The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings. Extending (or CS) modules are generalizations of injective (and also semisimple or uniform) modules. While the theory of CS-modules is well documented in monographs and textbooks, results on generalized forms of the CS property as well as dual notions are far less present in the literature.
With their work the authors provide a solid background to module theory, accessible to anyone familiar with basic abstract algebra. The focus of...
The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-...
This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among others the generalized polygons, near polygons, polar spaces, dual polar spaces and designs. Also the various relationships between these geometries are investigated. Ovals and ovoids of projective spaces are studied and some applications to particular geometries will be given. A separate chapter introduces the...
This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some o...
This book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the existing literature by presenting in detail the classic λ-Holder condition and introducing the notion of locally Holder-continuous function in an open set Ω in Rn. Further, it provides the essential notions of multidimensional geometry applied to analysis.
Written in an accessible style and with proofs given as clearly as possible, it is a valuable resource for graduate students in Mathematical Analysis and researchers dealing with Holder-continuous...
This book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the existing literature by presenting in detail the class...
This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds.
Although the theory of differential equations on real manifolds is well known it is described in thousands of papers and its usefulness requires no comments or explanations to date specialists on differential equations have not focused on the complex theory of partial differential equations. However, as well as being remarkably beautiful, this theory can be used to solve a number of problems in real theory, for instance, the Poincare...
This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifo...
This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspects of the Kantorovich's theory including implicated studies. Kantorovich's theory for Newton's method used techniques of functional analysis to prove the semilocal convergence of the method by means of the well-known majorant principle. To gain a deeper understanding of these techniques the authors return to the beginning and present a deep-detailed approach of Kantorovich's theory for Newton's method, where they include old results, for a...
This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspe...
The book collects and contributes new results on the theory and practice of ill-posed inverse problems. The new methods are applied to a difficult inverse problem from laser optics.Sparsity promoting regularization is examined in detail from a Banach space point of view.
The book collects and contributes new results on the theory and practice of ill-posed inverse problems. The new methods are applied to a difficult inv...
