SAO Maths Primer


Mathematics Primer: Summation

A sequence of numbers can be represented by a summation symbol.

Let us consider an addition sequence, Sn. Suppose the numbers to be added are u1 , u2 , u3 , ..., un ... We let

The large Sigma symbol represent a summation of n components. As n increases without bound ...

... we are led to consider a summation over infinite components, which is denoted by

Such an expression is called an infinite series.

As an example we display the equation of state for a mixture of gases.

This equation describes the total pressure P, as the summation of partial pressures Pi.


Recommended Web Sites:

Eric Weisstein's world of Mathematics mathworld.wolfram.com

S.O.S. Mathematics www.sosmath.com


Return to Maths Primer page


Back to the Swinburne Astronomy Online Home Page

© Swinburne Copyright and disclaimer information
Maintained by: Rebecca Allen (rebeccaallen@swin.edu.au)
Authorised by: Prof. Jean Brodie (jbrodie@swin.edu.au)
Monday, 19-Nov-2007 11:19:37 AEDT