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I got myself one of them Kindle 3 things.
Having spent 15 years writing on financial stuff, I decided to convert some to an eBook format -- for the Kindle.
I tried to delete links to Internet web sites and massage the format a mite so it'd look respectable on the Kindle.
Sometimes I succeeded ... and sometimes not.
Sometimes there are vague references to spreadsheets
The collection of Excel spreadsheets is here.
There's also a partial list here.
Nevertheless, I reckon they're (sort of) readable.
The Kindle 3 is grayscale -- yet many diagrams are meant to be in colour, eh?
So ya gotta use yer imagination.
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Here's a list of what's available (as of August 30, 2010).
Note: Click on the to see the Internet version:
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P.S.
On the kindle, Landscape mode is (probably) best.
|  Portrait mode |  Landscape mode |
I've written a few novels,
some finished, some "in progress".
Since eBooks have become such a big thing, I figured I should make mine available(in .prc format)
so (hopefully?) they can be read by eBook readers.
Anyway, the ones that are finished are here (in ebook format):
The ones that are incomplete are here:
I've also written a few things that piqued my interest and thought that others might enjoy 'em.
They're here (in ebook format) -- click on the to see the Internet version:
Then there's:
And this:
Okay, a few lectures on the Calculus, in pdf format. Just download 'em as is (with a right-click). Kindle will read 'em.
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TABLE OF CONTENTS 1 & 2
EXAMPLE PROBLEMS
ASSORTED PROBLEMS
LECTURE 0
SOME BASICS
NUMBERS ... and INFINITY
5/0 is NOT a number
Infinity is NOT a number
INEQUALITIES
FUNCTIONS
vertical line test
functions and their domain
ABSOLUTE VALUES
To plot y = | f(x) |
SOME TRIG IDENTITIES
the RADIAN measure of an angle
SOME TRIG GRAPHS
SOME GEOMETRY
LOGARITHMS and EXPONENTIALS
exponential functions
logarithmic function
ODDS 'n' ENDS
geometric series
SIGMA NOTATION
MAPLE
LECTURE 1
LIMITS
LIMIT RULES
ONE SIDED LIMITS
LECTURE 2
INFINITE LIMITS
ASYMPTOTES
CONTINUOUS FUNCTIONS
LECTURE 3
TECHNIQUES FOR EVALUATING LIMITS WHEN THE "RULES" DON'T
APPLY
The form infinity/infinity
The form infinity - infinity
The form ??
Reduce the given limit to one you know
to make tea
the SQUEEZE THEOREM
the graph of y = f(x) sin x
LECTURE 4
the DERIVATIVE
DIFFERENTIATION RULES
the CHAIN RULE
HIGHER DERIVATIVES
concave up
concave down
the Logistic Equation
velocity
acceleration
LECTURE 5
IMPLICIT DIFFERENTIATION & TRANSCENDENTAL FUNCTIONS
IMPLICIT DIFFERENTIATION
the slope at a point (x,y)
greatest integer function
trig, exponential and log functions
weird limits
the TRIG FUNCTIONS and their derivatives
the EXPONENTIAL and LOG functions
ln x
LECTURE 6
INVERSE FUNCTIONS
horizontal line test
TESTING TO SEE IF A FUNCTION HAS AN INVERSE
Examples of Inverses
the Derivative of an Exponential Function
LOGARITHMIC DIFFERENTIATION
About Exponential Growth
About the number e
ODDS 'n' ENDS ON CURVE SKETCHING
Even and Odd Functions
Quick&Dirty Curve Sketching
LECTURE 7
MORE ON INVERSE FUNCTIONS
the INVERSE TANGENT
the INVERSE SINE
restricting the domain
Check the dimensions
the limit of ??
y = sin x with x in DEGREES
LECTURE 8
ABSOLUTE MAXIMUM AND MINIMUM
closed interval
critical point
RELATIVE MAXIMA and MINIMA
First Derivative Test
give it a name and use it!
Snell's law
LECTURE 9
RELATED RATE PROBLEMS
LECTURE 10
The TANGENT LINE APPROXIMATION
Rule of 72
POLYNOMIAL APPROXIMATIONS
quadratic approximation
cubic approximation
quartic approximation
"best" linear approximation
LECTURE 11
NEWTON'S METHOD for finding roots
a computer algebra system
The error goes to zero!
What is the annual rate of return from this mutual fund?
a computer spreadsheet
DIFFICULTIES WITH NEWTON'S METHOD
Pick a reasonable value for x1
LECTURE 12
L'HÔPITAL'S RULE
the form 0/0
the infinity/infinity form
Interpretation of a Limiting Value
LECTURE 13
POLAR COORDINATES
a distance and a direction
polar curves
y2 = f(x)
INTERSECTION OF POLAR CURVES
End of Calculus 1
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LECTURE 14
the AREA UNDER A CURVE
the SUM of rectangles
the DEFINITE INTEGRAL
a Riemann SUM
PROPERTIES of the DEFINITE INTEGRAL
THE FUNDAMENTAL THEOREM
the "area function"
an ANTIDERIVATIVE
constant of integration
LECTURE 15
DEFINITE INTEGRATION
"negative" areas
elemental areas
47,000,000 elemental rectangles
The error in area
LECTURE 16
AREAS IN POLAR COORDINATES
AREA SWEPT OUT BY THE RADIUS
this "swept out" business. Sounds like a broom
check it for reasonableness
LECTURE 17
TECHNIQUES OF INTEGRATION
THE METHOD OF SUBSTITUTION
"next to dx"
integration is an ART
Heaviside calculus
Shift Theorem
INTEGRATION BY PARTS
who's u and who's v
the Ponzo function
the lower limit
the upper limit
LECTURE 18
VOLUMES
cut the solid into many very thin slices
Volume of a cylinder
Volume of a cone
VOLUMES OF SOLIDS OF REVOLUTION
the volume of a sphere
the volume of a torus
make a reasonable diagram
the centre of area
THE THEOREM OF PAPPUS
the CENTROID
The centroid of a triangle
LECTURE 19
Volumes of solids of revolution using horizontal rectangles
a cylindrical shell
the volume of a "disc"
guess who's the student?
distance travelled
whatzits per doodle
The total work
digging a well
cost of manufacturing
a reasonable approximation
AVERAGE VALUE OF A FUNCTION
an average temperature
the "average height"
average velocity
A PARADOX
LECTURE 20
IMPROPER INTEGRALS
DEFINITION of an IMPROPER INTEGRAL
f(x) must approach zero very rapidly
Another Kind of Improper Integral
f(x) must get small enough fast enough
SOLUTIONS TO "ASSORTED PROBLEMS"
End of Calculus 2
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TABLE OF CONTENTS 3 & 4
EXAMPLE PROBLEMS
ASSORTED PROBLEMS
LECTURE 1
INTRODUCTION TO DIFFERENTIAL EQUATIONS
POPULATION GROWTH
Logistic Equation
The World's Simplest DE
velocity and position
SEPARABLE DIFFERENTIAL EQUATIONS
population of a species
a certain species of clam
LECTURE 2
MORE ON DIFFERENTIAL EQUATIONS
a Little Partial Fractions
A spherical mothball
population of clams
EXPONENTIAL DECAY
An Egyptian scroll
the half-life
Newton's Law of Cooling
LECTURE 3
MORE ON DIFFERENTIAL EQUATIONS
Direction of Solutions
following the direction
the DE PORTRAIT
LINEAR FIRST ORDER DEs
INTEGRATING FACTOR
the temperature of the object
a nice trig identity!
LECTURE 4
SEQUENCES AND SERIES
Sequences
PARTIAL SUMS
SERIES
the HARMONIC SERIES
LECTURE 5
CONVERGENCE of SERIES
A Test for Convergence of an Infinite Series
series where every term is positive
the nth term test
LECTURE 6
ALTERNATING SERIES and ABSOLUTE CONVERGENCE
ALTERNATING SERIES
the terms must get smaller fast!
the Alternating Harmonic Series
"decrease to zero" means two things
Estimating the Sum of a Convergent Alternating Series
ABSOLUTE CONVERGENCE
LECTURE 7
TAYLOR POLYNOMIALS and TAYLOR SERIES
TAYLOR POLYNOMIALS
LECTURE 8
INFINITE POWER SERIES
TAYLOR SERIES
the RATIO TEST
RADIUS OF CONVERGENCE
Maclaurin Series
POWER SERIES
LECTURE 9
MORE ON SERIES
Estimating the Sum of an Alternating Taylor Series
the error is less than the first neglected term
magic of brackets
Estimating the Sum of "Other" Taylor Series
LECTURE 10
CURVES and PARAMETRIC EQUATIONS
Plotting Parametric Curves
Slope of the Tangent Line to a Parametric Curve
think of the parameter "t" as time
the velocity vector
LECTURE 11
MORE ON PARAMETRIC REPRESENTATION OF CURVES
the Tangent and Position Vectors
the derivative of a vector
Length of a Curve
End of Calculus 3
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LECTURE 12
SOME APPLICATIONS
Polar Curves, revisited
TRAPEZOIDAL RULE
the CYCLOID
xxxx
the Straight Line
that terrible curve
an Astroid
LECTURE 13
FUNCTIONS OF TWO VARIABLES
LEVEL CURVES
an Orthogonal Trajectory
3 Dimensional Surfaces
a cylinder, one variable is missing
Revolving 2-D Curves to get 3-D Surfaces
LECTURE 14
DERIVATIVES OF FUNCTIONS OF TWO VARIABLES
the PARTIAL DERIVATIVE
pressure of a gas
A square box
The profit per hat
HIGHER PARTIAL DERIVATIVES
LECTURE 15
DIRECTIONAL DERIVATIVES
LEVEL CURVES again
The density of ants
In what direction
The temperature of a plate
LECTURE 16
the GRADIENT
VECTORS
unit vectors
Direction Cosines
the gradient vector
Is that an accident?
A little More About Vectors
the DOT Product
the angle between vectors
If P•Q = 0 then they must be perpendicular
LECTURE 17
more on the GRADIENT, and the CHAIN RULES
The distribution of a certain type of plant
let do it
the CHAIN RULES
this dimensional stuff
LECTURE 18
another CHAIN RULE
thermodynamics is cover-to-cover partial derivatives
a COLLECTION of CHAIN RULES
Directional Derivatives, revisited
Implicit Differentiation, revisited
the GRADIENT vector is normal to the level curve
LECTURE 19
the TANGENT PLANE
LECTURE 20
OPTIMIZATION
Least Squares Fit
SOLUTIONS TO "ASSORTED PROBLEMS"
End of Calculus 4
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