Skip to main content

Springer Monographs in Mathematics

Springer Monographs in Mathematics
184 Jahrgänge | 1989 - 2019


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

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 …

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 …

2018 | Buch

Elliptic Differential Operators and Spectral Analysis

This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature.

Starting with the …

2018 | Buch

L² Approaches in Several Complex Variables

Towards the Oka–Cartan Theory with Precise Bounds

This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Special emphasis is put on the new precise …

2018 | Buch

Singular Algebraic Curves

With an Appendix by Oleg Viro

Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and …

2018 | Buch

The Story of Algebraic Numbers in the First Half of the 20th Century

From Hilbert to Tate

The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period.

2018 | Buch

Automorphisms of Finite Groups

The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the …

2017 | Buch

Surface-Knots in 4-Space

An Introduction

This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field.Knot theory is one of the most active …

2017 | Buch

Topological Vector Spaces and Their Applications

This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but …

2017 | Buch

Cellular Automata: Analysis and Applications

This book focuses on a coherent representation of the main approaches to analyze the dynamics of cellular automata. Cellular automata are an inevitable tool in mathematical modeling. In contrast to classical modeling approaches as partial …

2017 | Buch

Fractal Zeta Functions and Fractal Drums

Higher-Dimensional Theory of Complex Dimensions

This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative …

2017 | Buch

Harmonic and Complex Analysis in Several Variables

Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: complex analysis and harmonic analysis. Written with the …

2017 | Buch

Variational Analysis of Regular Mappings

Theory and Applications

This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in …

2017 | Buch

Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The …