There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.
There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This ...
The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hormander function spaces. This theory was constructed by the authors in a number of papers published in 2005 2009. It is distinguished by a systematic use of the method of interpolation with a functional parameter of abstract Hilbert spaces and Sobolev inner product spaces. This method, the theory and their applications are expounded for the first time in the monographic literature.
The monograph is written in detail and...
The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in H...
The purpose of this book is to present results on the subject of weak convergence to study invariance principles in statistical applications. Different techniques, formerly only available in a broad range of literature, are for the first time presented in a self-contained fashion.
The purpose of this book is to present results on the subject of weak convergence to study invariance principles in statistical applications. Diffe...
This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years. The author, an expert in the field, gently presents the theory of interval analysis through many examples and exercises, and guides the reader from the basics of the theory to current research topics in the mathematics of computation.
This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose impor...