The primary aim of this book is to present
the conjugate and
sub/differential calculus using the method
of perturbation
functions in order to obtain the most general
results in this
field. The secondary aim is to provide important
applications of
this calculus and of the properties of convex
functions. Such
applications are: the study of well-conditioned
convex functions,
uniformly convex and uniformly smooth convex
functions, best
approximation problems, characterizations
of convexity, the study
of the sets of weak sharp minima, well-behaved
functions and the
existence of global error bounds for convex
inequalities, as well
as the study of monotone multifunctions by
using convex functions.
Contents:
Preliminary Results on Functional Analysis
Convex Analysis in Locally Convex Spaces
Some Results and Applications of Convex Analysis in Normed Spaces
Readership: Researchers in analysis and differential
equations, as well as optimization.
400pp (approx.) Pub. date: Scheduled Fall 2002
ISBN 981-238-067-1
This invaluable book contains the collected
papers of Prof Wei-Liang
Chow, an original and versatile mathematician
of the 20th Century.
Prof Chow's name has become a household word
in mathematics
because of the Chow ring, Chow coordinates,
and Chow's theorem on
analytic sets in projective spaces. The Chow
ring has many
advantages and is widely used in intersection
theory of algebraic
geometry. Chow coordinates have been a very
versatile tool in
many aspects of algebraic geometry. Chow's
theorem ? that a
compact analytic variety in a projective
space is algebraic ? is
justly famous; it shows the close analogy
between algebraic
geometry and algebraic number theory.
Contents:
Zur Algebraische Geometrie IX (with Van Der Waerden)
Uber Systemen Von Linearen Partiellen Differentialgleichungen Erster Ordnung
On Compact Complex Analytic Varieties
On the Geometry of Algebraic Homogeneous Spaces
On the Defining Field of a Divisor in an Algebraic Variety
Abelian Varieties over Function Fields
On Equivalence Classes of Cyles in an Algebraic Variety
Algebraic Varieties with Rational Dissections
On the Theorem of Bertini for Local Domains
On the Connectedness Theorem in Algebraic Geometry
On Meromorphic Maps of Algebraic Varieties
Formal Function on Homogeneous Spaces
and other papers
Readership: Researchers in algebraic geometry.
World Scientific Series in 20th Century Mathematics - Vol. 8
550pp (approx.) Pub. date: Scheduled Fall 2002
ISBN 981-238-094-9
This book discusses the origins of ornamental
art ?
illustrated by the oldest examples, dating
mostly from the
paleolithic and neolithic ages, and considered
from the theory-of-symmetry
point of view. Because of its multidisciplinary
nature, it will
interest a wide range of readers: mathematicians,
artists, art
historians, architects, psychologists, and
anthropologists.
The book represents the complete analysis
of plane symmetry
structures, so it can be used by artists
as a guide to the
creation of new symmetry patterns. Some parts
of the contents (such
as Chapter 4, about conformal symmetry, and
Chapter 6, about
modularity in art) give the reader an opportunity
to develop
computer programs for producing images illustrating
the
corresponding symmetry forms.
Contents:
Theory of Isometric Symmetry Groups in E2 and Ornamental Art
Similarity Symmetry E2
Conformal Symmetry in E2\{O}
The Theory of Symmetry and Ornamental Art
Modularity in Art
Readership: Mathematicians, psychologists,
anthropologists, architects, artists and
art historians.
Series on Knots and Everything - Vol. 30
340pp (approx.) Pub. date: Scheduled Fall 2002
ISBN 981-238-080-9
The thematic term on "Semigroups, Algorithms,
Automata
and Languages" organized at the International
Centre of
Mathematics (Coimbra, Portugal) in May?July
2001 was the
gathering point for researchers working in
the field of
semigroups, algorithms, automata and languages.
These areas were
selected considering their huge recent developments,
their
potential applications, and the motivation
from other fields of
mathematics and computer science.
This proceedings volume is a unique collection
of advanced
courses and original contributions on semigroups
and their
connections with logic, automata, languages,
group theory,
discrete dynamics, topology and complexity.
A selection of open
problems discussed during the thematic term
is also included.
Contents:
Dynamics of Finite Semigroups (J Almeida)
On Existence Varieties of Regular Semigroups (K Auinger)
Finite Semigroups ? Imposing Tractable Constraints (A Bulatov et al.)
Some Pseudovariety Joins Involving Locally Trivial Semigroups and Groups (J C Costa)
Some Relatives of Automatic and Hyperbolic Groups (M Hoffmann et al.)
Profinite Groups and Applications to Finite Semigroups (L Ribes)
A Survey of a Topological Approach to Inverse Semigroups (B Steinberg)
Decidability Problems in Finite Semigroups (P Trotter)
On the Efficiency and Deficiency of Rees Matrix Semigroups (C Campbell et al.)
Partial Actions of Groups on Relational Structures: A Connection Between Model Theory and Profinite Topology (T Coulbois)
Finite Semigroups and the Logical Description of Regular Languages (H Straubing)
Diamonds are Forever: The Variety DA (P Tesson & D Therien)
Finite Semigroups: An Introduction to an Unified Theory of Pseudovarieties (J Almeida)
Varieties of Languages (M Branco)
A Short Introduction to Automatic Group Theory (C Choffrut)
Some Results on Semigroups Rings and Semigroup-Graded Rings (W D Munn)
Readership: Researchers, academics and graduate
students in pure mathematics and computer
science.
500pp (approx.) Pub. date: Scheduled Winter 2002
ISBN 981-238-099-X
A random field is a mathematical model of
evolutional fluctuating complex systems parametrized
by a multi-dimensional manifold like a curve
or a surface. As the parameter varies, the
random field carries much information and
hence it has complex stochastic structure.
The authors of this book use an approach
that is characteristic:
namely, they first construct innovation,
which is the most
elemental stochastic process with a basic
and simple way of
dependence, and then express the given field
as a function of the
innovation. They therefore establish an infinite-dimensional
stochastic calculus, in particular a stochastic
variational
calculus. The analysis of functions of the
innovation is
essentially infinite-dimensional. The authors
use not only the
theory of functional analysis, but also their
new tools for the
study.
Contents:
Background
Probabilistic Properties of Random Fields
Gaussian Random Fields
Some Non-Gaussian Random Fields
Variational Calculus for Random Fields
Innovation Approach
Reversibility
Applications
Readership: Graduate students and researchers
in pure and applied mathematics, as well
as theoretical physicists.
200pp (approx.) Pub. date: Scheduled Winter 2002
ISBN 981-238-095-7
2002. IX, 231 pp. Hardcover
0-387-95350-7
This book will interest and assist people
who are dealing with the problems of predicitons
of time series in higher education and research.
It will greatly assist people who apply time
series theory to practical problems in their
work and also serve as a textbook for postgraduate
students in statistics economics and related
subjects.
Keywords: Time Series Analysis
Contents: Basic Mathematics and Statistics.-
Random Processes and Time Series.- Estimation
of Time Series Parameters.- Predictions in
Time Series.- Empirical Predictors.
Cloth | 2001 | ISBN: 0-691-09527-2
224 pp. | 6 x 9 | 7 halftones. 46 line illus.
When John Nash won the Nobel prize in economics
in 1994, many people were surprised to learn
that he was alive and well. Since then, Sylvia
Nasar's celebrated biography, the basis of
a new major motion picture, has revealed
the man. The Essential John Nash reveals
his work--in his own words. This book presents,
for the first time, the full range of Nash's
diverse contributions not only to game theory,
for which he received the Nobel, but to pure
mathematics, in which he commands even greater
acclaim among academics. Included are nine
of Nash's most influential papers, most of
them written over the decade beginning in
1949.
From 1959 until his astonishing remission
three decades later, the man behind the concepts
"Nash equilibrium" and "Nash
bargaining"--concepts that today pervade
not only economics but nuclear strategy and
contract talks in major league sports--had
lived in the shadow of a condition diagnosed
as paranoid schizophrenia. In the introduction
to this book, Nasar recounts how Nash had,
by the age of thirty, gone from being a wunderkind
at Princeton and a rising mathematical star
at MIT to the depths of mental illness.
In his preface, Harold Kuhn offers personal
insights on his longtime friend and colleague;
and in introductions to several of Nash's
papers, he provides scholarly context. In
an afterword, Nash describes his current
work, and he discusses an error in one of
his papers. A photo essay chronicles Nash's
career from his student days in Princeton
to the present. Also included are Nash's
Nobel citation and autobiography.
The Essential John Nash makes it plain why
one of Nash's colleagues termed his style
of intellectual inquiry as "like lightning
striking." All those inspired by Nash's
dazzling ideas will welcome this unprecedented
opportunity to trace these ideas back to
the exceptional mind they came from.
Harold W. Kuhn is Professor Emeritus of Mathematics
at Princeton University. Winner of the 1980
von Neumann Prize in Theory, he is the editor
of several books (all Princeton), including
Classics in Game Theory, Linear Inequalities
and Related Systems, Contributions to the
Theory of Games, I and II, and is the author
of Lectures on the Theory of Games (forthcoming,
Princeton). Sylvia Nasar tells the story
of Nash's life in A Beautiful Mind (Simon
& Schuster), which won the National Book
Critics Circle Award in 1999 and was a finalist
for the Pulitzer Prize. A former economics
reporter for the New York Times, she was
recently named the John S. and James L. Knight
Professor of Journalism at Columbia University.
Table of Contents:
PREFACE by Harold W. Kuhn vii
INTRODUCTION by Sylvia Nasar xi
Chapter 1: Press Release--The Royal Swedish Academy of Sciences 1
Chapter 2: Autobiography 5
Photo Essay 13
Editor's introduction to Chapter 3 29
Chapter 3: The Game of Hex by John Milnor 31
Editor's Introduction to Chapter 4 35
Chapter 4: The bargaining problem 37
Editor's Introduction to Chapters 5, 6, and 7 47
Chapter 5: Equilibrium Points in n-Person games 49
Chapter 6: Non-Cooperative Games Facsimile of Ph.D. Thesis 51
Chapter 7: Non-Cooperative Games 85
Chapter 8: Two-Person Coooperative Games 99
Editor's Introduction to Chapter 9 115
Chapter 9: Parallel Control 117
Chapter 10: real Algebraic Manifolds 127
Chapter 11: The Imbedding problem for Riemannian Manifolds 151
Chapter 12: Continuity of Solutions of Parabolic and Elliptic Equations 211
AFTERWORD 241
SOURCES 243