This important book provides a concise exposition
of the basic
ideas of the theory of distribution and Fourier
transforms and
its application to partial differential equations.
The author
clearly presents the ideas, precise statements
of theorems, and
explanations of ideas behind the proofs.
Methods in which
techniques are used in applications are illustrated,
and many
problems are included. The book also introduces
several
significant recent topics, including pseudodifferential
operators, wave front sets, wavelets, and
quasicrystals.
Background mathematical prerequisites have
been kept to a
minimum, with only a knowledge of multidimensional
calculus and
basic complex variables needed to fully understand
the concepts
in the book.
Contents:
What are Distributions?
The Calculus of Distributions
Fourier Transforms
Fourier Transforms of Tempered Distributions
Solving Partial Differential Equations
The Structure of Distributions
Fourier Analysis
Sobolev Theory and Microlocal Analysis
236pp Pub. date: Jun 2003
ISBN 981-238-421-9
ISBN 981-238-430-8(pbk)
Series in Biostatistics - Vol. 1
This book encompasses a wide range of important
topics. The
articles cover the following areas: asymptotic
theory and
inference, biostatistics, economics and finance,
statistical
computing and Bayesian statistics, and statistical
genetics.
Specifically, the issues that are studied
include large
deviation, deviation inequalities, local
sensitivity of model
misspecification in likelihood inference,
empirical likelihood
confidence intervals, uniform convergence
rates in density
estimation, randomized designs in clinical
trials, MCMC and EM
algorithms, approximation of p-values in
multipoint linkage
analysis, use of mixture models in genetic
studies, and design
and analysis of quantitative traits.
Readership: Graduate students, academics
and researchers in
statistics; policy-makers in finance; health
scientists and
practitioners.
250pp (approx.) Pub. date: Scheduled Fall
2003
ISBN 981-238-395-6
This volume covers a broad range of subjects
in modern
geometry and related branches of mathematics,
physics and
computer science. Most of the papers show
new, interesting
results in Riemannian geometry, homotopy
theory, theory of Lie
groups and Lie algebras, topological analysis,
integrable
systems, quantum groups, and noncommutative
geometry. There are
also papers giving overviews of the recent
achievements in some
special topics, such as the Willmore conjecture,
geodesic
mappings, Weyl's tube formula, and integrable
geodesic flows.
This book provides a great chance for interchanging
new results
and ideas in multidisciplinary studies.
Readership: Researchers in geometry &
topology, nonlinear
science and dynamical systems.
250pp (approx.) Pub. date: Scheduled Winter
2003
ISBN 981-238-432-4
This completely revised second edition of
our hugely popular book invites the reader
to explore ten of the most important areas
of modern physics: Symmetry, Lasers, Superconductivity,
Bose?Einstein Condensation, Nanoscience,
Quantum Computation, Chaos and Fractals,
Stellar Evolution, Particles and Cosmology.
The new edition adds three new chapters in
about a third of the
book, covering the latest, hottest topics
in contemporary physics:
Bose?Einstein Condensate: Where Many Become
One and How to Get
There: Bose Statistics: Counting of the Indistinguishables;
Bose?Einstein Condensation (BEC): The Over-Population
Crisis;
Cooling and Trapping of Atoms: Towards BEC;
Doppler Limit and its
Break Down; Trapping of Cold Atoms: Magnetic
and Magneto-Optic
Trap; Evaporative Cooling; BEC Finally: But
How do We Know?; BEC:
What Good is it? Exploring Nanostructures:
Towards the Bottom;
The Rise of Nanoscience; Confined Systems;
Quantum Devices; The
Genius of Carbon; Spintronics; Nanos at Large.
Quantum
Computation and Information: Classical Computer;
Quantum
Computer; Quantum Gates; Deutsch's Algorithm;
Finding the Period
of a Function; Shor's Factorization Algorithm;
Grover's Search
Algorithm; Hardware and Error Correction;
Cryptography; Quantum
Teleportation.
The authors give a fascinating, up-to-date
account of the
exciting advances in these fast-moving fields.
Their emphasis is
as much on describing natural phenomena as
on attempting to
explain them in terms of basic principles,
replacing equations
with physical insight. Unlike any other book
currently on the
market, general readers and university undergraduates
alike will
find the book a useful guide to the worlds
of modern physics,
while the mature scientist will get an insightful
survey of
neighboring fields of research. For the teacher
who takes a
thematic approach to teaching physics, this
book will be a
complete source of current topics at the
frontiers of research;
and for the student, a valuable tool of study,
made even more
useful by numerous pertinent problems (with
complete solutions)
and references found at the end of each chapter.
Contents:
Symmetry of Nature and Nature of Symmetry
Lasers and Physics
Superconductivity
Bose?Einstein Condensate: Where Many Become
One
Exploring Nanostructures
Quantum Computation and Information
Chaos: Chance Out Necessity
Bright Stars and Black Holes
Elementary Particles and Forces
Cosmology
650pp (approx.) Pub. date: Scheduled Winter
2003
ISBN 981-238-302-6
ISBN 981-238-303-4(pbk)