Experiment with the Spreadsheet
Perfect Shuffling of a Deck of Cards
Bernoulli's Method
Approximation of a root of x
^{3}
- ax - b = 0, a > 0, b > 0
Pascal Triangle
Pascal Triangle
Pascal's Triangle Extended Upward
Number of "walks"
Expansion
of (1+x+x
^{2}
)
^{n}
Chebyshev Polynomials
Chebyshev Polynomials T
_{n}
Chebyshev Polynomials U
_{n}
C
_{n}
in terms of x
^{n}
2*(x/2)
^{n}
as linear combination of T
_{n}
Shifted Chebyshev Polynomials T
_{k}
*
Shifted Chebyshev Polynomials U
_{k}
*
S
_{n}
in terms of x
^{n}
Coefficients of x
^{n}
in terms of Chebyshev Polynomials U
_{n}
x
^{n}
in Terms of the Derivatives of the Chebyshev Polynomials
tan(nx) as the rational function of tan(x)
Polynomials
Polynomial Division
Polynomial Expansion in Powers of x + a
Generalized Horner's Method
Interpolation--Aitken's Method
Indefinite Integral of exp(x)*x
^{n}
Successive Derivatives
special case
general case
n-th derivative of sec x
Decimal, Integer Expansions
2 to the power n
2 to the power n, n negative
One-Formula
Gnome
Entire Function that Enumerates the Lattice Points
Fibonacci Sequence in a Permutation Group
Powers of a Generating Element of C
_{61}
Grey Code
Stirling Numbers
Stirling Triangle for Cycles
Stirling Triangle for Subsets
Euler's Triangle
Second Order Eulerian Triangle
The number of partitions of the integer n having h as the smallest part
Magic Square
Magic Square, the Usual Method
Magic Square, the Second Method
Magic Square, Another Method
Magic Square of Order 8
Catalan Numbers
Catalan Numbers
Simplest way to generate the Catalan numbers
Another way of generating the Catalan Numbers
Matrices
Calculation of the Characteristic Polynomial and the Adjoint Matrix at the Same Time Leverrier-Souriau-Frame-Faddeev Method
An Application of Cayley-Hamilton Theorem
Trace of the nth power of a 2-by-2 matrix
Best approximation of a matrix by a rank 1 matrix
Routh's Criterion
Expanding exp(x) into a Continued Fraction
Reciprocal Differences
z-transform of n
^{k}
Newton's Formula for Power Sums of Roots
Sums of the n-th Powers of Zeros of a Cubic Equation
Product of Cyclic Groups is Cyclic
Z
_{9}
x Z
_{7}
isomorphic to Z
_{63}
Partial Fraction Expansion
Sequence of Period 9
Wilson's Theorem
rm + sn = 1
Universal Test for Divisibility
Combinations of 4 objects from 7 objects
Counting the Same Thing in Two Different Ways
An Algebraic Identity
Sum of the Odd Terms
Vedic Sutras Method
1/19, the first method
1/19, the second method
1/29, the first method
1/29, the second method
1/49, the first method
1/49, the second method
Drawing with the Spreadsheet
Velocity Field Along a Circle
Velocity Field Along Figure-8
Ellipse
Ellipse and its Involute
Caustic
Optical Property of the Parabola
Caustic Formed by parallel Rays upon a Semi-Circular Mirror
Caustic Formed by Rays upon a Circular Mirror -- Source on the Mirror
Cylinder Inside a Hemisphere
Hypocycloid
A cycloidic curve
Deltoid Enveloped by Line Segments
Diameter of a Rolling Circle
Trace of a Fixed Diameter of a Rolling Circle
Trace of a Fixed Diameter of a Circle Rolling along a Line
Bezier Curve
Heart
Hex
Hex (2)
Hex (3)
Fractal
C Curve
Hilbert Curve
Cantor Function
Chaos
Rotating a Cube about its Main Daigonal
Helix
Spiral
Bipartite Graph
Graph Associated with a Pair of Relatively Prime Numbers
Powers of 3 mod 293
Intersection of two identical cylinders with axes orthogonal
Sections of a Cone
Rotation of a Cube
Moebius Band
Hyperbolic Paraboloid
Another Construction
Hyperboloid of One Sheet
Squares Erected from a Parabola
A Solid Figure
Developable Surface
Paper Folding
Formation of Parabola by Paper Folding
Formation of Hyperbola by Paper Folding
Line segments the sum of whose distance to two fixed points is constant
A Problem of Davis
Impossible Figure
Impossible Triangle
Net
Parabolic + Circular Motion
Random Walk
Reflections Inside a Rectangle
Uses of the Spreadsheet in Numerical Analysis
Learning Mathematics with the Spreadsheet, Birmingham, 1993
Uses of Spreadsheets in Mathematics Learning
Internet Resource
Spreadsheets, Mathematics, Science, and Statistics Education