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Applied Stochastic Processes presents a concise, graduate-level treatment of the subject, emphasizing applications and practical computation. It also establishes the complete mathematical theory in an accessible way. After reviewing basic probability, the text covers Poisson processes, renewal processes, discrete- and continuous-time Markov chains, and Brownian motion. It also offers an introduction to stochastic differential equations. While the main applications described are queues, the book also considers other examples, such as the mathematical model of a single stock market. With exercises in most sections, this book provides a clear, practical introduction for beginning graduate students. The material is presented in a straightforward manner using short, motivating examples. In addition, the author develops the mathematical theory with a strong emphasis on probability intuition.
The creation narrative in the early chapters of Genesis proved irresistible to the church fathers. Following the apostle Paul, they explored the six days of creation and the profound significance of Adam as a type of Christ, the second Adam. With comment from Basil the Great, Ambrose, and Augustine, this ACCS volume on Genesis 1-11 opens up a treasure house of ancient wisdom.
An intimate examination of early Ch'ing China