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Introduction to Probability, 2nd Edition | Dimitri P. Bertsekas, John N. Tsitsiklis
Athena-Scientific, Hardcover, 2nd edition, Published July 2008, 544 pages, ISBN 188652923X | List Price: $86.00
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An intuitive, yet precise introduction to probability theory, stochastic processes,
statistical inference, and probabilistic models used in science, engineering,
economics, and related fields. This is the currently used textbook for "Probabilistic
Systems Analysis," an introductory probability course at the Massachusetts
Institute of Technology, attended by a large number of undergraduate and graduate
students.
The book covers the fundamentals of probability theory (probabilistic models,
discrete and continuous random variables, multiple random variables, and limit
theorems), which are typically part of a first course on the subject. It also
contains, a number of more advanced topics, from which an instructor can choose
to match the goals of a particular course. These topics include transforms,
sums of random variables, a fairly detailed introduction to Bernoulli, Poisson,
and Markov processes, Bayesian inference, and an introduction to classical statistics.
The book strikes a balance between simplicity in exposition and sophistication
in analytical reasoning. Some of the more mathematically rigorous analysis has
been just intuitively explained in the text, but is developed in detail (at
the level of advanced calculus) in the numerous solved theoretical problems.
This introductory book provides the foundation for many other subjects in Science
and Engineering, Economics, Business, and Finance
Features
• The 2nd Edition includes two new chapters with a thorough coverage of the
central ideas in Bayesian and classical statistical inference.
• Develops the basic concepts of probability, random variables, stochastic processes,
laws of large numbers, and the central limit theorem
• Illustrates the theory with many examples
• Provides many theoretical problems that extend the book's coverage and enhance
its mathematical foundation (solutions are included in the text)
• Provides many problems that enhance the understanding of the basic material,
together with web-posted solutions
• Is supplemented by additional web-based unsolved problems.
• Is coordinated
with the material (syllabus, lecture slides, selection of homework, recitation,
and tutorial problems) used in the MIT course, and which can help an instructor
design his/her own course.
• Has been developed through extensive classroom use
and experience at the Massachusetts Institute of Technology
Course Adoptions
Written by two professors of the Department of Electrical Engineering and Computer
Science at the Massachusetts Institute of Technology, and members of the prestigious
US National Academy of Engineering, the book has been widely adopted for classroom
use in introductory probability courses in the U.S., including:
U. Arizona, Boston U., CMU, Columbia U., Cornell U., George Mason U., Iowa
State U., Middlebury College, Purdue U., RPI., Stanford U., SUNY, U. of Maryland,
U. of Michigan, NorthEastern U., U. of Pennsylvania, U. of Texas at Austin,
U. of Virginia, U.C. Berkeley, U.C. Davis, UCLA, Vanderbilt University, Virginia
Polytechnic Institute, Worcester Polytechnic Institute and abroad, including
in Australia (Monash U.), Korea, South Africa (University of Cape Town), Taiwan,
and Turkey (Bilkent, University, Isik University, Koc University).
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