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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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Fractional Integrals, Potentials, and Radon Transforms

Fractional Integrals, Potentials, and Radon Transforms

2nd Edition

Forthcoming

By Boris Rubin
August 14, 2024

Fractional Integrals, Potentials, and Radon Transforms, Second Edition presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. In this thoroughly revised new ...

Separate and Joint Continuity

Separate and Joint Continuity

1st Edition

Forthcoming

By Jiling Cao, Warren B. Moors
July 09, 2024

Separate and Joint Continuity presents and summarises the main ideas and theorems that have been developed on this topic, which lies at the interface between General Topology and Functional Analysis (and the geometry of Banach spaces in particular). The book offers detailed, self-contained proofs ...

Perturbed Functional Iterations A Matrix Free Large-Scale Nonlinear System Solver in Applied Science with an Introduction to D-Mapping

Perturbed Functional Iterations: A Matrix Free Large-Scale Nonlinear System Solver in Applied Science with an Introduction to D-Mapping

1st Edition

Forthcoming

By Suhrit Dey
June 28, 2024

Perturbed functional iterations (PFI) is a large‑scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill‑conditioned, meaning small changes in data causing huge ...

Classical Clifford Algebras Operator-Algebraic and Free-Probabilistic Approaches

Classical Clifford Algebras: Operator-Algebraic and Free-Probabilistic Approaches

1st Edition

By Ilwoo Cho
April 08, 2024

Classical Clifford Algebras: Operator-Algebraic and Free-Probabilistic Approaches offers novel insights through operator-algebraic and free-probabilistic models. By employing these innovative methods, the author sheds new light on the intrinsic connections between Clifford algebras and various ...

Direct and Projective Limits of Geometric Banach Structures.

Direct and Projective Limits of Geometric Banach Structures.

1st Edition

By Patrick Cabau, Fernand Pelletier
October 06, 2023

This book describes in detail the basic context of the Banach setting and the most important Lie structures found in finite dimension. The authors expose these concepts in the convenient framework which is a common context for projective and direct limits of Banach structures. The book presents ...

Aspects of Integration Novel Approaches to the Riemann and Lebesgue Integrals

Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals

1st Edition

By Ronald B. Guenther, John W. Lee
August 24, 2023

Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts. The first part is devoted to the Riemann integral, and provides not only a novel approach, but also includes several neat examples that are rarely found in other treatments of Riemann ...

Generalized Notions of Continued Fractions Ergodicity and Number Theoretic Applications

Generalized Notions of Continued Fractions: Ergodicity and Number Theoretic Applications

1st Edition

By Juan Fernández Sánchez, Jerónimo López-Salazar Codes, Juan B. Seoane Sepúlveda, Wolfgang Trutschnig
July 20, 2023

Ancient times witnessed the origins of the theory of continued fractions. Throughout time, mathematical geniuses such as Euclid, Aryabhata, Fibonacci, Bombelli, Wallis, Huygens, or Euler have made significant contributions to the development of this famous theory, and it continues to evolve today, ...

Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations

Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations

2nd Edition

By Pham Loi Vu
May 15, 2023

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

Constructive Analysis of Semicircular Elements From Orthogonal Projections to Semicircular Elements

Constructive Analysis of Semicircular Elements: From Orthogonal Projections to Semicircular Elements

1st Edition

By Ilwoo Cho
May 12, 2023

This book not only examines the constructions and free-probabilistic properties of semicircular elements, as defined within the text, but also considers certain Banach-space operators acting on these semicircular elements and shows how they deform (i.e., preserve-or-distort) the semicircular law ...

Applications of Homogenization Theory to the Study of Mineralized Tissue

Applications of Homogenization Theory to the Study of Mineralized Tissue

1st Edition

By Robert P. Gilbert, Ana Vasilic, Sandra Klinge, Alex Panchenko, Klaus Hackl
December 01, 2022

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures. Applications of Homogenization ...

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements

1st Edition

By Ilwoo Cho
July 04, 2022

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original ...

Double Sequence Spaces and Four-Dimensional Matrices

Double Sequence Spaces and Four-Dimensional Matrices

1st Edition

By Feyzi Başar, Medine Yeşilkayagil Savaşcı
June 15, 2022

Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties. The book then goes beyond this to investigate paranormed double sequence spaces and their algebraic and topological properties, ...

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