June 2003, ISBN 1-4020-1360-4, Hardbound
June 2003, ISBN 1-4020-1361-2, Paperback
Book Series: NATO SCIENCE SERIES: II: Mathematics,
Physics and
Chemistry : Volume 104
The main focus of this book is the recent
progress in the very
active areas of superstring theory, quantum
gravity and the
theory of elementary particles. It covers
topical problems in
such domains as duality between gravity and
gauge interactions,
string field theory, tachyon condensation,
non-commutative field
theory, string cosmology and string phenomenology.
Some
presentations give and elementary introduction
to their subject,
while others are geared to the specialist.
Contents and Contributors
Preface. I: Lectures. The non-ADS / non-CFT
correspondence, or
three different paths to QCD; O. Aharony.
Physics of low scale
string models; I. Antoniadis. Supergravityversus
topological
gravity; L. Baulieu. The holographic principle;
R. Bousso. Two
talks on a tentative theory of large distance
physics; D. Friedan.
A toy model for the M5-brane; J. Harvey.
D-branes on the
conifiold and ƒ« = 1 gauge/gravity dualities;
C.P. Herzog, et al.
Defects, decay, and dissipated states; E.J.
Martinec. String
dynamics on PP-waves from Yang Mills theory;
S. Minwalla. Seiberg
Witten prepotential, higher Casimirs, and
free fermions; N.A.
Nekrasov. Aspects of string motion in time-dependent
backgrounds;
E. Rabinovici. On the geometry of higher-spin
gauge fields; D.
Francia, A. Sagnotti. Open string creation
by S-branes; A.
Strominger. Topics in gauge theory/string
theory duality; E.
Verlinde. Open string star algebra and rolling
tachyons; B.
Zwiebach. II: Gong Show. Appendix. List of
speakers. List of
participants.
June 2003, ISBN 1-4020-1384-1, Hardbound
Book Series: INTERNATIONAL SOCIETY FOR ANALYSIS,
APPLICATIONS AND
COMPUTATION : Volume 10
This collection of survey articles gives
and idea of new methods
and results in real and complex analysis
and its applications.
Besides several chapters on hyperbolic equations
and systems and
complex analysis, potential theory, dynamical
systems and
harmonic analysis are also included. Newly
developed subjects
from power geometry, homogenization, partial
differential
equations in graph structures are presented
and a decomposition
of the Hilbert space and Hamiltonian are
given.
Audience: Advanced students and scientists
interested in new
methods and results in analysis and applications.
Contents and Contributors
Preface. 1. Decay and computability; I. Antoniou,
Z. Suchanecki.
2. Differential and pseudo-differential operators
on graphs as
models of mesoscopic systems; P. Kuchment.
3. Homogenization of
some multiparametric problems; N.S. Bakhvalov,
M.E. Eglit. 4.
Power geometry as a new calculus; A.D. Bruno.
5. A survey of Q
spaces and Q#-classes; M. Essen. 6. Hyperbolically
convex
functions; D. Mejia, Ch. Pommerenke. 7. Nevanlinna
theory in
characteristic P and applications; A. Boutabaa,
A. Escassut. 8. A
new property of meromorphic functions and
its applications; G.A.
Barsegian, C.C. Yang. 9. Complex zero decreasing
sequences and
the Riemann hypothesis II; G. Csordas. 10.
Theory of reproducing
kernels; S. Saitoh. 11. Analytic functions
and analytic
functionals on some balls in the complex
Euclidean space; K.
Fujita, M. Morimoto. 12. Batteries and energy
minimization
problems; P.M. Tamrazov. 13. Vector-valued
extensions of some
classical theorems in harmonic analysis;
M. Gerardi, L. Weis. 14.
Chaotic zone in the Bogdanov-Takens bifurcation
for
diffeomorphisms; V. Gelfreich. 15. Carleman
estimates for a plate
equation on a Riemann manifold with energy
level terms; I.
Lasiecka, et al. 16. Hyperbolicity for systems;
T. Nishitani. 17.
Strictly hyperbolic operators and approximate
energies; F.
Columbini, D. Del Santo. 18. Multiple high
oscillatory shoch
waves; Y.-G. Yang. 19. Exponential time decay
solutions of
Schrodinger equations and of wave equations
in even dimensional
spaces; Y. Dan, K. Kajitani. 20. Inverse
scattering for a small
nonselfadjoint perturbation of the wave equation;
K. Mochizuki.
May 2003, ISBN 1-4020-1330-2, Hardbound
June 2003, ISBN 1-4020-1331-0, Paperback
Book Series: TRENDS IN LOGIC : Volume 19
Since its birth, Model Theory has been developing
a number of
methods and concepts that have their intrinsic
relevance, but
also provide fruitful and notable applications
in various fields
of Mathematics. It is a lively and fertile
research area which
deserves the attention of the mathematical
world.
This volume
is easily accessible to young people and
mathematicians
unfamiliar with logic;
gives a terse historical picture of Model
Theory;
introduces the latest developments in the
area;
provides 'hands-on' proofs of elimination
of quantifiers,
elimination of imaginaries and other relevant
matters.
A Guide to Classical and Modern Model Theory
is for trainees and
professional model theorists, mathematicians
working in Algebra
and Geometry and young people with a basic
knowledge of logic.
June 2003, ISBN 1-4020-1338-8, Hardbound
The Concise Encyclopedia of Supersymmetry
presents outstanding
achievements and ideas, both well-established
and more recent, in
quantum field theory, supersymmetry, supergravity,
M-theory,
black holes and quantum gravity, noncommutative
geometry,
representation theory, categories and quantum
groups, which
pushes the reader at the forefront of the
latest their
developments.
The Concise Encyclopedia of Supersymmetry
consists of more than
600 clear and informative, but comprehensive,
authored articles
and definitions from more than 250 high level
experts and well-known
scientists including Nobel Prize Winner Gerard
't Hooft, Fields
Medal winner Alain Connes and Stephen Adler.
As an Introduction it contains the "SUSY
story", a
collection of informal articles by founders
of the field of
supersymmetry and precursors with their rarest
extraordinary
memories and phenomenal explanations how
and why they started
with the idea of supersymmetry in 60th-70th.
For convenience and
searching the SUSY Encyclopedia contains
a very detailed Subject/Article
three level index (more than 50 three-column
pages) and an Author
index. The Encyclopedia will be an essential
and indispensable
reference book, handbook and guide for research
workers, Ph.D.
students, specialists and professionals in
supersymmetry, quantum
groups, noncommutative geometry and other
modern methods of
theoretical and mathematical physics.
July 2003, ISBN 1-4020-1390-6, Hardbound
This text gives the most recent results in
Finsler and related
geometries from the Miron school.
Both pure and applied topics are covered.
For example Higher-Order
geometry, Hamilton and Cartan spaces, Legendre
transformations,
self-duality in Gauge fields, constant curvature
spaces,
Electromagnetics, Gravity theory, Black Holes,
complex Finsler
geometry and Finsler-Lagrange-Hamilton structures
in control and
optimization. There is also an article on
Finsler Seismic ray
theory which uses the software FINSLER based
on MAPLE.