This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems and deterministic chaos in due detail. As compared to the previous editions the present...

The goal of this text is to present some of the basic ideas of fluid mechanics in a mathematically attractive manner, to present the physical background and motivation for some constructions that have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems and to interest some of the...

Promptly growing demand for telecommunication services and information interchange has led to the fact that communication became one of the most dynamical branches of an infrastructure of a modern society. The book introduces to the bases of classical MDP theory; problems of a finding optimal САС in models are investigated and...

Techniques of vision-based motion analysis aim to detect, track, identify, and generally understand the behavior of objects in image sequences. With the growth of video data in a wide range of applications from visual surveillance to human-machine interfaces, the ability to automatically analyze and understand object motions from video...

Everyday use of time in one form or another is a common experience for everyone throughout their lives. The availability of a means to measure the passage of time with the required accuracy is taken for granted. However, the concepts on which those time scales are based and the requirements for accuracy in many applications can be both...

This volume is the last of three volumes devoted to the work of one of the most prominent 20th century mathematicians. Throughout his mathematical work, A.N. Kolmogorov (1903-1987) showed great creativity and versatility and his wide-ranging studies in many different areas, led to the solution of conceptual and fundamental problems and the...

The 10th International Conference on Unconventional Computation, UC 2011, was organized under the auspices of EATCS and Academia Europaea, by the Department of Mathematics of the University of Turku (Turku, Finland), and the Center for Discrete Mathematics and Theoretical Computer Science (Auckland, New Zealand). The event was held in...

The use of symbol sequences to study dynamical systems originates in the work of Kocbe [Koc27, Koe29] and Morse [Mor87j, who both used symbol saliences to code geodesies on a...

This work deals with a well-defined class of probabilistic models. The focus is on polymers. More precisely I should say that the focus is on the equilibrium statistical mechanics of a class of polymers: dynamical and non-equilibrium phenomena are not treated, reflecting the fact that these directions are at the moment...

Linear-quadratic optimization is one of the most exciting topics in the con trol engineering literature of recent decades. The interest in linear optimal dynamical systems, and especially in those with quadratic cost functional, can be explained by both the richness of properties these systems possess, and the pragmatic value and physical...

KINEMATICS is a branch of dynamics that studies aspects of motion apart from considerations of masses and forces. Essentially, Kinematics is a collection of vector/matrix methods to describe positions, velocities and accelerations of particles and rigid bodies, as viewed from various reference frames. The sub-eld of Particle Kinematics...

Most tasks require a person or an automated system to reason--to reach conclusions based on available information. The framework of probabilistic graphical models, presented in this book, provides a general approach for this task. The approach is model-based, allowing interpretable models to be constructed and then manipulated by reasoning...