Chapter 12, PROBLEM SET 12.7 #12

Following function is important in applied mathematics and physics (probability theory and statistics, thermodynamics, etc.) and fits our present discussion.

Regarding it as a typical case of a special function defined by an integral that cannot be evaluated as in elementary calculus, do the following.

It can be shown that erf (∞) = 1. Confirm this experimentally by computing erf x for large x.

PROBLEM SET 12.10:

PROBLEM SET 12.11:

PROBLEM SET 12.12:

PROBLEM SET 12.3:

PROBLEM SET 12.4:

PROBLEM SET 12.6:

PROBLEM SET 12.7:

PROBLEM SET 12.9: