ISBN: 1-58488-355-3
Publication Date: 11/15/2003
Number of Pages: 768
Presents several times more exact solutions
to nonlinear partial
differential equations than any other book
available
Describes many new exact solutions
Includes equations important in heat and
mass transfer, wave
theory, hydrodynamics, gas dynamics, acoustics,
nonlinear optics,
nuclear physics, and control theory
Outlines the basic analytical methods for
finding exact solutions
to nonlinear equations
Offers a resource valuable to a wide range
of users in
mathematics, engineering, and physics
The latest in a series of best-selling differential
equation
handbooks by these authors, the Handbook
of Nonlinear Partial
Differential Equations presents exact solutions
of more than 1500
nonlinear equations encountered in science
and engineering--many
more than any other book available--including
those of parabolic,
hyperbolic, elliptic and mixed type. It describes
a number of new
solutions to nonlinear equations and pays
special attention to
equations of general form that involve arbitrary
functions. A
supplement at the end of the book discusses
the basic methods for
constructing exact solutions and outlines
new direct methods of
generalized and function separation of variables.
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ISBN: 1-58488-364-2
Publication Date: 11/15/2003
Number of Pages: 352
Teaches readers to think about the world
from the computational
point of view
Provides an abundance of computer code, in
MATLAB FORTRAN
Introduces MPI (Message Passing Interface)
for partial
differential equation models
Designed for senior undergraduate and graduate
level students,
this text introduces the numerical solution
of partial
differential equations (PDEs), numerical
modeling, and parallel
computing via the Message Passing Interface
(MPI). The author's
early introduction of PDEs helps students
make the often-difficult
transition from ordinary to partial differential
equations, and
the copious provision of MATLAB and FORTRAN
90 codes gives them a
head-start on using the methods presented.
Computational
mathematics is fast becoming an integral
part of science and
engineering curricula, and this text fills
a gap in the textbook
literature by presenting the basics of PDEs,
modeling, and
parallel computing within one volume.
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ISBN: 1-58488-027-9
Publication Date: 12/15/2003
Discusses randomization as a basis for statistical
inference and
describes several randomization techniques
Addresses the special statistical treatment
required by trials
built around repeated measures
Reviews data monitoring methods, with emphasis
on Phase III
trials
Includes exercises in each chapter
Provides on the Internet data from several
published studies
Clinical trials have taken a prominent role
in the research and
approval of new drugs. To conduct rigorous
clinical studies,
present and future biostatisticians need
a good background in the
design and analysis of data gleaned from
those studies. This text
provides a summary of statistical design,
including cross-over
designs, sample size estimation, sequential
methods for interim
analyses, survival analysis, and repeated
measures. The authors
also discuss a number of topics not addressed
in other books on
the subject, including the use of surrogate
variables, meta-analysis,
and longitudinal designs. Each chapter includes
examples and
exercises, and data sets are available for
download from the
Internet.
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Series: Monographs on Statistics and Applied
Probability
ISBN: 1-58488-337-5
Publication Date: 12/31/2003
Number of Pages: 250
Written by one of the world's foremost authorities
in time series
modelling, this book explores goodness of
fit tests in time
series analysis. Starting with linear models,
the author proceeds
to nonlinear modelling with extensions to
long-memory and
generalized linear models-all areas of much
interest and activity.
The focus is firmly on practical matters,
and the author presents
a range of applications, particularly from
the financial arena.
Until now, published work in this area has
been scattered
throughout the literature. Researchers and
practitioners alike
will welcome this book as a reference that
will guide them
through the final stages of their modelling
tasks.
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Series: Studies in Advanced Mathematics
ISBN: 1-58488-304-9
Publication Date: 12/15/2003
Number of Pages: 256
Provides the first detailed study of multiwavelets
Includes a thorough treatment of standard
and scalar m-band
wavelets
Contains full MATLAB routines for developing
and experimenting
with multiwavelets
Balances theory and applications --valuable
to engineers and
scientists as well as mathematicians
Includes a section on multidimensional wavelets
Theoretically, multiwavelets hold significant
advantages over
standard wavelets, particularly for solving
more complicated
problems, and hence are of great interest,
both practical and
theoretic. Written to meet the needs of both
engineers and
mathematicians, this book provides the first
comprehensive
overview of multiwavelets. The author presents
the theory of
wavelets from the viewpoint of general multiwavelets,
which
includes scalar m-band and standard wavelets
as special cases,
provides a more coherent approach, and yields
alternative proofs
and new insights even for standard wavelets.
The treatment
includes complete MATLAB routines that allow
readers to implement
and experiment with multiwavelet algorithms