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Springer Monographs in Mathematics

Springer Monographs in Mathematics
196 Jahrgänge | 1989 - 2020

Beschreibung

This series publishes advanced monographs giving well-written presentations of the "state-of-the-art" in fields of mathematical research that have acquired the maturity needed for such a treatment. They are sufficiently self-contained to be accessible to more than just the intimate specialists of the subject, and sufficiently comprehensive to remain valuable references for many years. Besides the current state of knowledge in its field, an SMM volume should ideally describe its relevance to and interaction with neighbouring fields of mathematics, and give pointers to future directions of research.

Alle Bücher der Reihe Springer Monographs in Mathematics

2020 | Buch

Nonautonomous Dynamics

Nonlinear Oscillations and Global Attractors

This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough …

2020 | Buch

Continuous Semigroups of Holomorphic Self-maps of the Unit Disc

The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions. The book includes precise descriptions of the behavior of trajectories …

2020 | Buch

Amenable Banach Algebras

A Panorama

This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups. By encompassing important foundational material, contemporary research, and recent advancements, this monograph offers a …

2020 | Buch

Conformally Invariant Metrics and Quasiconformal Mappings

This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is …

2020 | Buch

Real Algebraic Varieties

This book gives a systematic presentation of real algebraic varieties.

Real algebraic varieties are ubiquitous.They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however …

2020 | Buch

Simplicial Partitions with Applications to the Finite Element Method

This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems …

2020 | Buch

Kuranishi Structures and Virtual Fundamental Chains

The package of Gromov’s pseudo-holomorphic curves is a major tool in global symplectic geometry and its applications, including mirror symmetry and Hamiltonian dynamics. The Kuranishi structure was introduced by two of the authors of the present …

2020 | Buch

Mittag-Leffler Functions, Related Topics and Applications

The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes …

2020 | Buch

Riemannian Manifolds and Homogeneous Geodesics

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics, that is, geodesics that are integral curves of …

2020 | Buch

Topology of Infinite-Dimensional Manifolds

An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert …

2019 | Buch

Nonlinear Analysis - Theory and Methods

This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the …

2019 | Buch

Gaussian Harmonic Analysis

Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse …

2019 | Buch

Curvature Measures of Singular Sets

The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and …

2019 | Buch

Discrete Energy on Rectifiable Sets

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations. Written by leading authorities on the topic, this treatise is designed with the graduate student and further explorers …

2019 | Buch

Triangulated Categories of Mixed Motives

The primary aim of this monograph is to achieve part of Beilinson’s program on mixed motives using Voevodsky’s theories of A1-homotopy and motivic complexes.

Historically, this book is the first to give a complete construction of a triangulated …

2019 | Buch

Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms

This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient detail …

2019 | Buch

Combinatorial Set Theory of C*-algebras

This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras …

2018 | Buch

Classes of Directed Graphs

This edited volume offers a detailed account on the theory of directed graphs from the perspective of important classes of digraphs, with each chapter written by experts on the topic.

Outlining fundamental discoveries and new results obtained over …

2018 | Buch

Universal Coding and Order Identification by Model Selection Methods

The purpose of these notes is to highlight the far-reaching connections between Information Theory and Statistics. Universal coding and adaptive compression are indeed closely related to statistical inference concerning processes and using maximum …

2018 | Buch

Variational Analysis and Applications

Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in …