Mathematica Essentials (beta) by

R@JHM an authorized and very dedicated reseller of Mathematica ;-)

Functional Symbolic and Object Programming

The most versatile language allowing 15+ programming paradigms

beyond Excel, and python and enjoy the power and range of symbolics

References

• Wolfram Student Edition Intro Page >>
• Elementary Introduction to Wolfram Language (Stephen Wolfram) >>
• Wolfram Language Documentation >>

Demonstrations

• Everyday >> Meteorlogy >> Architecture >> Geography >> Linguistics >>
• Calculus >> Geometry>>
• Physics >>
• Classical>>, Quantum>>, Physical Chemistry>> Stat Mech>>
• Visualization>>

Arithmetics

• +,-,*,/
• Plus[], Subtract[], Times[], Divide[], Power[], Max[], Min[], RandomInteger[]

Types:

Real, Integer, String, Boolean, DateObject, Entities, Objects(Graphics, Images, Sound, Dataset,  TimeSeries, …)

Trig, Algebra, Matrix and Diff EQ

Charts, Fit, Regression and Machine Learning

ListLinePlot[{}], BarChart[], PieChart[], NumberLinePlot[], Column[], ContourPlot[], DensityPlot[]

EIWL Displaying lists >>

• Show[],Grid[], GraphicsGrid[], Row[],TableForm[], MatrixForm[]
• Fit[], FindFit[]
• Classify[]
• MorphologicalSegmentation[]

Data, Entities, Statistics

• List[]={}, ListPlot[], Range[], Reverse[{a,b,c…}], Join[{stringA},{stringB}]
• Rules[], Edges[],Graph[],
• List[]+List[], Sort[], Length[], Total[], Count[]
• First[][, Last[], Part[], Take[]

• Import[,”JSON”], Export[abc.cvs]
• Dataset[], AssociationThread[], Normal[], Keys[], Values[]
• data[[n,m]], data[[n;;m]], data[[All,m]],data[“name”]
• Quantity[]. UnitConvert[]
• Entity[],EntityClass[], CityData[], CountryData[], PlanetsData[]

Simulations and risk analysis

Manipulate[]

pdf from data…..

Color

• Red, Green, Blue, Yellow, Orange, Pink, Purple
• RGBColor[]
• Hue[]
• RandomColor[], ColorNegate[], Blend[],Binarize[], EdgeDetect[]
• Style[]
• ColorFunction[]

Image Processing

• CurrentImage[], ColorNegate[], Binarize[], Blur[], EdgeDetect[], DominantColor[], ImageCollage[], ImageAdd[]

Graphics

• Circle[], Disk[], Regular Polygon, Graphics, Graphics3D[], Sphere[], Cylinder[], Cone[]

Interactive

• Manipulate
• ListAnimate

Speed

• Parallel

Deployment

CloudPublish

EmbedCode

SendEmail

Homework

Research

Slideshows

Reports

Computational Essays

Blogs

Course Material

Connections:

ExternalEvaluate: python, NodeJS,

IOT: Arduino,RasberryPi, Databin

Other apps: Unity Engine, Matlab, ExcelLink, SolidWorks

Other languages: Wolfram Engine

Technical

Module[]

If, While, Do

SystemDialog[]

Print[]

f[] vs f[{}]

Style[] vs directives []

Pro Tips

Special Functions

Gaussians, BesselJ, Frenel, Greens