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Graduate Course In Probability, A (Hardcover)
Loot Price: R4,046
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Graduate Course In Probability, A (Hardcover)
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This book grew out of the notes for a one-semester basic graduate
course in probability. As the title suggests, it is meant to be an
introduction to probability and could serve as textbook for a year
long text for a basic graduate course. It assumes some familiarity
with measure theory and integration so in this book we emphasize
only those aspects of measure theory that have special
probabilistic uses.The book covers the topics that are part of the
culture of an aspiring probabilist and it is guided by the author's
personal belief that probability was and is a theory driven by
examples. The examples form the main attraction of this subject.
For this reason, a large book is devoted to an eclectic collection
of examples, from classical to modern, from mainstream to 'exotic'.
The text is complemented by nearly 200 exercises, quite a few
nontrivial, but all meant to enhance comprehension and enlarge the
reader's horizons.While teaching probability both at undergraduate
and graduate level the author discovered the revealing power of
simulations. For this reason, the book contains a veiled invitation
to the reader to familiarize with the programing language R. In the
appendix, there are a few of the most frequently used operations
and the text is sprinkled with (less than optimal) R codes.
Nowadays one can do on a laptop simulations and computations we
could only dream as an undergraduate in the past. This is a book
written by a probability outsider. That brings along a bit of
freshness together with certain 'naiveties'.
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