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.
Perturbed Functional Iterations Matrix Free Large-Scale Nonlinear System Solvers in Applied Science with an Introduction to D-Mapping
Classical Clifford Algebras Operator-Algebraic and Free-Probabilistic Approaches
Constructive Analysis of Semicircular Elements From Orthogonal Projections to Semicircular Elements
Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements
Analysis of a Model for Epilepsy Application of a Max-Type Diﬀerence Equation to Mesial Temporal Lobe Epilepsy
Fixed Point Results in W-Distance Spaces
By Suhrit Dey
May 02, 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 ...
By Ilwoo Cho
April 01, 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 ...
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 ...
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 ...
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, ...
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 ...
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 ...
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 ...
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 ...
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, ...
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. ...
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 ...