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#### Modeling with Itô Stochastic Differential Equations

Springer 2007; US$ 139.00Dynamical 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... more...

#### An Introduction To The Geometry Of Stochastic Flows

World Scientific Publishing Company 2004; US$ 96.00This book aims to provide a self-contained introduction to the local geometry of the stochastic flows. It studies the hypoelliptic operators, which are written in Hörmander?s form, by using the connection between stochastic flows and partial differential equations. The book stresses the author?s view that the local geometry of any stochastic flow is... more...

#### Stochastic Differential Equations

World Scientific Publishing Company 2007; US$ 236.00This volume consists of 15 articles written by experts in stochastic analysis. The first paper in the volume, Stochastic Evolution Equations by N V Krylov and B L Rozovskii, was originally published in Russian in 1979. After more than a quarter-century, this paper remains a standard reference in the field of stochastic partial differential equations... more...

#### Markovprozesse und stochastische Differentialgleichungen

Springer 2012; US$ 29.95In diesem Lehrbuch werden einige Themen aus der Stochastik behandelt, die auf dem Begriff des Markovprozesses aufbauen. Dabei sind Markovprozesse stochastische Prozesse, für welche die Prognose für das zufällige Verhalten in der Zukunft nur von der gegenwärtigen Position abhängt. Die zentralen Begriffe der Markovprozesse werden... more...

#### The Langevin Equation

World Scientific Publishing Company 2004; US$ 282.00This volume is the second edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the Brownian motion in a potential, with emphasis on modern applications in the natural sciences, electrical engineering and so on. It has been substantially enlarged to cover in a succinct manner a number of new... more...

#### The Langevin Equation

World Scientific Publishing Company 2012; US$ 176.00This volume is the third edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the translational and rotational Brownian motion of particles and spins in a potential highlighting modern applications in physics, chemistry, electrical engineering, and so on. In order to improve the presentation,... more...

#### Stochastic Differential Equations on Manifolds

Cambridge University Press 1982; US$ 52.00A basic 1982 treatment of stochastic differential equations on manifolds and their solution flows and the properties of Brownian motion on Riemannian manifolds. more...

#### Nonlinear Fokker-Planck Equations

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 139.00Centered around the natural phenomena of relaxations and fluctuations, this monograph provides readers with a foundation in the linear and nonlinear Fokker-Planck equations that describe the evolution of distribution functions. It emphasizes principles and concepts of the theory, while also illustrating the wide applicability. more...

#### The Noisy Oscillator

World Scientific Publishing Company 2005; US$ 96.00Stochastic Processes; Fluctuation Phenomena; Classical Statistical Mechanics; Oscillator; Brownian Motion; Stochastic Resonance; Multiplicative Noise more...