Books in the Chapman & Hall/CRC Monographs and Research Notes in Mathematics series

This book is motivated by the fascinating interrelations between ergodic theory and number theory (as established since the 1950s). It examines several generalizations and extensions of classical continued fractions, including generalized Lehner, simple, and Hirzebruch-Jung continued fractions.

This book introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the C -probability spaces.

This book provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties.

The authors of this book and their colleagues investigated the ¿rst known application of a "max-type" di¿erence equation. Their equation is a phenomenological model of epileptic seizures. In this book, the authors expand on that research and present a more comprehensive development of mathematical, numerical, and biological results.

This book is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics.

This is the ¿rst book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. This book is perfectly suited to researchers and postgrads researching noncommutative computational algebra.

Any calculus text for undergraduate students majoring in Engineering, Mathematics or Physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and approximation. This book covers the exact same topics but from a categorical perspective.

This book focusses on inverse Gaussian approximation for the distribution of the first level-crossing time in a shifted compound renewal process framework.

This book is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flights acts as an effective tool for modeling the slow and super-slow diffusion processes arising in various fields of science and technology.

This book aims to propose a unified approach to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connections between these equations and the theory of semigroups of operators.

Tools for Infinite Dimensional Analysis aims to provide an introduction to the background material for infinite dimensional analysis that is friendly in style and accessible to graduate students and researchers studying infinite dimensional topological vector spaces.

Although the theory behind solitary waves of strain shows that they hold promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable solitary waves in practice. Inspired by this contradiction, Strain Solitons in Solids and How to Construct Them refines the theory, explores how to con

The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics and solution techniques.

Across two volumes, the authors of this book discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces.

Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The situation with the study of infinite dimensional linear groups is like the situation that has developed in the theory of groups.

This book focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory.

This book collects recent research-including the authors' own substantial projects-on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation itself. With many examples throughout addressing problems in physics, biology, and other areas, the book is suitable for applied mathematicians as well as scientists in biology, medicine, engineering, and physics.

Glider Representations offer several applications across different fields within Mathematics, thereby motivating the introduction of this new glider theory and opening numerous doors for future research, particularly with respect to more complex filtration chains.

Musielak-Orlicz spaces came under a new light when applications to electrorheological hydrodynamics forced the particular case of the variable exponent Lebesgue spaces into the center stage.

This book treats the extending structures problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebra. This monograph offers the reader an incursion into the extending structures problem which provides a common ground for studying both the extension problem and the factorization problem.

Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE's discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume I focused mainly on harmonic analysis.

Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.

Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists and Lie group researchers.