This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, usin…
This is a modern textbook that guides the reader through the theory and practice of satellite orbit prediction and determination. Starting from basic principles of orbital mechanics, it covers elaborate force models as well as precise methods of satellite tracking. Emphasis is o…
A novel methodology is put forward in this book, which empowers researchers to investigate and identify potential spatial processes among a set of regions. Spatial processes and their underlying functional spatial relationships are commonly observed in the geosciences and relate…
This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the applicati…
Numerik partieller Differentialgleichungen
Dieses Lehrbuch bietet eine Einführung in Diskretisierungsmethoden für partielle Differentialgleichungen. Im Mittelpunkt steht das Finite-Element-Verfahren, aber es werden auch Finite-Differenzen- und Finite-Volumen-Verfahren behandelt. Basierend auf einer mathematisch präzisen …
The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by expl…
The theoretical background of cytogenetics as well as the practical methods to investigate chromosomes from Drosophila to mammals and humans are presented in this book. Theory and practical protocols on the following topics are included: Cell culture methods, chromosome preparat…
The goal of this volume is to bring together experts on numerical analysis, computer science and chemistry and produce homogenous contributions on ab initio quantum chemistry. The papers from the different communities collected in this volume are written in a language to be comp…
Gewöhnliche Differentialgleichungen
Gewöhnliche Differentialgleichungen: Eine Einführung
Gewöhnliche Differentialgleichungen: Eine Einführung
In der nunmehr 7., neu bearbeiteten und erweiterten Auflage legt W. Walter sein Lehrbuch über Gewöhnliche Differentialgleichungen vor, das schon so etwas wie ein "moderner Klassiker" geworden ist. Das Buch entspricht dem aktuellen Forschungsstand. Es behandelt neben der klassisc…