Télécharger le livre :  Mild Differentiability Conditions for Newton's Method in Banach Spaces
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In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved. The authors’ technique relies on the construction of a scalar...

Editeur : Birkhäuser
Parution : 2020-07-03
Collection : Frontiers in Mathematics
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Télécharger le livre :  Special Functions and Generalized Sturm-Liouville Problems
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This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on special functions...

Editeur : Birkhäuser
Parution : 2020-01-25
Collection : Frontiers in Mathematics
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Télécharger le livre :  Quaternionic Approximation
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This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few...

Editeur : Birkhäuser
Parution : 2019-04-12
Collection : Frontiers in Mathematics
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Télécharger le livre :  Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
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This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them. These...

Editeur : Birkhäuser
Parution : 2019-04-10
Collection : Frontiers in Mathematics
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Télécharger le livre :  Positive Solutions to Indefinite Problems
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This book is devoted to the study of positive solutions to indefinite problems. The monograph intelligibly provides an extensive overview of topological methods and introduces new ideas and results. Sticking to the one-dimensional setting, the author shows that...

Editeur : Birkhäuser
Parution : 2018-11-23
Collection : Frontiers in Mathematics
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Télécharger le livre :  Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization
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The book collects and contributes new results on the theory and practice of ill-posed inverse problems. Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems are discussed not only in standard settings but also in...

Editeur : Birkhäuser
Parution : 2018-09-08
Collection : Frontiers in Mathematics
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Télécharger le livre :  Numerical Methods for Eulerian and Lagrangian Conservation Laws
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This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics. Ultimately, it highlights what is specific to and beneficial in the Lagrangian approach and its...

Editeur : Birkhäuser
Parution : 2017-07-09
Collection : Frontiers in Mathematics
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71,01
Télécharger le livre :  Newton's Method: an Updated Approach of Kantorovich's Theory
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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...

Editeur : Birkhäuser
Parution : 2017-07-05
Collection : Frontiers in Mathematics
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Télécharger le livre :  An Introduction to Incidence Geometry
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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...

Editeur : Birkhäuser
Parution : 2016-11-09
Collection : Frontiers in Mathematics
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116,59
Télécharger le livre :  Bicomplex Holomorphic Functions
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The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers. Accordingly, the main focus is on expressing the similarities with, and differences from, the classical theory of one complex variable.The result is...

Editeur : Birkhäuser
Parution : 2015-12-11
Collection : Frontiers in Mathematics
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Télécharger le livre :  Regularity and Substructures of Hom
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Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8, page 155], [32, page V]). Von...

Editeur : Birkhäuser
Parution : 2009-03-03
Collection : Frontiers in Mathematics
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Télécharger le livre :  Lifting Modules
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Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. There is a certain asymmetry in this duality. While the theory of extending modules is well documented in monographs and text books, the...

Editeur : Birkhäuser
Parution : 2008-08-17
Collection : Frontiers in Mathematics
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Télécharger le livre :  Functional Identities
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A functional identity (FI) can be informally described as an identical relation involving(arbitrary)elementsinaringtogetherwith(“unknown”)functions;more precisely,elementsaremultipliedbyvaluesoffunctions.ThegoalofthegeneralFI theory is to determine the form of these...

Editeur : Birkhäuser
Parution : 2007-08-08
Collection : Frontiers in Mathematics
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Télécharger le livre :  Artinian Modules over Group Rings
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This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such as direct decompositions of artinian modules, criteria of complementability for some important modules, and criteria of...

Editeur : Birkhäuser
Parution : 2006-12-22
Collection : Frontiers in Mathematics
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Télécharger le livre :  Transport Equations in Biology
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This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical...

Editeur : Birkhäuser
Parution : 2006-12-14
Collection : Frontiers in Mathematics
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Télécharger le livre :  Geometric QP Functions
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This book documents the rich structure of the holomorphic Q function spaces which are geometric in the sense that they transform naturally under conformal mappings, with particular emphasis on recent development based on interaction between geometric function and...

Editeur : Birkhäuser
Parution : 2006-11-15
Collection : Frontiers in Mathematics
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Télécharger le livre :  Infinite Matrices and their Finite Sections
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In this book we are concerned with the study of a certain class of in?nite matrices and two important properties of them: their Fredholmness and the stability of the approximation by their ?nite truncations. Let us take these two properties as a starting point for the...

Editeur : Birkhäuser
Parution : 2006-11-10
Collection : Frontiers in Mathematics
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Télécharger le livre :  Extremum Problems for Eigenvalues of Elliptic Operators
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Problems linking the shape of a domain or the coefficients of an elliptic operator to the sequence of its eigenvalues are among the most fascinating of mathematical analysis. In this book, we focus on extremal problems. For instance, we look for a domain which minimizes...

Editeur : Birkhäuser
Parution : 2006-08-29
Collection : Frontiers in Mathematics
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