Here is a listing of my mathematica notebooks. The most recent of any of these notebooks can all be obtained from my github Mathematica repository.

The Wolfram CDF player can also be used to view a number of these notebooks after download.

- Dec 18, 2016 GAelectrodynamics/projectionAndRejectionDiagram.nb
Figure illustrating projection and rejection.

- Dec 19, 2016 GAelectrodynamics/oneParameterDifferentialFig.nb
One parameter differential figure.

- Dec 20, 2016 GAelectrodynamics/twoParameterDifferentialFig.nb
Two parameter differential figure.

- Aug 10, 2017 GAelectrodynamics/orientedAreasVarietyFigures.nb
Oriented areas of different shapes representing bivectors.

- Sep 26, 2017 GAelectrodynamics/parallelograms.nb
Overlapping parallelograms with fixed areas. Figure: parrallelogramsFig1.eps.

- Sep 26, 2017 GAelectrodynamics/parallelogram.nb
This is the notebook for two rotation figures. One is for a rotation of a vector lying in a plane (but that plane is viewed from a 3D vantage point), and the other is for a rotation with respect to a plane through an angle, and applied to a vector out of the plane.

- Oct 23, 2017 GAelectrodynamics/circularLineChargeDensity.nb
Some messy evaluation of integrals that end up expressed in terms of elliptic E() and F() functions. Was associated with the evaluation of the charge of a circular segment of line charge.

- Oct 23, 2017 GAelectrodynamics/LineChargeIntegralsAndFigure.nb
Integrals for Line charge problem, including some of the special angle cases that seem to require separate evaluation. Also has a plot linechargeFig1.eps, and some plots (not in the book) of the integrands.

- Nov 2, 2017 GAelectrodynamics/lineChargeArcFigure.nb
Figure for circular arc of line charge. One arc of charge on the x-y plane at a fixed radius. Field point, azimuthal angles for the range of the line charge.

- Nov 19, 2017 GAelectrodynamics/zcapPotential.nb
Figure for (magnetic) vector potential: vectorPotentialFig1.eps.

- Nov 19, 2017 GAelectrodynamics/gaToroid.nb
Cool toroidal segment figure for the book. toroidFig1.eps

- Nov 19, 2017 GAelectrodynamics/pillboxIntegrationVolumeFig1.nb
This is the figure for pillbox integration volume that was used in the boundary value analysis of Maxwell's equations.

- Nov 23, 2017 GAelectrodynamics/circularBasisCoordinatesInTermsOfJonesVector.nb
Verify hand calculation from polarization.tex (also set as a problem). Got my hand calculation wrong. Try this with Mathematica instead. Has some additional checking of the solution.

- Nov 23, 2017 GAelectrodynamics/ellipticalPolarizationFig1.nb
A plot of a rotated ellipse showing the major and minor axes, and the angle of rotation. This was related to an elliptically polarized plane wave.

- Nov 23, 2017 GAelectrodynamics/linearPolarizationFig1.nb
Figure (linearPolarizationFig1.eps) showing the electric and magnetic field directions for a linearly polarized field propagating at a fixed angle to the horizontal in the transverse plane.

- Nov 24, 2017 GAelectrodynamics/pseudoscalarPolarizedRelationtoJones.nb
Jones vector related calculations for GA representation of plane wave.

- Nov 28, 2017 GAelectrodynamics/vectorOrientationAndAdditionFigures.nb
Vector addition and vector (and scalar) sign figures: VectorsWithOppositeOrientationFig1.eps, vectorAdditionFig1.eps, scalarOrientationFig1.eps.

- Dec 3, 2017 GAelectrodynamics/ellipticalPolarizationEnergyMomentumSimplification.nb
Hyperbolic cosine and arctan double angle reductions. Probably for cosh parameterization of an ellipse.

- Dec 3, 2017 GAelectrodynamics/amperesLawMultiplePoints.nb
Figure for amperesLawBetweenTwoCurrents.eps. Circles surrounding two currents, with respective phicap vectors around those sources.

- Dec 5, 2017 GAelectrodynamics/stressEnergyTensorValues.nb
Uses my GA30.m package to compute the values of the energy momentum tensor multivectors, and relate those to the conventional tensor description of the same. Calculates the expansion of the adjoint of the energy momentum tensor, and also the expansion of some of the adjoint energy momentum tensor terms for the Poynting vector.

- Dec 13, 2017 GAelectrodynamics/planeCurrentIntegrals.nb
Simple integrals for plane current distributions.

- Dec 14, 2017 GAelectrodynamics/ringIntegral2.nb
Elliptic integrals for charge and current distribution on a ring.

- Dec 14, 2017 GAelectrodynamics/currentRingIntegrals.nb
Some integrals related to circular current/charge distributions. A Manipulate that plots the magnitude of one of the integrands. A plot (chargeAndCurrentOnRingFig1.eps) that shows the geometric of the current ring and coordinate system used to solve or express the problem.

- Dec 17, 2017 GAelectrodynamics/cylinderFieldIntegrals.nb
Symbolic evaluation of integrals for a cylindrical field distribution of finite and infinite length.

- Dec 17, 2017 GAelectrodynamics/ringFieldEllipticIntegralEquivalents.nb
This notebook has transformation techniques to translate a couple of circular charge distribution integrals into their elliptic integral form. It also has plots of some of the electric and magnetic fields obtained from solving one such problem.

- Jan 24, 2018 GAelectrodynamics/stressTensorSymmetricDemo.nb
A CliffordBasic calculation of the strain portion of the stress tensor, and an explicit demonstration that it is symmetric.

- Jan 28, 2018 GAelectrodynamics/exponentialFormOfVectorProductInR3.nb
A somewhat random seeming complex exponential evaluation using CliffordBasic, and an R3 bivector argument.

- Jan 28, 2018 GAelectrodynamics/exponentialFormOfVectorProductInR2.nb
Some R2 complex exponential calculations using CliffordBasic.

- Jan 28, 2018 GAelectrodynamics/compositionOfExponentials.nb
This is a figure that has an equilateral triangle in the corner of the first quadrant. This was used to illustrate that the product of two complex exponentials is another complex exponential (in R3), but the bivector argument for that resulting exponential describes (in general) a different plane.

- Jan 29, 2018 GAelectrodynamics/radialVectorCylindricalFig1.nb
Figure: radialVectorCylindricalFig1.eps. Notebook uses a dynamic (Manipulate) to generate the figure at a desirable angle and radius.

- Feb 1, 2018 GAelectrodynamics/dualityInR3Fig1.nb
Figure (dualityInR3Fig1.eps) showing the R3 dual plane to a vector graphically. The scaling of the dual plane was only for illustration purposes and did not match the length of the vector.

- Feb 3, 2018 GAelectrodynamics/factorizationProblemVerification.nb
Verify answers for normal factorization problem. 2.16

- Feb 3, 2018 GAelectrodynamics/bivectorFactorizationFigures.nb
Figures that illustrate two rectangular factorizations of a bivector in R3.

- Feb 5, 2018 GAelectrodynamics/neighbourhoodFig1.nb
A nice little figure illustrating an infinitesimal neighbourhood around a given point. This was used as a figure in the somewhat tedious verification of a Green's function, done in one of the appendixes.

- Feb 14, 2018 GAelectrodynamics/FourierTransformMathematicaParamsExploration.nb
The purpose of this notebook is to show (i.e. decode) the meaning visually of the various Mathematica FourierTransform FourierParameters options available. Shows all the conventions (modern physics, pure math, signal processing, classical physics).

- Feb 20, 2018 GAelectrodynamics/ellipticalContoursFigures.nb
Hyperbolic parameterization of an ellipse, and contours for the associated curvilinear coordinates. ellipticalContoursFig1.eps, and ellipticalContoursFig1.eps figures.

- Feb 22, 2018 GAelectrodynamics/2dmanifoldPlot.nb
Figure: 2dmanifoldFig1.eps. CliffordBasic calculation of the basis elements above and the area element. Same calculation using my GA30.m package. Generation of mmacell text for the book showing the input and output cells for the CliffordBasic calculation.

- Feb 24, 2018 GAelectrodynamics/reciprocalBasicCalculationFromFigure.nb
Reciprocal basis computation with conventional vector algebra. Same calculation using bivectors. Display the cells for the book latex.

- Feb 24, 2018 GAelectrodynamics/linearSystemR4.nb
A CliffordBasic solution to an R4 linear system a x + b y = c, using wedge products to solve. Also includes mmacell output to embed the solution in the book as Mathematica input and output.

- Feb 24, 2018 GAelectrodynamics/reflectionFigureGAcalculation.nb
CliffordBasic calculations for Figure 1.20 reflection (reflectionFig1.eps), but not the figure itself. Also has mmacell output for the input and output cells for this calculation.

- Feb 24, 2018 GAelectrodynamics/curvilinearPolarFig1.nb
Plot (curvilinearPolarFig1.eps) that shows a 2d vector in polar coordinates, the radial vector, and the angle relative to the horizon.

- Feb 25, 2018 GAelectrodynamics/sphericalPolar.nb
Spherical polar basis and volume element. Calcuation of the curvilinear basis elements done with conventional vector algebra, and CliffordBasic. Also includes mmacell output for the book.

- Feb 28, 2018 GAelectrodynamics/orientedAreas.nb
Bivector square and parallelogram figures, Figures for 90 degree rotations. Figure for line intersection. Figure for vector addition, showing scaled multiples of orthonormal bases elements.

- Feb 28, 2018 GAelectrodynamics/unitBivectorsFig.nb
Unit bivectors figures in R3. unitBivectorsFig1.eps, unitBivectorsFig2.eps.

- Feb 28, 2018 GAelectrodynamics/bivectorAddition.nb
Pictoral addition of different size and shape bivectors.

- Feb 28, 2018 GAelectrodynamics/unitBivectorAreaRepresentationsFig.nb
A figure that shows different shape representations of unit bivectors in R2. Includes parallelogram, square, circle and ellipse representations. Also includes inscribed arc to show the orientation of the bivectors. That was done using Arrow in combination with BSplineCurve, where the points on the curve come from evaluating CirclePoints.

- Feb 28, 2018 GAelectrodynamics/circularBivectorsIn3DFig1.nb
This is the notebook for a few bivector related illustrations. The first is two circular representations of a bivector viewed from a 3D vantage point. Another is a bivector addition figure, with two bivectors summed in 3D. That figure was confusing (but cool), and has been left out of the book. The last figure separates the space between those bivectors summed in the second figure showing the summands and the sum all distinct. The current draft of the book includes this figure, but it is still a bit confusing.

- Apr 2, 2018 GAelectrodynamics/polarizationCircular.nb
A hand calculation seemed to show that I had the wrong expressions for alphaL, alphaR in my polarization notes. Here's a check of the correction of those expressions

- Jul 26, 2018 GAelectrodynamics/sphericalPolarGA30.nb
Uses geometric algebra to calculate the spherical polar position vector, and then take derivatives to find the trivector volume element (Jacobian).

- Feb 2, 2019 GAelectrodynamics/obliqueReciprocal.nb
figure in reciprocal.tex

- Feb 10, 2019 GAelectrodynamics/bivectorAdditionIllustrated3D.nb
This is a graphical illustration of bivector addition, connecting the normals of the bivectors head to tail like vector addition. The magnitudes of the bivectors are represented by the unit normals scaled by the area of the bivector representations. The notebook includes a Manipulate expression that can be used to interactively examine the effect of changing the size of each of the summed bivectors.