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Springer Monographs in Mathematics

Michael Stiebitz

Brooks' Theorem

Brooks' Theorem (1941) is one of the most famous and fundamental theorems in graph theory it is mentioned/treated in all general monographs on graph theory. It has sparked research in several directions…

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Michel Coornaert

Cellular Automata and Groups

Springer Monographs in Mathematics

This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, a…

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Winfried Bruns

Determinants, Gröbner Bases and Cohomology

Springer Monographs in Mathematics

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation th…

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Teresa W. Haynes

Domination in Graphs: Core Concepts

Springer Monographs in Mathematics

This monograph is designed to be an in-depth introduction to domination in graphs. It focuses on three core concepts: domination, total domination, and independent domination. It contains major results on…

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Tullio Ceccherini-Silberstein

Exercises in Cellular Automata and Groups

Springer Monographs in Mathematics

This book complements the authors monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric…

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Alexander Kharazishvili

Notes on Real Analysis and Measure Theory

Springer Monographs in Mathematics

This monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is the notion of nonmeasurability, from which one gets a …

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Graziano Gentili

Regular Functions of a Quaternionic Variable

Springer Monographs in Mathematics

This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications. As in the case of other …

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Tullio Ceccherini-Silberstein

Representation Theory of Finite Group Extensions

Springer Monographs in Mathematics

This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 N G H 1 of finite groups, describe the irreducible …

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Matteo Gallone

Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians

Springer Monographs in Mathematics

This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein Vishik Birman extension schemes both in thei…

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Louis Shapiro

The Riordan Group and Applications

Springer Monographs in Mathematics

The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this f…

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Francesca Acquistapace

Topics in Global Real Analytic Geometry

Springer Monographs in Mathematics

In the first two chapters we review the theory developped by Cartan, Whitney and Tognoli. Then Nullstellensatz is proved both for Stein algebras and for the algebra of real analytic functions on a C-analy…

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