2004, VIII, 152 p., Softcover
ISBN: 88-470-0247-8
This book can be an invaluable instrument
for overviewing the
latest and newest issues in nonlinear analysis
and applications
to physiscal sciences. This volume contains
the Lecture Notes of
the school on this subject held in S. Momme'
(Pistoia) in May
2002. The aim of the school was to introduce
a wide audience of
mathematicians, physicists and engineers
to some advanced topics
in nonlinear analysis and applications to
physiscal sciences.
This work covers some aspects of nonlinear
analysis and
applications such as fractal analysis, variational
methods in
nonlinear field equations, self contact problems
in lasticity,
qualitative properties of solutions of variational
problems.
Written for:
Scientists, institutes, libraries, practitioners,
industry
Keywords:
Analysis
Applied Mathematics
Physics
Series: Springer Series in Statistics
2004, Approx. 270 p., Hardcover
ISBN: 0-387-20078-9
Due: April 2004
This book presents a unified theory of rare
event simulation and
the variance reduction technique known as
importance sampling
from the point of view of the probabilistic
theory of large
deviations. This perspective allows us to
view a vast assortment
of simulation problems from a unified single
perspective. It
gives a great deal of insight into the fundamental
nature of rare
event simulation. Until now, this area has
a reputation among
simulation practitioners of requiring a great
deal of technical
and probabilistic expertise. This text keeps
the mathematical
preliminaries to a minimum with the only
prerequisite being a
single large deviation theory result that
is given and proved in
the text. Large deviation theory is a burgeoning
area of
probability theory and many of the results
in it can be applied
to simulation problems. Rather than try to
be as complete as
possible in the exposition of all possible
aspects of the
available theory, the book concentrates on
demonstrating the
methodology and the principal ideas in a
fairly simple setting.
The book contains over 50 figures and detailed
simulation case
studies covering a wide variety of application
areas including
statistics, telecommunications, and queueing
systems. James A.
Bucklew holds the rank of Professor with
appointments in the
Department of Electrical and Computer Engineering
and in the
Department of Mathematics at the University
of Wisconsin-Madison.
He is the author of "Large Deviation
Techniques in Decision,
Simulation, and Estimation".
Table of contents
Random Number Generation.- Stochastic Models.-
Large Deviation
Theory.- Importance Sampling.- The Large
Deviation Theory of
Importance Sampling Estimators.- The Large
Deviation Theory of
Conditional Importance Sampling Estimators.-
The Large Deviations
of Bias Point Selection.- Chernoff's Bound
and Asymptotic
Expansions.- Gaussian Systems.- Universal
Simulation
Distributions.- Rare Event Simulation for
Level Crossing and
Queueing Models.- Blind Simulation.- The
(Over- Under) Biasing
Problem in Importance Sampling.- Tools and
Techniques for
Importance Sampling.
Series: Universitext
, 2004, X, 263 p., Softcover
ISBN: 3-540-20879-8
From the reviews: "A good textbook can
improve a lecture
course enormously, especially when the material
of the lecture
includes many technical details. Van Dalen's
book, the success
and popularity of which may be suspected
from this steady
interest in it, contains a thorough introduction
to elementary
classical logic in a relaxed way, suitable
for mathematics
students who just want to get to know logic.
The presentation
always points out the connections of logic
to other parts of
mathematics. The reader immediately see the
logic is "just
another branch of mathematics" and not
something more sacred."
Acta Scientiarum Mathematicarum, Hungary
Table of contents
Introduction.- Propositional Logic.- Predicate
Logic.-
Completeness and Applications.- Second Order
Logic.-
Intuitionistic Logic.- Normalisation.- Goedel's
Theorem.-
Bibliography.- Index.
Series: Encyclopaedia of Mathematical Sciences,
Vol. 132
2004, XII, 238 p., Hardcover
ISBN: 3-540-20838-0
The book covers topics in the theory of algebraic
transformation
groups and algebraic varieties which are
very much at the
frontier of mathematical research. The contributors
are all
internationally well-known specialists, and
hence the book will
have great appeal to researchers and graduate
students in
mathematics and mathematical physics.
Written for:
Researchers and graduate students in mathematics
and mathematical
physics
Keywords:
algebraic varieties
transformation groups
Table of Contents
http://www.springeronline.com/sgw/cda/frontpage/0,10735,5-10043-22-23308219-detailsPage%253Dppmmedia%257Ctoc%257Ctoc,00.html
Series: The IMA Volumes in Mathematics and
its Applications, Vol. 137
2003, Approx. 320 p., Hardcover
ISBN: 0-387-40529-1
Due: March 1, 2004
This volume contains a selection of articles
based on lectures
delivered at the IMA 2001 Summer Program
on Geometric Methods in
Inverse Problems and PDE Control. The articles
are focused around
a set of common tools used in the study of
inverse coefficient
and control problems for PDEs and related
differential geometric
problems. This book will serve as an excellent
starting point for
researchers wanting to pursue studies at
the intersection of
these mathematically exciting and practically
important subjects.
Table of contents
Foreword * Preface * On the construction
of isospectral
manifolds, Werner Ballman * Statistical stability
and time-reversal
imaging in random media, James G. Berryman,
Liliana Borcea,
George C. Papanicolaou, and Chrysoul Tsogka
* A review of
selected works on crack identification, Kurt
Bryan and Michael S.
Vogelius * Rigidity theorems in Riemannian
geometry, Christopher
B. Croke * The case for differential geometry
in the control of
single and coupled PDEs: the structural acoustic
chamber, R.
Gulliver, I. Lasiecka, W. Littman, and R.
Triggiani * Energy
measurements and equivalence of boundary
data for inverse
problems on non-compact manifolds, A. Katchalov,
Y. Kurylev, and
M. Lassas * Ray transform and some rigidity
problems for
Riemannian metrics, Vladimir Sharafutdinov
* Unique continuation
problems for partial differential equations,
Daniel Tataru *
Remarks on Fourier integral operators , Michael
Taylor * The
Cauchy data and the scattering relation,
Gunther Uhlmann *
Inverse resonance problem for Z2-symmetric
analytic obstacles in
the plane, Steve Zelditch * List of workshop
participants