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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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Spectral Geometry of Partial Differential Operators (Open Access)

Spectral Geometry of Partial Differential Operators (Open Access)

1st Edition

Forthcoming

Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan
March 02, 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

Forthcoming

Feyzi Basar, Hemen Dutta
February 25, 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

Forthcoming

Frederik Caenepeel, Fred Van Oystaeyen
November 29, 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...

Lattice Point Identities and Shannon-Type Sampling

Lattice Point Identities and Shannon-Type Sampling

1st Edition

Willi Freeden, M. Zuhair Nashed
November 12, 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...

Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations

Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations

1st Edition

Pham Loi Vu
November 11, 2019

Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations is devoted to inverse scattering problems (ISPs) for differential equations and their application to nonlinear evolution equations (NLEEs). The book is suitable for anyone who has a mathematical background and...

Spectral Methods Using Multivariate Polynomials On The Unit Ball

Spectral Methods Using Multivariate Polynomials On The Unit Ball

1st Edition

Kendall Atkinson, David Chien, Olaf Hansen
November 11, 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...

Analytic Methods for Coagulation-Fragmentation Models, Volume I

Analytic Methods for Coagulation-Fragmentation Models, Volume I

1st Edition

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 II

Analytic Methods for Coagulation-Fragmentation Models, Volume II

1st Edition

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

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...

Modeling and Inverse Problems in the Presence of Uncertainty

Modeling and Inverse Problems in the Presence of Uncertainty

1st Edition

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

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

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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