Bøger i Applied Mathematics serien

Presents the fundamentals of information theory and data compression. This book discusses the historical and theoretical basis of information theory. It also covers algorithm(s) of Gallager and Knuth. It discusses the information rate of a code and the trade-off between error correction and information rate.

This book provides a basic introduction to both information theory and data compression. Although the two topics are related, this unique treatment allows readers to explore either topic independently. The authors' presentation of information theory is pitched at an elementary level, making the book less daunting than most other texts. The second edition includes a detailed history of information theory that provides a solid background for the quantification of the topic as developed by Claude Shannon. It also covers the information rate of a code and the trade-off between error correction and rate of information transmission, probabilistic finite state source automata, and wavelet methods.

Two variational theories of liquid crystals are explained in this book: the first, presented by Zocher, Oseen and Frank, is classical; the other, put forward by Ericksen, is new in its formulation, although it has been anticipated in the literature of the past 20 years.

This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering

Bivectors occur naturally in the description of elliptically polarized homogeneous and inhomogeneous plane waves

Presents an introduction to the complementary notions of physical forces and material or configurational forces. The required elements of continuum mechanics, deformation theory and differential geometry are also covered.

Presents the fundamentals of an approach to crystal thermomechanics. This title looks at continuum theory for the equilibrium of crystalline substances by means of energy methods. It discusses the roles of geometry, kinematics, and energy invariance in crystals during the investigation of the actual mechanics of this phenomenon.

An exposition of the mathematical methods and main results of the Boundary Layer Theory. It explores the theory's mathematical studies and their importance to the nonlinear theory of viscous and electrically conducting flows, the theory of heat and mass transfer, and the dynamics of reactive and multiphase media.

A fully systematic treatment of the dynamics of vortex structures and their interactions in a viscous density stratified fluid is provided by this book. The various compact vortex structures, from simple to complex, are considered theoretically from a physical point of view.