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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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Neutrices and External Numbers: A Flexible Number System

Neutrices and External Numbers: A Flexible Number System

1st Edition

Forthcoming

Bruno Dinis, Imme van den Berg
August 15, 2019

Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of...

Analytic Methods for Coagulation-Fragmentation Models, Volume II

Analytic Methods for Coagulation-Fragmentation Models, Volume II

1st Edition

Forthcoming

Jacek Banasiak, Wilson Lamb, Philippe Laurencot
July 15, 2019

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of...

Analytic Methods for Coagulation-Fragmentation Models, Volume I & II

Analytic Methods for Coagulation-Fragmentation Models, Volume I & II

1st Edition

Forthcoming

Jacek Banasiak, Wilson Lamb, Philippe Laurencot
July 15, 2019

Analytic Methods for Coagulation-Fragmentation Models is a two-volume that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant...

Analytic Methods for Coagulation-Fragmentation Models, Volume I

Analytic Methods for Coagulation-Fragmentation Models, Volume I

1st Edition

Forthcoming

Jacek Banasiak, Wilson Lamb, Philippe Laurencot
June 15, 2019

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of...

Analysis on Function Spaces of Musielak-Orlicz Type

Analysis on Function Spaces of Musielak-Orlicz Type

1st Edition

Osvaldo Mendez, Jan Lang
December 13, 2018

Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak–Orlicz spaces, and introduces associated function spaces, extending up...

Sturm-Liouville Problems: Theory and Numerical Implementation

Sturm-Liouville Problems: Theory and Numerical Implementation

1st Edition

Ronald B. Guenther, John W Lee
November 08, 2018

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical...

Topological Methods for Differential Equations and Inclusions

Topological Methods for Differential Equations and Inclusions

1st Edition

John R. Graef, Johnny Henderson, Abdelghani Ouahab
October 02, 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

3rd 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

1st Edition

Vassily Babich, Aleksei Kiselev
March 27, 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

1st Edition

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

Monomial Algebras

2nd 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

1st Edition

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...

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