Bücher der Reihe Chapman & Hall/CRC Pure and Applied Mathematics

Intends to bridge the gap between modern differential geometry and the mathematical physics of general relativity. This text includes material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, and the generic condition.

This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.

Covering important aspects of the theory of unitary representations of nuclear Lie groups, this reference presents the general theory of energy representations and addresses various extensions of path groups and algebras. It discusses representations of G-valued jet bundles when G is not necessarily compact.

Features a theoretical framework to model phenomena with discontinuous changes. This book presents a generalized monotone iterative method in terms of upper and lower solutions appropriate for the study of discontinuous nonlinear differential equations. It also applies this method to derive suitable fixed point theorems in ordered abstract spaces.

Suitable for specialists in functional analysis and stability theory, this work presents an exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. It demonstrates the author's own approach to spectrum perturbations.

Cover the structure theory of semigroups. This title examines constructions and descriptions of semigroups and emphasizes finite, commutative, regular and inverse semigroups. It introduces various structure theorems on regular and commutative semigroups.

This outstanding reference presents current, state-of-the-art research on importantproblems of finite-dimensional nonlinear optimal control and controllability theory

This book explores the use of the concept of biorthogonality and discusses the various recurrence relations for the generalizations of the method of moments, the method of Lanczos, and the biconjugate gradient method. It is helpful for researchers in numerical analysis and approximation theory.

Covers important aspects of symmetric structures in function of a single real variable. This book provides a historical perspective, proofs and useful methods for addressing problems. It provides assistance for real analysis problems involving symmetric derivatives, symmetric continuity and local symmetric structure of sets or functions.

Presents computer methods in approximation, simulation, and visualization for a host of alpha-stable stochastic processes.