Mathematica immediately allows you to do arithmetic not only with individual numbers, but also with arbitrary lists or arrays—as well as symbolic and algebraic forms. Mathematica uses the latest platform-optimized algorithms to work with exact and approximate numbers up to billions of digits, as well as polynomials with millions of terms.
Sqrt — square root, entered as using Ctrl+@
Total — total of elements in a list
Mean — mean of a list
Accumulate — cumulative sums in a list
Differences — successive differences in a list
Ratios — successive ratios in a list