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Chapman & Hall/CRC Monographs and Research Notes in Mathematics


About the Series

This series is designed to capture new developments and summarize what is known over the entire field of mathematics, both pure and applied. It will include a broad range of monographs and research notes on current and developing topics that will appeal to academics, graduate students, and practitioners. Interdisciplinary books appealing not only to the mathematical community, but also to engineers, physicists, and computer scientists are encouraged.

This series will maintain the highest editorial standards, publishing well-developed monographs as well as research notes on new topics that are final, but not yet refined into a formal monograph. The notes are meant to be a rapid means of publication for current material where the style of exposition reflects a developing topic.

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Markov Random Flights

Markov Random Flights

1st Edition

Forthcoming

Alexander D. Kolesnik
February 01, 2021

Markov Random Flights is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flight is a stochastic dynamic system subject to the control of an external Poisson process and represented by the stochastic motion of a ...

Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations

Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations

1st Edition

Forthcoming

Luca Lorenzi, Adbelaziz Rhandi
December 29, 2020

Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations 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 ...

Applications of Homogenization Theory to the Study of Mineralized Tissue

Applications of Homogenization Theory to the Study of Mineralized Tissue

1st Edition

Forthcoming

Robert P. Gilbert, Ana Vasilic, Sandra Klinge, Alex Panchenko, Klaus Hackl
December 28, 2020

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures. Applications of Homogenization ...

Tools for Infinite Dimensional Analysis

Tools for Infinite Dimensional Analysis

1st Edition

Forthcoming

Jeremy J. Becnel
December 21, 2020

Over the past six decades, several extremely important fields in mathematics have been developed. Among these are Itô calculus, Gaussian measures on Banach spaces, Malliavan calculus, and white noise distribution theory. These subjects have many applications, ranging from finance and economics to ...

Strain Solitons in Solids and How to Construct Them

Strain Solitons in Solids and How to Construct Them

1st Edition

Forthcoming

Alexander M. Samsonov
December 18, 2020

Although the theory behind solitary waves of strain shows that they hold significant promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable elastic solitary waves in practice. Inspired by this apparent contradiction, Strain ...

Morrey Spaces Introduction and Applications to Integral Operators and PDE’s, Volume II

Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s, Volume II

1st Edition

Yoshihiro Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim
September 17, 2020

Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and ...

Morrey Spaces Introduction and Applications to Integral Operators and PDE’s, Volumes I & II

Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s, Volumes I & II

1st Edition

Yoshihiro Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim
September 17, 2020

Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and ...

Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs

Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs

1st Edition

Svetlin G. Georgiev, Khaled Zennir
July 22, 2020

Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs covers all the basics of the subject of fixed-point theory and its applications with a strong focus on examples, proofs and practical problems, thus making it ideal as course material but also as a reference for ...

Localized Dynamics of Thin-Walled Shells

Localized Dynamics of Thin-Walled Shells

1st Edition

Gennadi I. Mikhasev, Petr E. Tovstik
April 15, 2020

Localized Dynamics of Thin-Walled Shells 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, in the form of ...

Linear Groups The Accent on Infinite Dimensionality

Linear Groups: The Accent on Infinite Dimensionality

1st Edition

Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
March 31, 2020

Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to this topic is ...

Spectral Geometry of Partial Differential Operators

Spectral Geometry of Partial Differential Operators

1st Edition

Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan
February 17, 2020

The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral ...

Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

1st Edition

Feyzi Başar, Hemen Dutta
February 07, 2020

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several ...

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