Differences between Computer Systems (Mathematica Tutorial)

There are many detailed differences between different kinds of computer systems. But one of the important features of Mathematica is that it allows you to work and create ...

Differentiation (Mathematica Tutorial)

Partial differentiation operations. This gives ( ∂ ) / ( ∂x ) x^n. This gives the third derivative.

Introduction to Initial and Boundary ... (Mathematica Tutorial)

DSolve can be used for finding the general solution to a differential equation or system of differential equations. The general solution gives information about the structure ...

Introduction to Partial Differential ... (Mathematica Tutorial)

A partial differential equation (PDE) is a relationship between an unknown function u(x_1,x_2,…,x_n) and its derivatives with respect to the variables x_1,x_2,…,x_n. Here is ...

Setting Up the Problem (Mathematica Tutorial)

The first argument given to DSolve is the differential equation, the second argument is the unknown function, and the last argument identifies the independent variable. Here ...

Nonlinear Systems of ODEs (Mathematica Tutorial)

Following are two examples of nonlinear systems of ODEs that can be solved symbolically using DSolve. The first three equations in this system of four nonlinear ODEs can be ...

Efficient Representation of Many ... (Mathematica Tutorial)

Primitives which can take multiple elements. Some primitives have multi-element forms that can be processed and rendered more quickly by the Mathematica front end than the ...

Entering Input in Notebooks (Mathematica Tutorial)

Mathematica's notebook interface is a very powerful typesetting system that allows you to enter formulas as they are written in mathematical literature, using two-dimensional ...

Entering Tables and Matrices (Mathematica Tutorial)

The Mathematica front end provides an Insert > Table/Matrix submenu for creating and editing arrays with any specified number of rows and columns. Once you have such an ...

Error and Interrupt Handling (Mathematica Tutorial)

When you are putting and getting data via MathLink various kinds of errors can occur. Whenever any error occurs, MathLink goes into a completely inactive state, and all ...