This textbook now in its second revised and extended edition presents the fundamental ideas
and results of both probability theory and statistics. It comprises the material of a one-year
course which is addressed to students of mathematics and to scientists with an interest in the
mathematical side of stochastics.The stochastic concepts models and methods are motivated by
examples and then developed and analysed systematically. Some measure theory is included but
this is done at an elementary level that is in accordance with the introductory character of
the book. A large number of problems now in part with solutions offer applications and
supplements to the text.
