edited by
A Dmitrievsky (Russian Academy of Sciences & Oil and Gas
Research Institute)
& M Panfilov (Russian Academy of Sciences & Moscow State
LomonosovUniversity)
Physics, Models, Simulation ;Moscow, Russia 19 -
21 November 1997
This book concerns a rapidly developing area of science that
deals with the behavior of porous media
saturated by fluids. Three basic aspects of this field are
ratheruniformly balanced in the book; namely,
complex physical mechanisms of processes in porous media, new
mathematical models, and numerical
methods of process study.
The following topics are included: homogenization and up-scaling
of flow through heterogeneous media; micro-structural laws of
complex flow at the pore scale; flow with phase transition and
chemical reactions
in porous media; wave propagation in saturated porous media;
numerical model of flow in natural oil reservoirs; non-classical
models of flow, percolation, fractals, foam flow; multi-phase
flow with free surface.
The contributors to this volume are leading researchers in the
field.
Contents:
Physics of Processes with Phase Transition in Porous Media
Dynamics of the Fluid/Fluid Interface. Istability
New Models of Two-Phase Flow through Porous Media
Flow of Foam and Non-Newtonian Fluids
Averaged Models of Navie-Stokes Flow in Porous Media
Homogenization of Flow through Highly Heterogeneous Media
Groundwater Pollution Models
Inverse Problems, Optimization, Parameter Estimation
Readership: Applied mathematicians.
420pp (approx.)
Pub. date: Summer 1999
ISBN 981-02-4126-7
edited by Lan Wen (Beijing University) & Yunping Jiang (CUNY)
Proceedings of the International Conference
Beijing University, China 9 - 12 August 1998
This volume constitutes the proceedings of the International
Conference on Dynamical Systems
in Honor of Prof. Liao Shantao (1920・7). The Third World
Academy of Sciences awarded the first ever mathematics prize in
1985 to Prof. Liao in recognition of his foundational work in
differentiable dynamical systems and his work in periodic
transformation of spheres. The conference was held in Beijing in
August 1998. There were about 90 participants, and nearly 60
talks were delivered.
The topics covered include differentiable dynamics, topological
dynamics, hamiltonian dynamics, complex dynamics, ergodic and
stochastic dynamics, and fractals theory. Dynamical systems is a
field with many difficult problems, and techniques are being
developed to deal with those problems. This volume contains
original studies of great
mathematical depth and presents some of the fascinating numerical
experiments.
Contents:
The Dynamics of the Henon-Like Maps (Y-L Cao)
Nonchaos for Substitution Minimal Systems (Q-J Fan et al.)
A Note on the Obstruction Sets of Discrete Systems (S-B Gan)
Topological Pressure of Continuous Flows Without Fixed Points
(L-F He et al.)
Nonlinearity, Quasisymmetry, Differentiability, and Rigidity in
One-Dimensional Dynamics (Y-P Jiang)
The Stability of the Equilibrium of Planar Hamiltonian Systems (B
Liu)
Existence and Uniqueness of Analytic Solutions of Iterative
Functional Equations (J-H Mai & X-H Liu)
On Bimodal Collet-Eckmann Maps (L-Y Wang)
An Introduction to the C1 Connecting Lemma (W Lan)
Partial Entropy, Bundle-Like Entropy and Topological Entropy (F-P
Zeng)
and other papers
Readership: Research mathematicians and graduates in analysis and
differential equations.
350pp (approx.)
Pub. date: Autumn 1999
ISBN 981-02-4102-X
by Charles T Mode & Candace K Sleeman (Drexel University, USA)
AIDS (autoimmune deficiency syndrome) is a
devastating human disease caused by HIV, a human immunodeficiency
virus, which may be transmitted by either sexual or other
contacts in which body fluids are exchanged. Cases of AIDS have
been reported in a majority of countries throughout the world,
indicating that the HIV/AIDS epidemic is international in scope.
This book deals with the mathematical and statistical techniques
underlying the models used to understand the population dynamics
of not only HIV/AIDS but also other infectious diseases.
Attention is given to the development strategies for the
prevention and control of the international epidemic within the
frameworks of the models.
Two distinguishing features of the book are the incorporation of
stochastic and deterministic formulations within a unifying
conceptual framework and the discussion of issues related to the
mathematical designs of models, which are necessary for the
rigorous utilization of computer-intensive methods. The book will
be of value to applied
mathematicians, biomathematicians, biostatisticians,
epidemiologists and other scientists interested in applying
mathematics and computers to not only the HIV/AIDS epidemic but
also other fields of epidemiology.
Contents:
Biology and Epidemiology of HIV/AIDS
Models of Incubation and Infectious Periods
Continuous Time Markov and Semi-Markov Jump Processes
Semi-Markov Jump Processes in Discrete Time
Models of HIV Latency Based on Log-Gaussian Processes
The Threshold Parameter of One-Type Branching Processes
SIS and SIR Models in Finite Populations
Threshold Parameters for Multi-type Branching Processes
Threshold Parameters and Computer Intensive Methods
On Modeling an HIV/AIDS Epidemic in a Homo烹isexual Population
without Partnerships
On Modeling a HIV/AIDS Epidemic in a Homo烹isexual Population of
Males with Partnerships and
Heterogeneous Risk Behavior
On Modeling an HIV/AIDS Epidemic in a Heterosexual Population
with Partnership Formation and
Heterogeneous Risk Behavior
Age-Dependent Models in Heterosexual Populations with
Partnerships
Epilogue
Readership: Mathematical & quantitative biologists,
epidemiologists, mathematicians, operations research workers,
statisticians and biostatisticians.
600pp (approx.)
Pub. date: Autumn 1999
ISBN 981-02-4097-X
by R C Penner (University of Southern California)
Proof Techniques and Mathematical Structures
This book offers an introduction to mathematical proofs and to
the fundamentals of modern mathematics.
No real prerequisites are needed other than a suitable level of
mathematical maturity. The text is divided
into two parts, the first of which constitutes the core of a
one-semester course covering proofs, predicate
calculus, set theory, elementary number theory, relations, and
functions, and the second of which applies
this material to a more advanced study of selected topics in pure
mathematics, applied mathematics,
and computer science, specifically cardinality, combinatorics,
finite-state automata, and graphs. In both parts,
deeper and more interesting material is treated in optional
sections, and the text has been kept flexible by
allowing many different possible courses or emphases based upon
different paths through the volume.
Contents:
Part 1: Proof Techniques
Predicate Calculus
Set Theory
Elementary Number Theory
Relations
Functions
Part 2: Cardinality
Elements of Combinatorics
Languages and Finite-State Automata
Graphs
Readership: Undergraduates in mathematics.
450pp (approx.)
Pub. date: Autumn 1999
ISBN 981-02-4088-0
Advanced Series on Statistical
Science and Applied Probability
by A N Shiryaev (Steklov Institute, Russia) & V G Spokoiny
(Weierstrass Institute, Germany)
Asymptotic Theory
This volume provides an exposition of some fundamental aspects of
the asymptotic theory of statistical
experiments. The most important of them is "how to construct
asymptotically optimal decisions if we know the structure of
optimal decisions for the limit experiment".
Contents:
Statistical Experiments and Their Comparison
Convergence of Statistical Experiments
(g,G)-Models. Convergence to (g,G)-Models
Local Convergence of Statistical Experiments and Global
Estimation
Statistical Inference for Autoregressive Models of the First
Order
Readership: Researchers in probability and statistics.
320pp (approx.)
Pub. date: Autumn 1999
ISBN 981-02-4101-1
World Scientific Series in 20th
Century Mathematics - Vol. 7
edited by Roderick Wong (City University of Hong Kong)
This is a collection of selected papers written
by Frank W J Olver from 1949 to 1999. It contains his most
important contributions to the field of asymptotic analysis,
including the global existence of uniform asymptotic expansions
for solution of ordinary differential equations and constructions
of error bounds. It is a valuable
collection for anyone who works in, or uses, asymptotics, and
should be on the shelves of all major libraries.
Contents:
Transformation of Certain Series Occurring in Aerodynamic
Interference Calculations
Note on the Asymptotic Expansion of Generalized Hypergeometric
Functions
The Asymptotic Solution of Linear Differential Equations of the
Second Order in a Domain Containing
One Transition Point
Error Bounds for First Approximations in Turning-Point Problems
Numerical Solution of Second-Order Linear Difference Equations
A Paradox in Asymptotics
Unsolved Problems in the Asymptotic Estimation of Special
Functions
Improved Error Bounds for Second-Order Differential Equations
with Two Turning Points
Asymptotic Behavior of Integrals of Bessel Functions of High
Order
Generalized Exponential and Logarithmic Functions
Airy and Bessel Functions by Parallel Integration of ODEs
On the Asymptotic and Numerical Solution of Linear Ordinary
Differential Equations
and other papers
Readership: Graduates in asymptotic analysis, differential
equations and numerical & computational methods.
1100pp (approx.)
Pub. date: Autumn 1999
ISBN 981-02-4106-2(set)
World Scientific Series in 20th
Century Physics - Vol. 24
by Antonino Zichichi (University of Bologna,
Italy; National Institute of Nuclear Physics, Italy; CERN,
Switzerland; World Federation of Scientists, Beijing, Geneva,
Moscow, New York)
edited by O Barnabei (Bologna Academy of Sciences, Italy), P
Pupillo & F Roversi Monaco (University of Bologna, Italy)
For the Galvani Bicentenary Celebrations, the University of
Bologna and its Academy of Sciences singled out subnuclear
physics as the field of scientific research to beassociated with
this important event, as it would best illustrate, for the new
generation of students, the challenge inherent in fundamental
sciences.
Subnuclear physics was born 50 years ago and has represented,
ever since, the new frontiers of Galilean science.
In his opening lecture delivered on the first day of the new
academic year, Professor Antonino Zichichi analytically reviewed
the basic conceptual developments and main discoveries achieved
in subnuclear physics during the
last 50 years. Given the importance of this field of fundamental
research, Professor Zichichi was invited to expand the contents
of his lecture into a book, and the outcome is this invaluable
volume.
Contents:
Introduction: Italy as an Example
The Old Big Problems Now
Achievements in the Past Fifty Years: A Telegraphic Synthesis: We
Are All Children of the Dirac Equation
From the Lamb-Shift to Scaling and to the Supersymmetry Threshold
From the p-Meson to the Third Family of Leptons
From the p0 to the ABJ Anomaly and to the Instantons
From the V0-Particles to Flavour Mixing, CP Violation and T
Breaking
From the V0-Particles to SU(3)f and SU(3)c
Topics Well Known to Me: Nuclear Antimatter
The Third Lepton
The Effective Energy
The Pseudoscalar Mesons and the Beppo Particle
Unification and the SUSY Threshold
The Gap
The Basic Steps: The Renormalization Group Equations, RGEs
The Gauge Principle and the Fundamental Forces
The Physics of Imaginary Masses, SSB
Flavour Mixing, CP Violation and T Breaking
Anomalies and Instantons
Anomalies
Instantons
The ELN Project: The Steps Towards ELN
The ELN Conceptual Design
Results on Energy and Luminosity Limits
R&D for Detectors
Physics Scenarios and Montecarlo Simulation Studies
Why 200 TeV Now
Readership: Physicists.
220pp (approx.)
Pub. date: Scheduled Autumn 1999
ISBN 981-02-4123-2
World Scientific Series in 20th Century Physics - Vol. 25
by V N Gribov, G 't Hooft, G Veneziano & V
F Weisskopf
edited by L N Lipatov
In Honour of A Zichichi on the Occasion of the
Galvani Bicentenary Celebrations
The University of Bologna and its Academy of Sciences, in
collaboration with the Italian National Institute
for Nuclear Physics and the Italian Physical Society, celebrated
in 1998 the bicentenary of a great pioneer
in the field of electric phenomena ・Luigi Galvani, the father
of macroelectricity. During these two centuries, the physics of
electric phenomena has given rise first to the Maxwell equations,
then to quantum electrodynamics,
and finally to the synthesis of all reproducible phenomena, the
"Standard Model". A cornerstone of the Standard
Model is quantum chromodynamics (QCD), which describes the
interaction between quarks and gluons in the
innermost part of the structure of matter.
The discovery of QCD will be recalled in the future as one of the
greatest achievements of mankind. Many physicists, the world
over, have contributed to its creation on both the experimental
and the theoretical front. Professor Antonino Zichichi has played
an important role in this scientific venture, as documented by
his works which are reproduced in this invaluable volume.
One of the founders of European physics, Professor Victor F
Weisskopf, contributes with his memories of the time when QCD had
many problems. This volume owes its existence to a founding
father of QCD, Professor Vladimir N Gribov, whose sudden demise
prevented him from directly contributing to its final edition.
Two world leaders
in subnuclear theoretical physics, Professors Gerardus 't Hooft
and Gabriele Veneziano, illustrate the significance
of the contributions of Antonino Zichichi in QCD.
Contents:
Preface (O Barnabei et al.)
Introduction (L N Lipatov)
Three Problems Facing QCD (V F Weisskopf)
The Creation of Quantum Chromodynamics (G 't Hooft)
The Effective Energy and the Universality Features in QCD
Processes (G Veneziano)
Readership: High energy and mathematical physicists.
400pp (approx.)
Pub. date: Scheduled Autumn 1999
ISBN 981-02-4141-0