The book "Kolmogorov: Foundations of the Theory of Probability" by Andrey
Nikolaevich Kolmogorov is historically very important. It is the
foundation of modern probability theory. The monograph appeared as
"Grundbegriffe der Wahrscheinlichkeitsrechnung" in 1933 and build up
probability theory in a rigorous way similar as Euclid did with geometry.
Today, it is mainly a historical document and can hardly be used as a
textbook any more. The book is still readable and its structure survived
in many modern probability books. Still, there are changes. The
distribution function F for example is defined as F(s) = P[X < s], with
an inquality, not "smaller equal" as today. The book is out of print and
can only be purchased on the (now often electronic) flea markets.
