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.
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.
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
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
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
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
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
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
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
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, ...
Analysis of a Model for Epilepsy: Application of a Max-Type Difference Equation to Mesial Temporal Lobe Epilepsy
1st Edition
By Candace M. Kent, David M. Chan
June 08, 2022
In the 1960s and 1970s, mathematical biologists Sir Robert M. May, E.C. Pielou, and others utilized difference equations as models of ecological and epidemiological phenomena. Since then, with or without applications, the mathematics of difference equations has evolved into a field unto itself. ...
Fixed Point Results in W-Distance Spaces
1st Edition
By Vladimir Rakočević
December 31, 2021
Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important ...
Noncommutative Polynomial Algebras of Solvable Type and Their Modules: Basic Constructive-Computational Theory and Methods
1st Edition
By Huishi Li
November 08, 2021
Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the first book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. In doing so, this book covers: A constructive ...