Gesammelte Abhandlungen / CollectedPapers

Editor: Paulo Ribenboim

1999. 24 x 17 cm. 2 Volumes. XIV, VIII, 1,729 pages.

ISBN 3-11-012771-7

Wolfgang Krull (1899-1971) ? continuing the tradition of Felix
Klein and Emmy Noether - is world famous for his contributions to
the area

of mathematics now known as abstract commutative algebra.

With a few exceptions, these two volumes contain all papers of
Krull published in mathematical periodicals.

Volume 1 covers the period from 1921 to 1938, beginning with
Krull's 1921 Freiburg dissertation and ending with the 1938
landmark

paper published in Crelle, in which he initiated the theory of
local rings.

Volume 2 contains the papers published between 1939 and 1973.

This edition demonstrates the breadth and depth of Krull's
mathematical work and his lasting influence. Also included are
essays by P.

Ribenboim, H. Sch?neborn, H.-J. Nastold and J. Neukirch setting
Krull's work in perspective.

Athanasopoulos; Ioannis

Rodrigues; Jose Francisco

Makrakis; George

Description

Free boundary problems arise in an enormous number of situations
in nature and technology. They hold a strategic position in pure
and applied sciences and thus have been the focus of considerable
research over the last three decades. Free Boundary Problems:
Theory and Applications presents the work and results of experts
at the forefront of current research in mathematics, material
sciences, chemical engineering, biology, and physics. It contains
the plenary lectures and contributed papers of the 1997
International Interdisciplinary Congress proceedings held in
Crete.

The main topics addressed include free boundary problems in fluid
and solid mechanics, combustion, the theory of filtration, and
glaciology. Contributors also discuss material science
modeling,recent mathematical developments, and numerical analysis
advances within their presentations of more specific topics, such
as singularities of interfaces, cusp cavitation and fracture,
capillary fluiddynamics of film coating, dynamics of surface
growth, phase transition kinetics, and phase field models. With
the implications of free boundary problems so far reaching, it
becomes important for researchers from all of these fields to
stay abreast of new developments. Free Boundary Problems: Theory

and Applications provides the opportunity to do just that,
presenting recent advances from more than 50 researchers at the
frontiers of science, mathematics, and technology.

Audience

Researchers and graduate students working in:

partial differential equations and their applications

numerical analysis

computational mathematics

engineering

Contents

Plenary Lectures

A Study of Free Boundary Problems of Fluid Flow in Porous Media
by Mixed Methods, L. Badea, R.E. Ewing, and J. Wang

Labyrinthine Pattern Formation in Magnetic Liquids, A. Cebers,
and I. Drikis Some Two-Scale Processes Involving Parabolic
Equations,

A. Fasano Level Set Methods with an Application to Modeling the
Growth of Thin Films, B. Merriman, R. Caflisch, and S. Osher

Free Boundary Problems Arising in Ecological Systems, M. Mimura
Overview of Dynamical Simulations of the Flow of Suspensions of
Liquid Capsules and Drops, C. Pozrikidis Meniscus Roll Coating:
Steady Flows and Instabilities, M. Savage Mathematical
Developments of Free

Boundary Problems Instabilities, Bifurcations, and Saddle Points
in some FBP's in Combustion, C.M. Brauner, J. Julshof, A.
Lunardi, and C. Schmidt-Laine Regularity of Solutions and
Interfaces to Degenerate Parabolic Equations: The Intersection
Comparison Method,

V.A. Galaktionov, S. Shmarev, and J.L. Vazquez Blow Up of
Interfaces for an Inhomogeneous Aquifer, M. Guedda, D. Hilhorst,
and M.A. Peletier

An Exponential Transform and Regularity of Free Boundaries in Two
Dimensions, B. Gustaffson Well-Posedness for a Phase-Field Model
with Constraint, N. Kenmochi and M. Kubo On a Structure Theorem
for some Free Boundary Problems for the Heat Equation, M.K.
Korten

Limit, Pointwise, Viscosity, and Classical Solutions to a Free
Boundary Problem in Combustion, C. Lederman and M. Wolanski

Free Boundary Problems in Fluid Mechanics Hysteresis Behavior of
a Pointed Drop in Taylor's Four-Roller Mill, L. Antanovskii and
R.l. Grimshaw

Mathematical Foundation of Ice Sheet and Ice Shelf Dynamics: A
Physicist View, K.H. Hutter A Free Moving Boundary Problem for
the Till Layer Below Large Ice Sheets, F. dell'Isola and K.
Hutter New Ideas about Flow Induced Cavitation of Liquids, D.D.
Joseph Topological Transitions in Liquid/Liquid Surfaces, J.
Lowengrub, J. Goodman, H. Lee, I.K. Longmire, M.H. Shelley, and
L. Truskinosky On the Mathematical Analysis of a Valley Glacier
Model, J.F Rodrigues and J.M. Urbano On the Bernoulli Free
Boundary Problem with Surface Tension, A. Wagner

Phase Change in Material Science Alloy Solidification with
Convection in the Melt, V. Alexiades Implications of
Non-Monotonic Curvature-Dependence in the Propagation Speed of an
Interface, J.W. Dold Asymptotic Analysis of a Phase-Filed Model
with Memory, M. Grasselli Models of Nucleation and Growth, A.
Visintin Computational Methods and Numerical Analysis New Results
in Numerical Conservation Laws, B. Cocburn, P.-A. Gremaud, and X.
Yang On a Degenerate System in Glaciology Giving Rise to a Free
Boundary, J.I. Diaz and E. Schiavi

Singular Finite Element solutions of the Axisymmetric
Extrudate-Swell Problem, G. Georgiou and A.G. Boudouvis A
Phase-Field System with Space-Dependent Relaxation Coefficient,
O. Klein Monotone Iterations for Elliptic Variational
Inequalities, R. Kornhuber Adaptive Solution of Parabolic Free
Boundary Problems with Error Control, R.H. Nochett, A. Scmidt,
and C. Verdi

Features

+ Presents works at the forefront of research and technology

+ Covers free boundary problems from a wide range of fields,
including fluid and solid mechanics, material science, and
numerical analysis

+ Includes applications such as combustion, glaciology, thin film
growth, and phase changes

+ Offers contributions from more than 50 top researchers from
around the world

Free Boundary Problems, Theory and Applications

Catalog Number: LM2067, ISBN: 158488018X

Publication Date: 06/25/99

Wolstenholme; Linda C.

Description

Reliability is an essential concept in mathematics, computing,
research, and all disciplines of engineering, and reliability as
a characteristic is,

in fact, a probability. Therefore, in this book, the author uses
the statistical approach to reliability modelling along with the
MINITAB software package to provide a comprehensive treatment of
modelling, from the basics through advanced modelling techniques.

The book begins by presenting a thorough grounding in the
elements of modelling the lifetime of a single, non-repairable
unit. Assuming no prior knowledge of the subject, the author
includes a guide to all the fundamentals of probability theory,
defines the various measures associated with reliability, then
describes and discusses the more common lifetime models: the
exponential, Weibull, normal, lognormal and gamma distributions.
She concludes the groundwork by looking at ways of choosing and
fitting the most appropriate model to a given data set, paying
particular attention to two critical points: the effect of
censored data and estimating lifetimes in the tail of the
distribution. The focus then shifts to topics somewhat more
difficult:

Features

+ the difference in the analysis of lifetimes for repairable
versus non-repairable systems and whether repair truly
"renews" the system

+ methods for dealing with system with reliability characteristic
specified for more than one component or subsystem

+ the effect of different types of maintenance strategies

+ the analysis of life test data

The final chapter provides snapshot introductions to a range of
advanced models and presents two case studies that illustrate
various ideas from throughout the book.

Audience

Graduate Students and researchers in

mathematics

computing

engineering

systems

Engineers from al disciplines who have a practical interest in
reliability

Reliability Modelling: A Statistical Approach

Catalog Number: C0373, ISBN: 1584880147

Publication Date: 06/24/99

D. Hilbert and W. Ackermann

Description

David Hilbert was particularly interested in the foundations of
mathematics. Among many other things, he is famous for his
attempt to

axiomatize mathematics. This now classic text is his treatment of
symbolic logic. It lays the groundwork for his later work with
Bernays.

This translation is based on the second German edition, and has
been modified according to the criticisms of Church and Quine. In
particular,

the authors' original formulation of G?del's completeness proof
for the predicate calculus has been updated.

In the first half of the twentieth century, an important debate
on the foundations of mathematics took place. Principles of
Mathematical

Logic represents one of Hilbert's important contributions to that
debate. Although symbolic logic has grown considerably in the
subsequent decades, this book remains a classic.

Contents

The sentential calculus

The calculus of classes (monadic predicate calculus)

The restricted predicate calculus

The extended predicate calculus

Editor's notes

Bibliography

Index

Details:

Publisher: American Mathematical Society

Distributor: American Mathematical Society

Series: AMS Chelsea Publishing

Publication Year: 1950

Reprint/Revision History: first AMS printing 1999

ISBN: 0-8218-2024-9

Paging: 172 pp.

Binding: Hardcover

Robert E. Kottwitz, University of Chicago, IL, and Diana
Shelstad, Rutgers University, Newark, NJ

A publication of Societe Math?eatique de France.

Description

This book develops the foundations of a general theory of twisted
endoscopy by discussing the following: the definition of
endoscopic groups,

the study of the correspondance between twisted conjugacy classes
and conjugacy classes in endoscopic groups, the definition of
transfer factors, and finally the stabilization of the elliptic
part of the twisted trace formula. The book also develops a
theory of duality and Tamagawa numbers for the hypercohomology of
complexes $T \to U$ of tori.

Contents

Introduction

Automorphism and L-groups

Endoscopy

Norm mappings

Relative transfer factors

The notion of transfer

Beginning of the stabilization

End of the stabilization

Hypercohomology of complexes of tori over local fields

Inner twists of a group plus automorphism

Hypercohomology of complexes of tori over number fields

Duality for tori over number fields

Tamagawa numbers for complexes of tori

Bibliography

Details:

Publisher: Societe Mathematique de France

Series: Asterisque, ISSN:

Number: 255

Publication Year: 1999

Paging: 190 pp.

Binding: Softcover

Jean-Pierre Labesse, Universite Paris 7, France

A publication of Societe Mathematique de France.

Description

In this volume, the concept of a "crossed set" (a
generalization of crossed modules) is introduced; the author
studies Galois cohomology of these objects. This is the key to
the stabilization of all elliptic terms for the twisted trace
formula. Labesse then proves the existence of the stable transfer
for cyclic base change, and from a conditional stabilization of
the twisted trace formula, the existence of weak base change in
some cases is deduced, in particular for automorphic
representations on simply connected semi-simple groups which are
Steinberg at two places. In an appendix, Labesse and Clozel study
certain unitary groups. In a second appendix, L. Breen rephrases
crossed sets in the framework of simplicial algebra. Text is in
French.

Contents

Cohomologie, stabilisation et changement de base Introduction

Pr?liminaires cohomologiques

Conjugaison stable, int?grales orbitales et norme

Transfert local

Stabilisation de la formule des traces et applications

Bibliographie

Appendices

Bibliographie

Details:

Publisher: Societe Mathematique de France

Series: Asterisque, Number: 257

Publication Year: 1999

Paging: 161 pp.

Binding: Softcover

Bernard Magneron, Universite Paris-Nord, Villetaneuse, France

A publication of Societe Mathematique de France.

Description

Monomial representations of a nilpotent Lie group $G$ have been
studied successfully during the last few years by several people,
including Grlaud, Corwin and Greenleaf, Fujiwara and Lipsman.
They are constructed by induction, starting from a unitary
character of a $G$-subgroup.

Starting from a subalgebra $\frak{k}$ of the complexification
$\frak{g}^\Bbb {C}$ of the Lie algebra $\frak{g}$ of $G$, and
from a form $f$ or $\frak{g}^*$ such that $f([\frak{k},\frak{k}])
= \{0\}$, one can construct the associated holomorphically
induced representation. This gives another way to obtain unitary
representations for $G$, which generalizes the standard method.

This construction was used by Auslander and Kostant in 1971,
assuming that $\frak{k}$ is a so-called positive polarization.
Their goal was to study irreducible unitary representations of
general solvable groups. Since then, no attempts seems to have
been made to use this method to consider non-irreducible unitary
representations.

This work is a first attempt to fill in this gap. Benoist's study
of the monomial representation associated to the trivial
character of the fixed points subgroup for an involution of $G$,
which was carried out in 1985, showed it was a good starting
example for studying more general monomial representations. In
the same way, Magneron studies here the holomorphically induced
representation $(\rho, \Cal{H})$ associated to the trivial
functional on the fixed points for an involution of
$\frak{g}^\Bbb{C}$, giving some insight of what might happen in
more general instances. Text is in French.

Distributed by the AMS in the United States, Canada, and Mexico.
Orders from other countries should be sent to the SMF, Maison de
la SMF, B.P. 67, 13274 Marseille cedex 09, France, or to Institut
Henri Poincar?, 11 rue Pierre et Marie Curie, 75231 Paris cedex
05, France. Members of the SMF receive a 30% discount from list.

Contents

Introduction. Contexte de notre ?tude

R?sum? des r?sultats

Conventions, notations et rappels compl?mentaires

Les fonctions $\kappa^{\frak p}_{\ell}$ et les vecteurs
sph?riques associ?s

G?om?trie des objets associ?s ? la paire sym?trique $(\frak{g},
\sigma)$

Calcul des fonctions $\kappa^{\frak p}_{\ell}$ dans certains cas.
Cons?quences

R?currences et vecteurs sph?riques

Propri?t?s du c?ne $\varTheta_0$

Propri?t?s du c?ne $\varTheta$

Synth?se et r?sultats principaux

Non nullit? de la repr?sentation $\rho$

Quelques exemples

Appendice

Bibliographie

Index

Liste des notations

Details:

Publisher: Societe Mathematique de France

Series: Asterisque, Number: 253

Publication Year: 1999

Paging: 118 pp.

Binding: Softcover

Fabien Morel, Universit? Paris, France

Description

In this text, the author proposes a general framework to apply
the standard methods from homotopy theory to the category of
smooth

schemes over a reasonable base scheme. It is shown that some
expected properties are satisfied, for example, concerning
algebraic

$K$-theory of those schemes. The text is in French.

Distributed by the AMS in the United States, Canada, and Mexico.
Orders from other countries should be sent to the SMF, Maison de
la SMF, B.P. 67, 13274 Marseille cedex 09, France, or to Institut
Henri Poincar?, 11 rue Pierre et Marie Curie, 75231 Paris cedex
05, France. Members of the SMF receive a 30% discount from list.

Contents

Introduction

La cat?gorie homotopique

Excision homotopique, puret? homotopique et ?clatements
projectifs

Classification homotopique des fibr?s vectoriels

Rappels d'alg?bre homotopique

Famille ample de fibr?s inversibles sur un sch?ma

Bibliographie

Details:

Publisher: Societe Mathematique de France

Series: Ast?risque, Number: 256

Publication Year: 1999

Paging: 119 pp.

Binding: Softcover

Colin J. Bushnell, King's College, London, UK, and Guy
Henniart, Universit? de Paris-Sud, Orsay, France

A publication of Societe Mathematique de France.

Description

In this work, the authors discuss the following problem: Let $F$
be a finite extension of the field of $p$-adic numbers. The
Langlands

Conjectures relate the representations of the absolute Galois
group of $F$ with the representations of general linear groups
over

$F$. These conjectures have recently been proved, via global
geometric methods, by Harris-Taylor and Henniart.

The approach given here uses no global or geometric methods. In
the crucial case where the dimension is a power of $p$, they
construct a correspondence exhibiting almostall of the desired
properties. This very explicit approach is based on the theory of
types of Bushnell-Kutzko

and their behavior under base change with respect to tame
extensions of $F$.

Contents

Introduction

Notation and Preliminaries

Algebraic tame lifting

Correspondence with Galois representations

Central types

Base field extension for central types

Construction of the tame lift

Automorphic local constants

Gauss sums mod roots of unity

Gauss sum relations

Calculation of the commutator Gauss sum

Comparison with base change

Appendix: Representations of finite groups

Bibliography

Details:

Publisher: Societe Mathematique de France

Series: Asterisque, Number: 254

Publication Year: 1999

Paging: 105 pp.

Binding: Softcover

Marcel Berger, Institut des Hautes ?tudes Scientifiques,
Bures-sur-Yvette, France

Description

During its first hundred years, Riemannian geometry enjoyed
steady, but undistinguished growth as a field of mathematics.

In the last fifty years of the twentieth century,however, it has
exploded with activity. Berger marks the start of this period
with Rauch's pioneering paper of 1951, which contains the first
real pinching theorem and an amazing leap in the depth of the
connection between

geometry and topology. Since then, the field has become so rich
that it is almost impossible for the uninitiated to find

their way through it. Textbooks on the subject invariably must
choose a particular approach, thus narrowing the path.

In this book, Berger provides a truly remarkable survey of the
main developments in Riemannian geometry in the second half of
the last fifty years.

One of the most powerful features of Riemannian manifolds is that
they have invariants of (at least) three different kinds. There
are the geometric invariants: topology, the metric, various
notions of curvature, and relationships among these. There are
analytic invariants:

eigenvalues of the Laplacian, wave equations, Schr?dinger
equations. There are the invariants that come from Hamiltonian
mechanics:

geodesic flow, ergodic properties, periodic geodesics. Finally,
there are important results relating different types
ofinvariants. To keep

the size of this survey manageable, Berger focuses on five areas
of Riemannian geometry: Curvature and topology; the construction

of and the classification of space forms; distinguished metrics,
especially Einstein metrics; eigenvalues and eigenfunctions of
the Laplacian;

the study of periodic geodesics and the geodesic flow. Other
topics are treated in less detail in a separate section.

While Berger's survey is not intended for the complete beginner
(one should already be familiar with notions of curvature and
geodesics), he provides a detailed map to the major developments
of Riemannian geometry from 1950 to 1999. Important threads are
highlighted, with brief descriptions of the results that make up
that thread. This supremely scholarly account is remarkable for
its careful citations and voluminous bibliography. If you wish to
learn about the results that have defined Riemannian geometry in
the last half century, start with this book.

Reprint arranged with the approval of the publisher B. G.
Teubner, Stuttgart and Leipzig.

Contents

Introduction

Riemannian geometry up to 1950

Comments on the main topics I, II, III, IV, V under consideration

Curvature and topology

The geometrical hierarchy of Riemannian manifolds: Space forms

The set of Riemannian structures on a given compact manifold: Is
there a best metric?

The spectrum, the eigenfunctions

Periodic geodesics, the geodesic flow

Some other Riemannian geometric topics of interest

Bibliography

Subject and notation index

Name index

Details:

Series: University Lecture Series,

Publication Year: 1999

ISBN: 0-8218-2052-4

Paging: approximately 217 pp.

Binding: Softcover

Edited by: Sung H. Park, Seoul National University, South Korea,
and

G. Geoffrey Vining, Virginia Polytechnic Institute and State
University, Blacksburg

series: Statistics: Textbooks and Monographs volume: 160

09/01/1999 In Press

Hardcover

description:

Presenting the science of statistical process control (SPC) and
the related concepts of total quality management (TQM) and design
of experiments (DOE), this remarkable reference demonstrates ways
to track industrial processes and performance?integrating related

areas such as engineering process control, statistical reasoning
in TQM, robust parameter design, control charts, multivariate
process

monitoring, capability indices, experimental design, empirical
model building, and process optimization.

Covers a wide range of statistical methods and emphasizes
practical applications of quality control systems in
manufacturing, organization,

and planning.

Written by more than 25 renowned researchers with broad
experience with on-the-job problem solving, Statistical Process
Monitoring and Optimization

showcases concepts such as "people-based management"
and continuous improvement examines leadership styles in
European,

American, and Asian companies describes means of quantifying
factors such as employee loyalty and customer satisfaction and
their

relation to profitability explores multivariate diagnosis theory
in application to multioperational and multi-index systems

assesses uses of Markov chains in relation to ARL and associated
sampling distributions explains statistical models for dynamic
systems, changepoint analysis, generalized linear models, and key
algorithms elucidates replication strategies and process
capability

reviews the interplay of intraorganizational domains such as
finance, marketing, resource allocation, software engineering,

and strategic planning and more!

contents:

Statistical Reasoning in Total Quality Management

On-Line Quality Control System Designs, Genichi Taguchi

Statistical Monitoring and Optimization in Total Quality
Management, Kai Kristensen

Quality Improvement Methods and Statistical Reasoning, G. K.
Kanji

Leadership Profiles and the Implementation of Total Quality
Management for Business Excellence,

Jens J. Dahlgaard, Su Mi Park Dahlgaard, and Anders N?rgaard

A Methodological Approach for the Integration of SPC and EPC in
Discrete Manufacturing Processes,

Enrique Del Castillo, G. Rainer, and Elart Von Collani

Reliability Analysis of Customer Claims, Pasquale Erto

Control Charts and Process Monitoring

Some Recent Developments in Control Charts for Monitoring a
Proportion, Marion R. Reynolds, Jr., and Zachary G. Stoumbos

Process Monitoring with Autocorrelated Data, Douglas C.
Montgomery and Christina M. Mastrangelo

An Introduction to the New Multivariate Diagnosis Theory with Two
Kinds of Quality and Its Applications, Gongxu Zhang

Applications of Markov Chain in Quality-Related Matters, Min-Te
Chao

Joint Monitoring of Process Mean and Variance Based on the
Exponentially Weighted Moving Averages, Fah Fatt Gan

Multivariate Process Monitoring and Capability Indices

Multivariate Quality Control Procedures, Anthony J. Hayter

Autocorrelation in Multivariate Processes, Robert L. Mason and
John C. Young

Capability Indices for Multiresponse Processes, Alan Veevers

Pattern Recognition and Its Applications in Industry, R.
Gnanadesikan and J. R. Kettenring

Assessing Process Capability with Indices, Fred A. Spiring

Experimental Design and Analysis for Process Control

Experimental Strategies for Estimating Mean and Variance
Function, G. Geoffrey Vining, Diane A. Schaub, and Carl Modigh

Recent Development in Supersaturated Designs, Dennis K. J. Lin

Statistical Methods for Product Development: Prototype
Experiments, David M. Steinberg and S?ren Bisgaard

Optimal Approximate Designs for B-Spline Regression, Norbert
Gaffke and Berthold Heiligers

On Dispersion Effects and Their Identification, Bo Bergman and
Anders Hyn?n

Empirical Model Building and Process Optimization

A Graphical Method for Model Fitting in Parameter Design with
Dynamic Characteristics, Sung H. Park and Je H. Choi

Joint Modelling of the Mean and Dispersion for the Anlaysis of
Quality Improvement Experiments, Youngjo Lee and John A. Nelder

Modelling and Analyzing the Generalized Interaction, Chihiro
Hirotsu

Optimization Methods in Multiresponse Surface Methodology, Andr?
I. Khuri and Elsie S. Valeroso

Stochastic Modelling for Quality Improvement in Processes, M. F.
Ramalhoto

Recent Developments in Response Surface Methodology and Its
Applications in Industry, Angela R. Neff and Raymond H. Myers