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.

Forthcoming

By **Ronald Guenther, John W. Lee**

August 07, 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 ...

Forthcoming

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

July 20, 2023

There is no clear sense of when the continued fraction was originally conceived of. It is likely that one of the first authors who, indirectly, suggested this notion was Euclid (c. 300 BC) via his famous algorithm (the oldest nontrivial algorithm that has survived to the present day) in the seventh...

Forthcoming

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 ...

Forthcoming

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 ...

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 ...

By **M.N. Popa, V.V. Pricop**

September 24, 2021

The Center and Focus Problem: Algebraic Solutions and Hypotheses, M. N. Popa and V.V. Pricop, ISBN: 978-1-032-01725-9 (Hardback) This book focuses on an old problem of the qualitative theory of differential equations, called the Center and Focus Problem. It is intended for mathematicians, ...

By **Francisco Javier Garcia-Pacheco**

September 09, 2021

Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is intended for graduate students pursuing PhDs in pure mathematics but junior and senior researchers in basically any field of mathematics and theoretical physics will also be interested. Any calculus...