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mathHandbook.com - former SymbMath, online Computer Algebra System

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It is an online graphic calculator and computer algebra system. It can perform exact, numeric, symbolic and graphic computation, e.g. arbitrary-precision calculation, solve equation, plot data and user-defined functions, linear regression, symbolic differentation and integration, pattern-match. It is a programming language, in which you can define conditional, case, piecewise, recursive, multi-value functions and procedures, derivatives, integrals and rules.

 Document | Questions? | Contact A first letter of keywords is upper-case, case-sensitive, e.g. Sin is differernt from sin. Its default variable is small letter x. Please type x^2-1 into the Input panel, then click on the "dy/dx" button for differentiation d/dx, the "f dx" button for integration int dx, the Solve button to solve equation = 0, the NSolve button to numeric solve the equation = 0, the Plot button to plot graph, the PolarPlot button to plot graph in polar coordinates the "=" button to simplify for symbolic answer. the "~=" button for numeric answer. the "<-Back" button for going back, the Clear button for clear.

You input f(x), then click on the "dy/dx" button many times for high order of differentiation d^2/dx f(x) , then click on the "f dx" button many times for high order of integration int int.

For more functions, click on the "Input" menu to input D(x) into the Input panel, then click the "=" button to get the result.

For plotting a function, type Plot(x^2) into the Input panel, click on the "=" button. Or just type x^2 into the input panel, click on the Plot button. click on the "Zoom In" or "Zoom Out" menu under the Graph menu to zoom.

Find coordinates by clicking on graph, get the initial value to the "x=" field by double-clicking, or zoom by drag, on graphics.

If symbolic integration fails, you should add your integration rules into the library file Int.txt in the vmath/library/ directory.

You can develop your library, and save library files into the vmath/library/ directory. The library source codes are text and auto loaded when need. Please read document visualmath.doc or visualmath.doc.htm.

It runs in any computer, PDA, and mobile phone that supports Java™ technology. If you see it online, it can run offline in your computer, PDA, and mobile phone.

It is all of Java applet, Java application and Window application. Run VisualMath.html as Java applet, run VisualMath.bat as Java application, or run VisualMath.exe as Window application.

For security reason, the Copy, Paste, Open and Save, and Print menu work only when it runs as local application. Please read SymbMath manual SymbMath.doc.

#### Examples:

For lim_(x->0) sin(x)/x  input:
Limit(Sin(x)/x,x=0)
For differentiation d/dx x^6  input:
D(x^6)
For differentiation at x=2 d/dx_(x=2) x^6  input:
D(x^6, x=2)
For second order of differntiation d^2/dx f(x)  input:
D(f(x),x,2)
For integration int x^6 dx  input:
Int(x^6, x)
For definite integration int_1^2 x^6 dx  input:
Int(x^6, x, 1,2)

For Taylor series:
Taylor(Exp(x))
For big integer:
100!
For numeric, input:
N(Sin(I))
To define function, input :
f(x_) := x^2;
then use the defined function:
f(9)

Solve two equations: y=x^2 and y=x+1 :
Plot(y=x^2), Plot(y=x+1)
OR:
Plot(x^2), Plot(x+1)
click on the cross of two lines to get solutions.

You can copy-and-paste from and to your document by right-button clicking on the text field to pop-up menu. For second way of copy-and-paste, first select the text, then key in Ctrl+C (i.e. press the Ctrl key and the C key at the same time), then point to where you want to paste, and finally key in Ctrl+V (i.e. press the Ctrl key and the V key at the same time).

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