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Chapman & Hall/CRC Monographs and Research Notes in Mathematics

About the Book 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.

87 Series Titles


Spectral Geometry of Partial Differential Operators

Spectral Geometry of Partial Differential Operators

1st Edition

By 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

By 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 ...

Glider Representations

Glider Representations

1st Edition

By Frederik Caenepeel, Fred Van Oystaeyen
November 25, 2019

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. Features • Introduces new ...

Spectral Methods Using Multivariate Polynomials On The Unit Ball

Spectral Methods Using Multivariate Polynomials On The Unit Ball

1st Edition

By Kendall Atkinson, David Chien, Olaf Hansen
November 08, 2019

Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial ...

Lattice Point Identities and Shannon-Type Sampling

Lattice Point Identities and Shannon-Type Sampling

1st Edition

By Willi Freeden, M. Zuhair Nashed
October 29, 2019

Lattice Point Identities and Shannon-Type Sampling demonstrates that significant roots of many recent facets of Shannon's sampling theorem for multivariate signals rest on basic number-theoretic results. This book leads the reader through a research excursion, beginning from the Gaussian circle ...

Analytic Methods for Coagulation-Fragmentation Models, Volume I

Analytic Methods for Coagulation-Fragmentation Models, Volume I

1st Edition

By Jacek Banasiak, Wilson Lamb, Philippe Laurencot
September 20, 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

By Jacek Banasiak, Wilson Lamb, Philippe Laurencot
September 20, 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 II

Analytic Methods for Coagulation-Fragmentation Models, Volume II

1st Edition

By Jacek Banasiak, Wilson Lamb, Philippe Laurencot
September 20, 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 ...

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 ...

Abstract Cauchy Problems Three Approaches

Abstract Cauchy Problems: Three Approaches

1st Edition

By Irina V. Melnikova, Alexei Filinkov
September 05, 2019

Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems...

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 ...

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