World Scientific Lecture Notes in Complex
Systems - Vol. 1
This book is an inspirational introduction
to modern research
directions and scholarship in nonlinear dynamics,
as well as a
valuable reference for researchers in the
field. The scholarly
level is aimed at the beginning postgraduate
student, with a
potential readership drawn from disciplines
in mathematics and
the physical sciences.
In addition to new pedagogical material,
each chapter provides a
review of the current state of the area and
a discussion on open
problems. The contributors include Brian
Davies (bifurcations in
maps), Nalini Joshi (integrable systems and
asymptotics), Alan
Newell (wave turbulence and pattern formation),
Carl Weiss (spatial
solitons), Cathy Holmes (Hamiltonian systems),
Tony Roberts (dissipative
fluid mechanics), John Brindley (nonlinear
dynamics in the oceans)
and Mike Lieberman (Fermi acceleration).
Readership: Postgraduate students and researchers
in mathematics
and the physical sciences.
350pp (approx.) Pub. date: Scheduled Summer
2003
ISBN 981-238-320-4
Nankai Tracts in Mathematics - Vol. 6
Riemann-Finsler geometry is a subject that
concerns manifolds
with Finsler metrics, including Riemannian
metrics. It has
applications in many fields of the natural
sciences. Curvature is
the central concept in Riemann?Finsler geometry.
This invaluable
textbook presents detailed discussions on
important curvatures
such the Cartan torsion, the S-curvature,
the Landsberg curvature
and the Riemann curvature. It also deals
with Finsler metrics
with special curvature or geodesic properties,
such as
projectively flat Finsler metrics, Berwald
metrics, Finsler
metrics of scalar curvature or isotropic
S-curvature, etc.
Instructive examples are given in abundance,
for further
description of some important geometric concepts.
The text
includes the most recent results, although
many of the problems
discussed are classical.
Contents:
Finsler Metrics
Structure Equations
Equivalence Problem
Geodesics
Non-Riemannian Curvatures
Riemann Curvature
Finsler Metrics of Scalar Curvature
Randers Metrics of Scalar Curvature
Berwald Metrics
Projectively Flat Finsler Metrics
Readership: Graduate students and researchers
in differential
geometry.
200pp (approx.) Pub. date: Scheduled Fall
2003
ISBN 981-238-357-3
ISBN 981-238-358-1(pbk)
Monographs of the Portuguese Mathematical Society - Vol. 1
This book is made up of two essays on the
role of time in
probability and quantum physics. In the first
one, K L Chung
explains why, in his view, probability theory
starts where random
time appears. This idea is illustrated in
various probability
schemes and the deep impact of those random
times on the theory
of the stochastic process is shown.
In the second essay J-C Zambrini shows why
quantum physics is not
a regular probabilistic theory, but also
why stochastic analysis
provides new tools for analyzing further
the meaning of Feynman's
path integral approach and a number of foundational
issues of
quantum physics far beyond what is generally
considered. The role
of the time parameter, in this theory, is
critically re-examined
and a fresh way to approach the long-standing
problem of the
quantum time observable is suggested.
Contents:
Introduction to Random Time:
Prologue
Stopping
Martingale Stopped
Random Past and Future
Other Times
From First to Last
Gapless Time
Markov Chain in Continuum Time
The Trouble with Infinite
Introduction to Quantum Randomness:
Classical Prologue
Standard Quantum Mechanics
Probabilities in Standard Quantum Mechanics
Feynman's Approach to Quantum Probabilities
Schrodinger's Euclidean Quantum Mechanics
Beyond Feynman's Approach
Time for a Dialogue
Readership: Graduate students in mathematics
and physics.
220pp (approx.) Pub. date: Scheduled Summer
2003
ISBN 981-238-388-3
ISBN 981-238-415-4(pbk
The first International Conference on Inverse
Problems was
held at the City University of Hong Kong
in January 2002. It
addressed the theoretical (mathematics),
applied (engineering)
and development aspects of inverse problems.
It was intended to
nurture Asian-American European collaborations
in this evolving
interdisciplinary area.
The scope of the proceedings is wide, reflecting
the current
flourishing theoretical and numerical researches
on inverse
problems.
Contents:
Surveys
Theoretical Aspects
Numerical Methods
Solutions to Applied Inverse Problems
Related Topics
Readership: Academics, researchers and engineers
in applied
mathematics.
472pp Pub. date: Apr 2003
ISBN 981-238-366-2
Tensor analysis is an essential tool in any
science (e.g.
engineering, physics, mathematical biology)
that employs a
continuum description. This concise text
offers a straightforward
treatment of the subject suitable for the
student or practicing
engineer. The final chapter introduces the
reader to differential
geometry, including the elementary theory
of curves and surfaces.
A well-organized formula list, provided in
an appendix, makes the
book a very useful reference. A second appendix
contains full
hints and solutions for the exercises.
Contents:
Preliminaries
Transformations and Vectors
Tensors
Tensor Fields
Elements of Differential Geometry
Readership: Undergraduates in engineering
or physics, and
engineers.
250pp (approx.) Pub. date: Scheduled Summer
2003
ISBN 981-238-360-3