GEORGES-HENRI COTTET / Universite Joseph
Fourier
AND PETROS KOUMOUTSAKOS / ETH Zentrum, Zurich
This book presents and analyzes vortex methods
as a tool for the direct numerical
simulation of incompressible viscous flows.
Vortex methods have matured in recent
years, offering an alternative to finite
difference and spectral methods for high
resolution numerical solutions of the Navier-Stokes
equations. ln the last three
decades research in the numerical analysis
aspects of vortex methods has provided a
solid mathematical background for understanding
the accuracy and stability of the
method. This book is both a reference monograph
and a textbook for computational
fluid dynamics courses.
Contents: 1. Definitions and governing equations;
2. Vortex methods for incompressible
two-dimensional flows; 3. Three-dimensional
vortex methods for inviscid flows; 4. lnviscid
boundary conditions; 5. Viscous vortex methods;
6. Vorticity boundary conditions for the
Navier-Stokes equations; 7. Lagrangian grid
distortions: problems and sohJtions; 8. Hybrid
methods; Appendix A. Mathematical tools for
the numerical analysis of vortex methods;
Appendix
B. Fast multipole methods for three-dimensional
N-body problems.
selling Points=･ Only book in I-ts subject
presenting and analysing theoretical and
application
advances in vortex methods in the last fifteen
years
･ A rigorous mathematical presentation of
the subject, firmly grounded in the
physical application
･ Highlights the state-oflthe-art in numerical
applications of vortex methods
Comparable Titles:GALPERIN/Large Eddy Simulation/1
993/0521 430097
SAFFMANNortex Dynamics/1 995/0521 477395
(related, but very different, subject)
subject areaiapplied mathematics, fhuid dynamics,
numerical analysis
Market: academic researchers, graduate students
0521 621860 Hardback 344pp c January2000
60 line diagrams 2 tables
VASlLI M. BABICH / Steklov Institute, St
Petersburg
VLADIMIR S. BULDYREV / St Petersburg State
University
AND IVAN A. MOLOTKOV / Institute for Earth
Magnetism and Aeronomics, Russian Academy
of Science
TRANSLATED BY G. V. ROZENBLUM
This is the first work devoted to the space-time
ray method (a technique for solving
partial differential equations) which gives
a unified view of a large class of wave
processes that arise in a variety of physical
situations. The aim of the authors is to
explain the fundamentals of the method and
how it can be used. To this end they
apply it to many-concrete examples. The treatment
is reasonably self-contained, and
so it lps Suitable for advanced courses.
The wealth of applications and examples will
also make it a good reference in any area
of science and engineering in which the
modelling of wave processes is important.
Contents: Preface; 1. The space-time ray
method for the wave equation; 2. The space-time
ray
method in vector wave problems; 3. The space-time
ray description of various wave processes;
4.
Construction of space-time ray asymptotics
in non-stationary problems using short wavelength
asymptotics of stationary problems; 5. Small
nonlinear perturbations of singlelfrequency
oscillation systems; 6. Some asymptotic methods
in the theory of wave propagation for nonlinear
media; References; lndex.
Selling Points: ･ First book on subject
･ Comprehensive bibliography
･ Extensive applications and examples
Comparable Titles: NAUGOLNYKH and OSTROVSKY/Nonlinear
Wave Processes in Acoustics/1997/052139080X
Subject areasapplied mathematics, partial
differential equations
Market: graduate students
Series: Cambridge Texts in Applied Mathematics,
20
0521 62201 8 Hardback 352pp c January2000
0521 627354 Paperback 352pp c January2000
JOHN R. GILES
University of Newcastle, New South Wales
This is a basic course in functional analysis
for senior undergraduate and beginning
postgraduate students. The reader need only
be familiar with elementary real and
complex analysis, linear algebra and have
studied a course in the analysis of metric
spaces; knowledge of integration theory or
general topdogy is not required. The text
concerns the structural properties of normed
linear spaces in general, especially
associated with dual spaces and continuous
linear operators on normed linear
spaces, The implications of the general theory
are illustrated with a great variety of
example spaces.
Contents: 1. Basic properties of normed linear
spaces; 2. Classes of example spaces; 3.
Orthonormal sets in inner product spaces;
4. Norming mappings and forming duals and
operator
algebras; 5. The shape of the dual; 6. The
Hahn-Banach theorem; 7. The natural embedding
and
reflexivity; 8. Subreflexivity; 9. Baire
category theory for metric spaces; 10. The
open mapping
and closed graph theorems; 11. The uniform
boundedness theorem; 12. Conjugate mappings;
13.
Adjoint operators on Hilbert space; 14. Projection
operators; 15. Compact operators; 16. The
spectrum; 17. The spectrum of a continuous
linear operator; 18. The spectrum of a compact
operator; 19. The spectral theorem for compact
normal operators on Hilbert space; 20. The
spectral theorem for compact operators on
Hilbert space; Appendices. A1. Zorn's lemma;
A2.
Numerical equivalence; A3. Hamel basis.
Selling Points: ･ Can be treated as a sequel
to Giles' previous book
･ Author has many years teaching experience
in this area
･ Text requires very little background knowledge
of the reader
Comparable Titles:GILES/Introduction to the
Analysis of Metric Spaces/1987/0521359287
BOLLOBAS/Linear Analysis/1990/0521387299
Subject areasmathematics (functional analysis)
Market: graduate students
Series: Australian Mathematical Society Lecture
Series, 13
0521 653754 Paperback 320pp c January2000
S. ALBEVERIO /Universitat Bonn
AND P. KURASOV /Stockholm University
Differential (and more general self-adjoint)
operators involving singular interactions
arise naturally in a range of topics such
as, classical and quantum physics, chemistry,
and electronics. This book presents a systematic
mathematical study of these
operators, With particular emphasis on spectral
and scattering problems. Suitable for
researchers in analysis or mathematical physics,
this book could also be used as a
text for an advanced course on the applications
of analysis.
Contents: 1. Rank one perturbations; 2. Generalized
perturbations; 3. Finite rank perturbations;
4.
Scattering theory; 5. Two-body problems;
6. Few-body problems; 7. Fewqbody in one
dimension;
Appendix: historical remarks.
Selling Points: ･ lndispensible for researchers
in this area
･ Authors are top names
･ Covers state of the art results
Comparable Titles:ALBEVERIO et aL/A Mathematical
Introduction to String Theory/1997/0521556
1 i
Subject areas : mathematics (functional analysis,
quantum mechanics)
Market: academic researchers, graduate students
Series: London Mathematical Society Lecture
Note Series, 271
0521 77912X Paperback 350pp c January2000
This book is a quick-reference aid for students
and professionals in the physical
sciences and engineering. lt contains more
than 2000 of the most important and
useful maths and physics equations found
in undergraduate courses. An exhaustive
index allows formulae to be located swiftly
and simply. This book is designed to be a
compact, portable, reference book suitable
for everyday work, problem solving or
exam revision. All students and professionals
in physics, applied mathematics,
engineering and other physical sciences will
want to have this essential reference
book within easy reach.
Contents: 1. Units, constants and conversions;
2. Mathematics; 3. Dynamics and mechanics;
4.
Quantum physics; 5. Thermodynamics; 6. Solid
state physics; 7. Electromagnetism; 8. Optics;
9.
Astrophysics; Index.
Selling Points: ･ Includes more than 2000
of the most useful physics and maths equations
･ An exhaustive index allows for rapid access
to the required formula
･ Clearly defined, uniform nomenclature is
used throughout
･ Conversion information allows ready switching
between units
Comparable Titles:CUP has no directly comparable
core physics reference books like this. The
most comparable titles are the following
(though the market for Woan is larger):
RILEY, HOBSON and BENCE/Mathematical Methods
for Physics and
Engineering/1998/HB 0521 55506X; PB 0521
555299
RILEY/Mathematical Methods for the Physical
Sciences/1 974/HB 0521
203902; PB 0521 098394
REES/Physics by Example/1994/HB 0521 445140;
PB 0521 449758
EVERITT/Cambridge Dictionary of Statistics/1
998/0521 593468
Subject areas : physics, astronomy, applied
mathematics, engineering, physical sciences,
Market: undergraduate students (introductory),
undergraduate students, graduate students,
0521 573491 Hardback 224pp c January2000
0521 575079 Paperback 224pp c January2000
MICHEL LE BELLAC
University of Nice
Now in paperback, this text introduces the
theoretical framework for describing the
quark-gluon plasma, an important new state
of matter. The first part of this book is
a
self-contained introduction to relativistic
thermal field theory. The second part of
the
book is devoted to recent developments, giving
a detailed account of collective
excitations (bosonic and fermionic) and showing
how they give rise to energy scales
which imply a reorganization of perturbation
theory. Each chapter ends with exercises
and a guide to the literature.
Contents: Preface; 1. Introduction; 2. Quantum
statistical mechanics; 3. The scalar field
at finite
temperature; 4. Simple applications of perturbation;
5. Dirac and gauge fields at finite
temperature; 6. Collective excitations in
a plasma; 7. Hard thermal hoops and resummation;
8.
Dynamical screening; 9. Neutrino emission
from stars; 10. Infrared problems at finite
temperature;
Appendices; References.
SeIIing Points: ･ Author is well known in
this field of research
･ A modern approach to the subject matter
including recent developments
･ Self-contained introduction including applications,
exercises and a guide to the
available literature in this field
Comparable Titles: KAPUSTN : Finite-Temperature
Field Theory/1 994/0521 449456
LE BELLAC : ThermaI Field Theory/1 996/0521
460409
Subject areasiheoretical physics, particle
physics, nuclear physics, astrophysics
Market: academic researchers, graduate students
Series: Cambridge Monographs on Mathematical
Physics
0 521 65477 7 Paperback 256pp c January2000
i
LAWRENCE O'GORMAN / BioArray Sdutions, Fanwood,
New Jersey
MICHAEL SEUL / Veridicom, lnc., Chatham,
New Jersey
AND MICHAEL J. SAMMON / Lucent Technologies,
Liberty Corner, New Jersey
This book offers guided access to a collection
of algorithms for the digital manipulation
and analysis of images. Written in classic
'cookbook' style, it reflects the authors'
extensive experience in this field. For each
task, they present a description and
implementation of the most suitable procedure
in easy-to-use form. Each
self-contained section treats a single primary
operation, with a pictorial example, a
ready-reference, and cross-references. The
accompanying CD-ROM contains a
coIIection of C programs implementating all
the algorithms discussed in the book.
Contents: 1. hntroduction; 2. Global image
analysis; 3. Gray-scale image analysis; 4.
Binary image
analysis; 5. Analysis of lines and line patterns;
6. Analysis of point patterns; 7. Frequency
domain;
Appendix: synopsis of important concepts.
Selling Points: . Meant for practitioners,
containing explanation for practitioners'
purposes,
Presented in easy-to-use 'cookbook' style
with full cross-references, pictorial
examples, and keywords
･ Includes all the standard functions plus
advanced topics which are not available
in current software packages
･ Code for all procedures is included on
a CD-ROM
Comparable Titles:O'ROURKE/ComputationaI
Geometry in C/1 994/0521 445922
Subject areas :image processing, materials
science, chemistry, biology, physics, chemical
Market: professionals, academic researchers
0 521 66065 3 Hardback 320pp c January2000
ALLAN VERMEULEN / Rogue Wave Software
GREG BUMGARDNER / Ambysoft
ELDON METZ / Rogue Wave Software
TREVOR MISFELDT / Rogue Wave Software
JIMSHUR / Rogue Wave Software
AND PATRICK THOMPSON / Rogue Wave Software
Scott Ambler
Renowned author Scott Ambler and a team of
Rogue Wave Software developers have
joined together to write The Elements of
Java Style. While there are many books that
explain the syntax and basic use of Java,
this book explains notjust what you can do,
but what you ought to do. lt illustrates
rules with parallel examples of correct and
incorrect usage. Java developers and programmers
who read this book will write
better Java code, will become more productive
and will find the code easier to modify later.
Selling Points: ･ Practical examples based
on real world development
･ Shows Java programmers what they ought
to be doing with their Java code
･ Suitable for use as a set of programming
standards
Comparable Titles:SHARMA and SHARMNJava Programming
by Example/1998/0521 644429
KALICHARAN/C by Example/1 994/0521 456509
ALCOCK/lllustrating C revised edition/1994/0521
468213 These books are all
introductory, rather than style guides, closest
we have.
Subject areas : computer programming, software
development
Market: professionals, undergraduate students
Series: SIGS Reference Library, 15
0521 777682 Paperback 125pp c January2000
RICHARD LEANDER
Borealis Software Systems
Selling Points: ･ Provides a good balance
oftheory and practice
･ Contains many practical examples of application
server development
･ Integrates new technology with traditional
methods
Comparable Titles:SADIQ and CUMMINS/Developing
Business Systems with CORBAJ1998/0521
646502/91 1 sales/less technical book, but
specific to a single architecture
ALLEN and FROST/Component-Based Development
for Enterprise
Systems/1 998/0521 649994/3800 sales/same
technical level, broader overview, specific
to
component-based systems. Leander's book will
have a broader technological scope, applicable
to
a variety of platforms, architectures, and
vendors
Subject areassoftware development, distributed
computing
Market: professionals
Series: SIGS: Advances in Object Technology,
24
0521 778492 Paperback 500pp c January2000