Graph minor theory is one of the most influential and well-developed areas of graph theory, yet its key results, particularly the work of Robertson and Seymour, have remaine...Lasīt vairāk
In the second edition we do not only correct errors, update references and improve some of the proofs of the text of the first edition, but also add a new chapter on singularities in arbitrary characteristic. W...Lasīt vairāk
The theme of this book is to establish a link between gauge theory and L²-cohomology theory. This book is almost self-contained and is accessible not only to graduate students in differential geometry but also to both the experts in L²-cohomology th...Lasīt vairāk
This book, now in a revised and extended second edition, offers an in-depth account of Coxeter groups through the perspective of geometric group theory....Lasīt vairāk
The book deals with qualitative analysis of the mathematical model of flow of a viscous incompressible fluid around a translating and rotating body. The considered mathematical model, which represents the description of the flow in a coordinate sy...Lasīt vairāk
This book, now in a revised and extended third edition, provides a comprehensive and accessible introduction to modern axiomatic set theory.After an overview of basic notions in combinatorics and first-order logic, and discussing in great d...Lasīt vairāk
This book is the first comprehensive presentation of a central topic of stochastic geometry: random mosaics that are generated by Poisson processes of hyperplanes. It thus connects a basic notion from probability theory, Poisson processes, with a fun...Lasīt vairāk
The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting. The main tools are the so-called homogenization algebras, the classi...Lasīt vairāk
This comprehensive book explores the intricate realm of fine potential theory. Delving into the real theory, it navigates through harmonic and subharmonic functions, addressing the famed Dirichlet problem within finely open sets of R^n. T...Lasīt vairāk
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. This book presents a comprehensive overview...Lasīt vairāk
This books area is special functions of one or several complex variables. Special functions have been applied to dynamics and physics. Special functions such as elliptic or automorphic functions have an algebro-geometric nature. These attributes...Lasīt vairāk
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, amenability, symbolic dynamics, the algebrai...Lasīt vairāk
The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, MordellTornheim multiple zeta-functions, and EulerZagier multiple zeta-functions. Zeta-functions of root systems are defined by cer...Lasīt vairāk
Derived category methods entered commutative algebra in the latter half of the 1960s, providing, among other things, a framework for a clear formulation of Grothendiecks Local Duality Theorem. Since then, their impact on the field has steadily gr...Lasīt vairāk
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 group theory with connections to ge...Lasīt vairāk
This monograph explores key principles in the modern theory of dynamic optimization, incorporating important advances in the field to provide a comprehensive, mathematically rigorous reference. Emphasis is placed on nonsmooth analytic techniques, and...Lasīt vairāk
This book is the first comprehensive presentation of a central topic of stochastic geometry: random mosaics that are generated by Poisson processes of hyperplanes. It thus connects a basic notion from probability theory, Poisson processes, with a fun...Lasīt vairāk
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 these foundational domination numbers, inc...Lasīt vairāk
