From August to September 1998, a group of
75 physicists from 52 laboratories in 15
countries met in Erice, Italy, for the 36th
Course of the
International School of Subnuclear Physics.
This book constitutes the proceedings of
that meeting. It reviews the present status
of subnuclear
physics and its connections with the fundamental
problems of physics, such as the unification
of all gauge forces.
Contents:
Opening Lecture (E Witten)
Hot Topics (G G Ross, H Fritzsch, G M Shore,
E V Shuryak, D Kharzeev, M Koshiba, S L Glashow)
HEP from the QCD to the GUT Scale (G 't Hooft,
R Barbieri, G Giudice, E Rabinovici, R Kenway)
Gravity and Cosmology: Towards the Hubble
Radius (K Skenderis)
Are There Alternatives to Standard Inflation?
(N Turok, G Veneziano)
The Glorious Days of Physics (G 't Hooft)
Reports (U F Becker, A Wagner, A Bettini)
Future (B H Wiik, A Zichichi)
Special Sessions for New Talents (M Blasone,
D Enström, D Holtmannspötter, A Kempf, S
Mele, T Montaruli, A Quadt, A Sinkovics,
A
Werthenbach)
Closing Lecture (L D Fadeev)
Readership: High energy, experimental and
theoretical physicists.
680pp (approx.)
Pub. date: Scheduled Spring 2000
ISBN 981-02-4190-9
The Wolf Prize, awarded by the Wolf Foundation
in Israel, often goes to mathematicians who
are in their sixties or older. That is to
say, the Prize honours the achievements of
a lifetime.
This invaluable book features bibliographies,
important papers, and speeches (for example
at international congresses) of Wolf Prize
winners, such
as H Cartan, S S Chern, S Eilenberg, P Erdös,
F Hirzebruch, L Hörmander, J B Keller, K
Kodaira, M G Krein, R Langlands, etc. This
is the first time
that lectures by some Wolf Prize winners
have been published together. Since the work
of the Wolf laureates covers a wide spectrum,
much of the
mathematics of the twentieth century comes
to life in this book.
Readership: Mathematicians.
750pp (approx.)
Pub. date: Scheduled Spring 2000
ISBN 981-02-3945-9
Neither a list of theorems and proofs nor
a recipe for elementary matrix calculations,
this textbook acquaints the student of applied
mathematics
with the concepts of linear algebra — why
they are useful and how they are used. As
each concept is introduced, it is applied
to multivariable
calculus or differential equations, extending
and consolidating the student's understanding
of those subjects in the process.
Contents:
Vectors
Matrices
Vector Spaces and Linear Functions
Bases
Subspaces and Linear Equations
Inner Products and Differential Vector Calculus
Determinants and Integral Vector Calculus
Eigenvectors and Diagonalization
Readership: Science and engineering undergraduates.
400pp (approx.)
Pub. date: Scheduled Spring 2000
ISBN 981-02-4196-8
Proceedings of the International Conference
Beijing and Chende, Hebei, China 8 - 14 August
1999
In this proceedings volume, the following
topics are discussed: (1) various boundary
value problems for partial differential equations
and functional
equations, including free and moving boundary
problems; (2) the theory and methods of integral
equations and integral operators, including
singular
integral equations; (3) applications of boundary
value problems and integral equations to
mechanics and physics; (4) numerical methods
of integral
equations and boundary value problems; and
(5) some problems related with analysis and
the foregoing subjects.
Contents:
Spectral Properties of Potential Type Operators
on Smooth and Lipschitz Surfaces (M Agsnovich)
The Riemann–Hilbert Problem for a Representation
of a Higher Dimensional Homology Group on
a Real Manifold (A Asada & O Suzuki)
Hypercomplex Bitsadze System (H Begehr)
The Geometry of Riemann–Hilbert Transmission
Problem (B Bojarski)
Galerkin Solution to a Singular Integro-Differential
Equation (Y F Gong & J Y Du)
Integro-Differential Equations with Non-Densely
Defined Operators (M He)
The Effects of Boltzmann Equation for the
Conjecture of Existence of Antimatter (L
T Huang)
On Second Fundamental Crack Problems with
Cyclic Symmetry (J K Lu)
Integral Equations in Inverse Scattering
(C V D Mee)
Boundary Value Problems for Second Order
Hyperbolic Systems with Super-Singular Point
(N Rajabov)
Discontinuous Boundary Value Problems for
Nonlinear Elliptic Equations of Second Order
(G C Wen & M Y Tian)
A Free Boundary Problem in Nonlinear Plane
Filtration (Z L Xu et al.)
Plastic Zone and Opening Displacement for
an Asymmetrical Semi-Infinite Crack in a
Strip in Static State (X C Yang & T Y
Fan)
The Computation of Bergmann Kernel (W P Yin
& Z G Zhao)
A Kind of Hankel and Toeplitz Type Operators
on Product Space of Unit Disks (C G Zhang)
Inverse Boundary Value Problems of Two Classes
on Closed Contour and Singular Integral Equations
of Three Classes (C Zhao)
Oblique Derivative Problems for Parabolic
Equations with VMO Coefficients (B T Zou)
and other papers
Readership: Researchers in the fields of
analysis & differential equations, numerical
& computational methods and applied mathematics.
320pp (approx.)
Pub. date: Scheduled Spring 2000
ISBN 981-02-4197-6
The recent revolution in differential topology
related to the discovery of non-standard
("exotic") smoothness structures
on topologically trivial
manifolds such as R4 suggests many exciting
opportunities for applications of potentially
deep importance for the spacetime models
of theoretical
physics, especially general relativity. This
rich panoply of new differentiable structures
lies in the previously unexplored region
between topology
and geometry. Just as physical geometry was
thought to be trivial before Einstein, physicists
have continued to work under the tacit —
but now
shown to be incorrect — assumption that differentiability
is uniquely determined by topology for simple
four-manifolds. Since diffeomorphisms are
the mathematical models for physical coordinate
transformations, Einstein's relativity principle
requires that these models be physically
inequivalent. This book provides an introductory
survey of some of the relevant mathematics
and presents preliminary results and suggestions
for
further applications to spacetime models.
Contents:
Introduction and Background
Gauge Theory and Moduli Space
Topological Techniques
Early Exotic Manifolds
The First Results in Dimension 4
Seiberg–Witten Theory: The Modern Approach
Physical Implications
Speculations
Readership: Students and researchers in mathematical
physics, general relativity and differential
topology.
250pp (approx.)
Pub. date: Scheduled Summer 2000
ISBN 981-02-4195-X
This book provides an introduction to those
parts of analysis that are most useful in
applications for graduate students. The material
is selected
for use in applied problems, and is presented
clearly and simply but without sacrificing
mathematical rigor.
The text is accessible to students from a
wide variety of backgrounds, including undergraduate
students entering applied mathematics from
non-mathematical fields and graduate students
in the sciences and engineering who want
to learn analysis. A basic background in
calculus, linear
algebra and ordinary differential equations,
as well as some familiarity with functions
and sets, should be sufficient.
Contents:
Metric and Normed Spaces
Continuous Functions
The Contraction Mapping Theorem
Topological Spaces and Banach Spaces
Hilbert Spaces
Fourier Series
Linear Operators on a Hilbert Space
The Spectrum of Bounded Linear Operators
Unbounded Linear Operators and Green's Functions
Distributions and the Fourier Transform
Measure and Integration
Lp Spaces
Sobolev Spaces
Differentiation and Variational Calculus
Readership: Graduate students in applied
analysis.
320pp (approx.)
Pub. date: Scheduled Summer 2000
ISBN 981-02-4191-7
World Scientific Series in 20th Century Physics
by Emil Wolf (University of Rochester)
This invaluable book presents most of the
important papers of Emil Wolf, published
over half-a-century. It covers chiefly diffraction
theory
(especially the analysis of the focal region),
the theory of direct and inverse scattering,
phase-space methods in quantum mechanics,
the
foundation of radiometry, phase conjugation
and coherence theory. Several papers which
have become classics of the optical literature
are
included, such as those on Wolf's rigorous
formulation of the theory of partial coherence
and partial polarization, the introduction
of diffraction
tomography, and his discovery of correlation-induced
shifts of spectral lines (often called the
Wolf effect). There are also papers dealing
with the
historical development of optics and some
review articles.
Readership: Physicists and engineers, particularly
optical scientists and optical engineers.
500pp (approx.)
Pub. date: Scheduled Autumn 2000
ISBN 981-02-4204-2
ISBN 981-02-4205-0(pbk)