Kirjahaku

Dynamical systems with random influences occur throughout the physical, biological, and social sciences. By carefully studying a randomly varying system over a small time interval, a discrete stochastic process model can be constructed. Next, letting the time interval shrink to zero, an Ito stochastic differential equation model for the dynamical system is obtained. This modeling procedure is thoroughly explained and illustrated for randomly varying systems in population biology, chemistry, physics, engineering, and finance. Introductory chapters present the fundamental concepts of random variables, stochastic processes, stochastic integration, and stochastic differential equations. These concepts are explained in a Hilbert space setting which unifies and simplifies the presentation. Computer programs, given throughout the text, are useful in solving representative stochastic problems. Analytical and computational exercises are provided in each chapter that complement the material in the text. Modeling with Itô Stochastic Differential Equations is useful for researchers and graduate students. As a textbook for a graduate course, prerequisites include probability theory, differential equations, intermediate analysis, and some knowledge of scientific programming.

This study charts relationships between moral claims and audience response in medieval exemplary works by such poets as Chaucer, Gower, Robert Henryson, and several anonymous scribes. In late medieval England, exemplary works make one of the strongest possible claims for the social value of poetic fiction. Studying this debate reveals a set of local literary histories, based on both canonical and non-canonical texts, that complicate received notions of the didactic Middle Ages, the sophisticated Renaissance, and the fallow fifteenth century in between.

Ailish O'Hara escapes the Church, her family and ultimately Ireland with one objective - to forget. But no matter how far she runs or how deep she travels into the seductive world of pleasure seeking and defiant self-discovery, she cannot escape the theme of her childhood and the healing of family, who patiently await her return. Uncensored and deeply sensitive, Shedding Ailish is an unabashed and vulnerable coming of age story written with lyrical elegance and emotional candor. Ultimately it is a story of coming home.

Dynamical systems with random influences occur throughout the physical, biological, and social sciences. By carefully studying a randomly varying system over a small time interval, a discrete stochastic process model can be constructed. Next, letting the time interval shrink to zero, an Ito stochastic differential equation model for the dynamical system is obtained. This modeling procedure is thoroughly explained and illustrated for randomly varying systems in population biology, chemistry, physics, engineering, and finance. Introductory chapters present the fundamental concepts of random variables, stochastic processes, stochastic integration, and stochastic differential equations. These concepts are explained in a Hilbert space setting which unifies and simplifies the presentation. Computer programs, given throughout the text, are useful in solving representative stochastic problems. Analytical and computational exercises are provided in each chapter that complement the material in the text. Modeling with Itô Stochastic Differential Equations is useful for researchers and graduate students. As a textbook for a graduate course, prerequisites include probability theory, differential equations, intermediate analysis, and some knowledge of scientific programming.