This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, 1993.
Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed.
Most books devoted to the theory of the integral have ignored the nonabsolute integrals, despite the fact that the journal literature relating to these has become richer and richer.
Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties.
The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions.
The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface.
This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras.
Over the last decade, synthetic musk fragrances, which after use enter the environment by different pathways, have been described as a new group of bioaccumulative and persistent xenobiotics.
While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce.
This book starts with an overview of the research of Grobner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems.
When the DFG (Deutsche Forschungsgemeinschaft) launched its collabora- tive research centre or SFB (Sonderforschungsbereich) 438 "e;Mathematical Modelling, Simulation, and Verification in Material-Oriented Processes and Intelligent Systems"e; in July 1997 at the Technische Vniversitat Munchen and at the Vniversitat Augsburg, southern Bavaria got its second nucleus of the still young discipline scientific computing.
With one volume each year, this series keeps scientists and advanced students informed of the latest developments and results in all areas of the plant sciences.
This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively.
This proceedings volume consists of papers presented at the Sixth International Workshop on Computer-Aided Scheduling of Public Transpon, which was held at the Fund~lio Calouste Gulbenkian in Lisbon from July 6th to 9th, 1993.
Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering.
While the ability of animals to learn rhythms is an unquestionable fact, the underlying neurophysiological mechanisms are still no more than conjectures.
With one volume each year, this series keeps scientists and advanced students informed of the latest developments and results in all areas of the plant sciences.
Measure and integration wereonceconsidered,especially by many ofthe more practically inclined, to be an esoteric area ofabstract mathematics best left to pure mathematicians.