A A First Course in Probability and Markov Chains by Giuseppe Modica (Author) offers an introduction to basic elements of probability with a focus on applications in information technology. The book covers two main areas: the first part delves into notions and structures in probability, including combinatorics, probability measures, probability distributions, conditional probability, inclusion-exclusion formulas, random variables, dispersion indexes, independent random variables as well as weak and strong laws of large numbers and central limit theorem. In the second part, it addresses Discrete Time Discrete Markov Chains alongside an introduction to Poisson processes and Continuous Time Discrete Markov Chains. Additionally, the book utilizes measure theory notations for a unified presentation, avoiding separate treatments of continuous and discrete distributions.

Key features include:

• Presents basic elements of probability
• Explores elementary probability with combinatorics, uniform probability, inclusion-exclusion principle, independence, and convergence of random variables

Note: Published by Wiley on December 10, 2012.