There’s a lot more to the Wolfram Language than we’ve been able to cover in this book. Here’s a sampling of just a few of the many topics and areas that we’ve missed.

User Interface Construction

TabView[Table[ListPlot[Range[20]^n],{n,5}]]

Grid[Table[Slider[ ],4,3]]

Function Visualization

Plot[Sin[x]+Sin[Sqrt[2] x],{x,0,20}]

ContourPlot3D[x^3+y^2-z^2,{x,-2,2},{y,-2,2},{z,-2,2}]

Mathematical Computation

Factor[x^10-1]

Solve[x^3-2x+1==0,x]

Integrate[Sqrt[x+Sqrt[x]],x]

Integrate[AiryAi[x],x]//TraditionalForm

(∑_(i=0)^n)((Binomial[n,i] i!)/((n+1+i)!))

Numerics

NMinimize[{x^4+y^4-z/(x+1),y>0},{x,y,z}∈Ball[ ]]

NDSolve[{y''[x]+ Sin[y[x]]y[x]==0,y[0]==1,y'[0]==0},y,{x,0,30}]

Plot[Evaluate[{y[x],y'[x],y''[x]}/.%],{x,0,30}]

Geometry

Area[Disk[{0,0},r]]

ConvexHullMesh[RandomReal[1,{100,3}]]

Algorithms

With[{c=LinguisticAssistant},GeoListPlot[c[[Last@FindShortestTour[c]]],Joined->True]]

FactorInteger[2^255-1]

Logic

BooleanTable[p||q&&(p||!q),{p},{q}]//Grid

BooleanMinimize[BooleanCountingFunction[{2,3},{a,b,c,d}]]//TraditionalForm

The Computational Universe

ArrayPlot[CellularAutomaton[30,{{1},0},200]]

RulePlot[CellularAutomaton[30]]

Building APIs

CloudDeploy[APIFunction[{"loc" -> "Location"}, GeoDistance[#loc, Here] &]]

EmbedCode[%,"Java"]

Document Generation

DocumentNotebook[{Style["A Circle","Section"],Style["How to make a circle"],Graphics[Circle[ ]]}]

Evaluation Control

Hold[2+2==4]

ReleaseHold[%]

Systems-Level Operations

RunProcess["ps","StandardOutput"]

Encrypt["sEcreTkey","Read this if you can!"]

Parallel Computation

$ProcessorCount

Table[PrimeQ[2^Prime[n]-1],{n,500}]//Counts//AbsoluteTiming

ParallelTable[PrimeQ[2^Prime[n]-1],{n,500}]//Counts//AbsoluteTiming