Provides an introduction to basic structures of probability with a view towards applications in information technology A First Course in Probability and Markov Chains presents an introduction to the basic elements in probability and focuses on two main areas. The first part explores 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 of the book, focus is given to Discrete Time Discrete Markov Chains which is addressed together with an introduction to Poisson processes and Continuous Time Discrete Markov Chains. This book also looks at making use of measure theory notations that unify all the presentation, in particular avoiding the separate treatment of continuous and discrete distributions. A First Course in Probability and Markov Chains: Presents the basic elements of probability. Explores elementary probability with combinatorics, uniform probability, the inclusion-exclusion principle, independence and convergence of random variables. Features applications of Law of Large Numbers. Introduces Bernoulli and Poisson processes as well as discrete and continuous time Markov Chains with discrete states. Includes illustrations and examples throughout, along with solutions to problems featured in this book. The authors present a unified and comprehensive overview of probability and Markov Chains aimed at educating engineers working with probability and statistics as well as advanced undergraduate students in sciences and engineering with a basic background in mathematical analysis and linear algebra.
Ralf Dahrendorf (1929 to 2009) has worked in sociology, political practice and political philosophy, and is associated with significant impulses in role theory and conflict theory. This book presents the first synthesis of his extensive oeuvre in English. Dahrendorf's political commitment was driven largely by his desire to maximize life chances, thus contributing to the further development of liberalism. In the tradition of Karl Popper, his work in all areas was aimed at defending the open society, and he saw conflicts, if they were settled, as being suitable in principle for contributing to social progress. This book provides insights into the various methodological and theoretical aspects and critiques of Ralf Dahrendorf's work, as well as his reflections on the position of sociology in the system of sciences and in relation to political practice. The current crisis of liberal politics has made Dahrendorf’s work more relevant than ever, and this overview will be of great interest to students and researchers across sociology, political science, political ideologies and European integration.
Continues the author's story of personal crises, highlighted by the irony and humor that paralleled her professional triumph, and includes anecdotes of the famous and infamous
Riding on a wave of popular demand for YA fantasy and science fiction, Marissa Meyer’s success in the genre is the latest stage in the steady rise of an up-and-coming author. Meyer’s career milestones are discussed, including her education in creative writing, her work as an editor on other writers’ books, and her writing of the manga comic fan fiction Sailor Moon under a pseudonym. The book provides an in-depth look at the writing process and creative origins behind her first book, Cinder, the first in an ambitious four-part series that reworks traditional fairy tales in a modern context.
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