This is the first in a series of short books on probability theory
and random processes for biomedical engineers. This text is written
as an introduction to probability theory. The goal was to prepare
students, engineers and scientists at all levels of background and
experience for the application of this theory to a wide variety of
problems-as well as pursue these topics at a more advanced level.
The approach is to present a unified treatment of the subject.
There are only a few key concepts involved in the basic theory of
probability theory. These key concepts are all presented in the
first chapter. The second chapter introduces the topic of random
variables. Later chapters simply expand upon these key ideas and
extend the range of application. A considerable effort has been
made to develop the theory in a logical manner-developing special
mathematical skills as needed. The mathematical background required
of the reader is basic knowledge of differential calculus. Every
effort has been made to be consistent with commonly used notation
and terminology-both within the engineering community as well as
the probability and statistics literature. Biomedical engineering
examples are introduced throughout the text and a large number of
self-study problems are available for the reader.
General
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