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BOOK SERIES


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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Modeling and Inverse Problems in the Presence of Uncertainty

Modeling and Inverse Problems in the Presence of Uncertainty

1st Edition

By H. T. Banks, Shuhua Hu, W. Clayton Thompson
September 19, 2019

Modeling and Inverse Problems in the Presence of Uncertainty 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 ...

Extending Structures Fundamentals and Applications

Extending Structures: Fundamentals and Applications

1st Edition

By Ana Agore, Gigel Militaru
August 27, 2019

Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem ...

Neutrices and External Numbers A Flexible Number System

Neutrices and External Numbers: A Flexible Number System

1st Edition

By Bruno Dinis, Imme van den Berg
June 24, 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 ...

Analysis on Function Spaces of Musielak-Orlicz Type

Analysis on Function Spaces of Musielak-Orlicz Type

1st Edition

By 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

By 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 ...

Monomial Algebras

Monomial Algebras

2nd Edition

By 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, ...

Topological Methods for Differential Equations and Inclusions

Topological Methods for Differential Equations and Inclusions

1st Edition

By 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 ...

Delay Differential Evolutions Subjected to Nonlocal Initial Conditions

Delay Differential Evolutions Subjected to Nonlocal Initial Conditions

1st Edition

By Monica-Dana Burlică, Mihai Necula, Daniela Roșu, Ioan I. Vrabie
June 20, 2016

Filling a gap in the literature, Delay Differential Evolutions Subjected to Nonlocal Initial Conditions reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity, ...

Diagram Genus, Generators, and Applications

Diagram Genus, Generators, and Applications

1st Edition

By Alexander Stoimenow
February 09, 2016

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("generators"). Diagram Genus, Generators and Applications presents a self-contained account of the canonical genus: the genus of knot diagrams. The author explores recent research on the ...

Stochastic Cauchy Problems in Infinite Dimensions Generalized and Regularized Solutions

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions

1st Edition

By Irina V. Melnikova
February 19, 2016

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for random processes with values in Hilbert spaces. Accessible to non-specialists, the book explores how modern semi-group and distribution methods relate to the ...

Difference Equations Theory, Applications and Advanced Topics, Third Edition

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

3rd Edition

By 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

By 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 ...

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