
http://www.sciencedirect.com/science/book/9780124158092
ISBN
9780123978455
(electronic
bk.)
;
0123978459
(electronic
bk.)
;
9780124158092
;
0124158099
Language
eng
Type
Text
FormatExtent
1 online resource (xi, 247 p.)
Date
2013
Purchased by
Puey Ungphakorn Library, Rangsit Campus
OCLC number
982135814
CONTENTdm number
14764
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