This updated and revised first-course textbook in applied probability
provides a contemporary and lively post-calculus introduction to the
subject of probability. The exposition reflects a desirable balance
between fundamental theory and many applications involving a broad range
of real problem scenarios. It is intended to appeal to a wide audience,
including mathematics and statistics majors, prospective engineers and
scientists, and those business and social science majors interested in
the quantitative aspects of their disciplines.
The textbook contains enough material for a year-long course, though
many instructors will use it for a single term (one semester or one
quarter). As such, three course syllabi with expanded course outlines
are now available for download on the book's page on the Springer
website.
A one-term course would cover material in the core chapters (1-4),
supplemented by selections from one or more of the remaining chapters on
statistical inference (Ch. 5), Markov chains (Ch. 6), stochastic
processes (Ch. 7), and signal processing (Ch. 8-available exclusively
online and specifically designed for electrical and computer engineers,
making the book suitable for a one-term class on random signals and
noise).
For a year-long course, core chapters (1-4) are accessible to those who
have taken a year of univariate differential and integral calculus;
matrix algebra, multivariate calculus, and engineering mathematics are
needed for the latter, more advanced chapters.
At the heart of the textbook's pedagogy are 1,100 applied exercises,
ranging from straightforward to reasonably challenging, roughly 700
exercises in the first four "core" chapters alone-a self-contained
textbook of problems introducing basic theoretical knowledge necessary
for solving problems and illustrating how to solve the problems at
hand - in R and MATLAB, including code so that students can create
simulations.
New to this edition
- Updated and re-worked Recommended Coverage for instructors, detailing
which courses should use the textbook and how to utilize different
sections for various objectives and time constraints
- Extended and revised instructions and solutions to problem sets
- Overhaul of Section 7.7 on continuous-time Markov chains
- Supplementary materials include three sample syllabi and updated
solutions manuals for both instructors and students
