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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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Analysis on Function Spaces of Musielak-Orlicz Type

Analysis on Function Spaces of Musielak-Orlicz Type

Forthcoming

Jan Lang, Osvaldo Mendez
December 15, 2018

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. Since then, research efforts in have been oriented towards carrying over the results of classical analysis...

Analytic Methods for Coagulation-Fragmentation Models, Volume 1

Analytic Methods for Coagulation-Fragmentation Models, Volume 1

Forthcoming

Jacek Banasiak, Wilson Lamb, Philippe Laurencot
December 15, 2018

The book begins with an in-depth survey of coagulation-fragmentation models, followed by a detailed presentation of relevant earlier results in the field. The mathematical tools necessary for the modern development of the theory as well as essential facts from infinite-dimensional dynamical systems...

Topological Methods for Differential Equations and Inclusions

Topological Methods for Differential Equations and Inclusions

Forthcoming

John R. Graef, Johnny Henderson, Abdelghani Ouahab
September 11, 2018

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove...

Difference Equations: Theory, Applications and Advanced Topics, Third Edition

Difference Equations: Theory, Applications and Advanced Topics, Third Edition

Ronald E. Mickens
April 09, 2018

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of...

Elastic Waves: High Frequency Theory

Elastic Waves: High Frequency Theory

Vassily Babich, Aleksei Kiselev
April 03, 2018

Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in...

Matrix Inequalities and Their Extensions to Lie Groups

Matrix Inequalities and Their Extensions to Lie Groups

Tin-Yau Tam, Xuhua Liu
March 16, 2018

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...

Monomial Algebras, Second Edition

Monomial Algebras, Second Edition

Rafael Villarreal
March 12, 2018

Monomial Algebras, Second Edition presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs,...

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

Daniele Bertaccini, Fabio Durastante
February 28, 2018

This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the...

Lineability: The Search for Linearity in Mathematics

Lineability: The Search for Linearity in Mathematics

Richard M. Aron, Luis Bernal-Gonzalez, Daniel M. Pellegrino, Juan B. Seoane Sepulveda
February 13, 2018

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in...

Actions and Invariants of Algebraic Groups, Second Edition

Actions and Invariants of Algebraic Groups, Second Edition

Walter Ricardo Ferrer Santos, Alvaro Rittatore
December 20, 2017

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an...

Integration and Cubature Methods: A Geomathematically Oriented Course

Integration and Cubature Methods: A Geomathematically Oriented Course

Willi Freeden, Martin Gutting
November 27, 2017

In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration. In geosciences, however, the integrals are extended over potato-like volumes (such...

Mathematical Modelling of Waves in Multi-Scale Structured Media

Mathematical Modelling of Waves in Multi-Scale Structured Media

Alexander B. Movchan, Natasha V. Movchan, Ian S. Jones, Daniel J. Colquitt
November 08, 2017

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...

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