8 of 9 people found the following review helpful
on 5 October 2010
If asked to recommend one book to a typical student taking a first year probability module as part of a mathematics degree, this would be it. It is pitched at just the right level, is very clear and includes plenty of examples. Solutions to the many self-test problems and exercises and answers to selected numerical problems are provided at the back of the book.
1 of 2 people found the following review helpful
on 31 October 2013
The book by Sheldon and Ross claims to cover the basic theory suitable for students of math, computer science, biology and a variety of other subjects. It starts with basic combinatorics, then introducing successively discrete and continuous random variables with the most important distributions, finishing with the standard limit theorems and some simulation (i left out some minor topics).
While it contains a plethora of excercises of varying degree of difficulty, it fails to provide a proper introduction of the theory. Too much weight is put on the practical side, such that important theoretical concepts, like for example sigma algebras or Borel sets, are simple left out. Random variables are introduced very vaguely somewhere in the text.
My impression as a mathematician is that it might be suitable for students in applied studies. But it is very unsuitable for math students who want to proceed to advanced topics. This book does NOT prepare for any stochastic or statistical course that builds on prior knowledge of probability theory. Thus it might be a nice excercise book, but students should definitely add other books for a proper understanding of the topics covered.
I gave two stars only for the plenty of interesting excercises.