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.
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
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
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
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
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
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
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
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
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
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
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 ...
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 ...