This book is a study of group theoretical properties of two dis- parate kinds, firstly finiteness conditions or generalizations of fini- teness and secondly generalizations of solubility or nilpotence.
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics.
CreditRisk+ is an important and widely implemented default-mode model of portfolio credit risk, based on a methodology borrowed from actuarial mathematics.
Aus den Besprechungen: "Wodurch unterscheidet sich das hiermit begonnene Lehrwerk der Analysis von zahlreichen anderen, zum Teil im gleichen Verlag erschienenen, exzellenten Werken dieser Art?
The Gmelin Formula Index and its First Supplement covered those volumes of the Eighth Edition of the Gmelin Handbook which had been issued up to the end of 1979.
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts.
Spherical buildings are certain combinatorial simplicial complexes intro- duced, at first in the language of "e;incidence geometries,"e; to provide a sys- tematic geometric interpretation of the exceptional complex Lie groups.
In the years 1994, 1995, two EIDMA mini courses on Computer Algebra were given at the Eindhoven University of Technology by, apart from ourselves, various invited lecturers.
This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva- ture -1, which is traditionally called hyperbolic 3-space.
The finite simple groups are basic objects in algebra since many questions about general finite groups can be reduced to questions about the simple groups.
The problems being solved by invariant theory are far-reaching generalizations and extensions of problems on the "e;reduction to canonical form"e; of various is almost the same thing, projective geometry.
"e;Algorithmic information theory (AIT) is the result of putting Shannon's information theory and Turing's computability theory into a cocktail shaker and shaking vigorously"e;, says G.
In 1961 Smale established the generalized Poincare Conjecture in dimensions greater than or equal to 5 [129] and proceeded to prove the h-cobordism theorem [130].
As the role of the modern engineer is markedly different from that of even a decade ago, the theme of engineering mathematics educa- tion (EME) is an important one.
From the reviews: "e;A good textbook can improve a lecture course enormously, especially when the material of the lecture includes many technical details.
With the advent of powerful computing tools and numerous advances in math- ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right.
