Introduction to Probability
Charles M. Grinstead
J. Laurie Snell
Level of rigor and emphasis:Probability is a wonderfully intuitive and applicable field of mathematics.We have tried not to spoil its beauty by presenting too much formal mathematics.Rather,we have tried to develop the key ideas in a somewhat leisurely style,to provide a variety of interesting applications to probability,and to show some of the non intuitive examples that make probability such a lively subject.Exercises:There are over 600 exercises in the text providing plenty of opportunity for practicing skills and developing a sound understanding of the ideas.In the exercise sets are routine exercises to be done with and without the use of a computer and more theoretical exercises to improve the understanding of basic concepts.More difficult exercises are indicated by an asterisk. A solution manual for all of the exercises is available to instructors.
Historical remarks:Introductory probability is a subject in which the fundamental ideas are still closely tied to those of the founders of the subject.For this reason,there are numerous historical comments in the text,especially as they deal with the development of discrete probability.Pedagogical use of computer programs: Probability theory makes predictions about experiments whose outcomes depend upon chance.Consequently,it lends itself beautifully to the use of computers as a mathematical tool to simulate and analyze chance experiments.