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Computers in Physics
Dynamics of Complex Systems (Studies in Nonlinearity)
Yaneer Bar-Yam, Susan R. McKay, and Wolfgang Christian
Citation: Computers in Physics 12, 335 (1998); doi: 10.1063/1.4822633
View online: http://dx.doi.org/10.1063/1.4822633
View Table of Contents: http://scitation.aip.org/content/aip/journal/cip/12/4?ver=pdfcov
Published by the AIP Publishing
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REVIEWS
BOOK
REVIEWS:
Dynamics
of
Complex
Systems
(Studies
in
Nonlinearity)
Variational
Principles
and
the
Numerical
Solution
of
Scattering
Problems
Dynam.
ics
of
Complex
Systems
(Studies
in
Nonlinearity)
Yaneer Bar-Yam
Addison-Wesley, New York, 1997;
ISBN0-201-55748-7; 800pp.,cloth,
$56.00.
Reviewed
by
Susan
R
McKay
The study
of
complex systems has
expanded dramatically throughout
the last decade and now involves re-
searchers from many disciplines, in-
cluding physics, biology, economics,
engineering, mathematics, and psychol-
ogy. Many educators would find it a
challenging task to teach a multidisci-
plinary course on complex systems
that would be appropriate for students
in all these disciplines. Yaneer Bar-
Yam's
Dynamics a/Complex Systems,
an outgrowth
of
a graduate course that
he has taught, provides the basis for
such a course.
Department
Editors:
Susan
R.
McKay
rps352@maine.maine.edu
Wolfgang
Christian
wochristian@davidson.edu
Bar-Yam avoids speaking only in
generalities by focusing on four topics
that exemplify complexity: neural net-
works, protein folding, evolutionaryand
developmental biology, and human civi-
lization. Two chapters are included on
each ofthese topics. The first
ofthe
two
defines basic models and emphasizes
analytical techniques, whereas the sec-
ond usually focuses more on simula-
tions and their results.
These eight chapters are preceded
by an extensive (almost 280-page!) in-
troductory chapter. The subjects
of
the
subsections in this
chapter-"Thermo-
dynamics and Statistical Mechanics,"
"Computer Simulations," and "Cellular
Automata"
--could
constitute coursesin
themselves. What Bar-Yam has done,
very successfully, is to present essential
background material for the study
of
complex systems in a variety
of
areas
of
physics, mathematics, and computer
science. All any two subsections may
have in common is that they are neces-
sary to set the stage for the discussion in
later chapters.
Most
of
the introductory material
will be familiar to any physics student
who has had courses in statistical me-
chanics and dynamical systems; in this
case the first chapter
of
the book will
serve as a useful review and reference.
Even for those who are acquainted with
these topics, the introductory section is
worth reading because it is well illus-
trated and written in an unusually clear
style. Coverage
of
material is complete,
but the tone is informal; the author in-
terrupts his exposition to pose questions.
and provide their solutions. These inter-
spersed questions and answers make the
book particularly well suited for inde-
pendent study, although some readers
may miss the end-of-chapter problems
that are found in most physics texts.
Bar-Yam suggests teaching this course
with project assignments rather than tra-
ditional problem sets
in
order to accom-
modate students with different back-
grounds.
For those from disciplines other
than physics, the introduction may con-
tain much new material that requires
serious study. Bar-Yam has made an ef-
fort to define terminology as it is intro-
duced, so that the introductory chapter
is readable for those without previous
experience. The presentation is self-
contained and conveniently collects ex-
cellent
background
information for
those who want to continue in the field
of
complex systems.
Bar-Yamacknowledges in his over-
view
of
the book that presenting the
extensive introductory material could
easily take a full semester even if the
instructor moves quickly through the
topics. In order to get to the complex
systems themselves within a one-se-
mester course, the instructor might fol-
Iowan
alternative syllabus proposed in
Bar-Yam's overview, which begins with
neural networks (Chap. 2) and draws on
material from the introductory chapter
as needed. For this type
of
course, the
Susan
McKay
is
associate
professor
of
physics
at
the
University
of
Maine
and
one
ofelp 's
department
editors
for
Book
Reviews.
Her
research
interests
include
the
properties
of
spin
glasses
and
other
systems
with
quenched
disorder,
pattern
formation,
and
phase
transitions
in
systems
far
from
equilibrium.
c
1998
AMERICAN
INSTITUTE
OF
PHYSICS
S0894-1866(98)00204-1
COMPUTERS
IN
PHYSICS,
VOL.
12,
NO.4,
JULIAUG
1998
335
Reuse of AIP Publishing content is subject to the terms at: https://publishing.aip.org/authors/rights-and-permissions. Download to IP: 173.234.227.16 On: Thu, 22 Sep
2016 14:18:52
book offers two advantages:
(l)
It
con-
tains almost 300 pages
of
background
material on complex systems, written
clearly and in terms that students from a
variety
of
disciplines can understand;
and (2) it provides detailed treatments
of
four different types
of
complex systems,
including discussions
of
basic models
and important analytical and numerical
results. The book closes with an l l-page
section
of
additional readings arranged
by chapter, which includes both key
words (as provided by the Library
of
Congress for literature searches) and
specific references.
Overall, this book fills a unique
niche in the complex-systems literature
by offering a unifiedpicture
of
the entire
field while providing a carefully chosen
collection
of
technical information and
insights.
It
can serve well either as a
primary text or as a reference for stu-
dents and researchers. Those who work
on any complex system would benefit
from reading the discussions
of
other
systems here in order to gain a fresh
perspective and to put their own system
in a broader context. •
Variational
Principles
and
the
Numerical
Sofution
of
Scattering
Problems
Sadhan K. Adhikari
John Wiley &Sons,New York, 1998;
ISBN 0-471-18193-5;323 pp., cloth,
$84.95.
Reviewed
by
Roger
G.
Newton·
Many
of
today's
physics experi-
ments are, in one way or another,
based on the scattering
of
particles.
Scattering plays a role in elastic or in-
elastic collisions, reactions, and rear-
rangements, as well as in captures
of
elementary particles, nuclei, atoms,
molecules, and quasiparticles. We .ob-
tain most
of
the information we have
about the forces and properties
of
parti-
des
at the microscopic level through
particle-scattering experiments.
Theoretical predictions
of
scatter-
Roger
Newton
is
Distinguished
Professor
Emeritus
of
Physics
at
Indiana
University,
Bloomington,
IN
47405.
E-mail:
newton@indiana.edu
Books
Received
B
ioinformatic
s:
TheMachine
Learning
App
ro
ach
Pierre Baldi
and
Sore
n Bru
nak
MIT Press, Cambridge, MA, 1998;
ISB 0-262-02442-X;351pp.,cloth,
540.00.
Fiel
ds
of
Ph
y
sics
by
Finite
ElementAna
ly
sis
Gu
nnar
Backst rom
Studcntlittcratur,Lund, Sweden, 1998;
ISB : 91-44-00655-1; 208 pp., paper,
326SEK.
i
Warp:
Anatomyof a
Parallel
Comp
ut
ing
System
Thomas
Gross
and David
O'Ha llaron
MIT Pre , Cambridge, MA, 1998;
ISB 0-262-07183-5; 488 pp., cloth.,
$45.00.
Comple
xit
y:
H
ierarchical
St
ru
ctures
and
Scaling
in
P
hys
ics
Remo
Badii and Antonio Politi
Cambridge University Press,
Cambridge, England, 1997; ISB
0-521-4
1890-9;
332 pp., cloth, $74.95.
ing cross sections and resonances are
always ultimately based on an underly-
ing differential
equation-more
often
than not, the Schrodinger equation. One
of
the tasks
of
scattering theory is to
establish the mathematical tools neces-
sary for the extraction
of
numerical re-
sults for comparison with experiment. '
Since a scattering experiment in effect
compares the outcome
of
a collision be-
tween particles with a situation in which
the collision partners have not inter-
acted-the
initial
conditions
being
specified and the outcome observed at
macroscopic
distances-these
mathe-
matical procedures are not entirely
straightforward. Understanding their
use requires a certain amount
of
expla-
nation and care.
The first chapter
of
Adhikari 'sbook
is devoted to explaining the theory
of
quantum-mechanical scattering and in-
Lattice-Gas
Cellular
Automata:
Simple
Models
of
Complex
H
ydrodynamics
Daniel H. R
othm
an
and
Ste
p
hanc
Za
lesk i
Cambridge University Pre ,
Cambridge,England, 1997; ISB
0-521-5520 I-X; 304 pp., cloth,
$69.95.
Solving
Problems
in
Scientific
Computing
UsingMaple
and
MA
T
LA
B,
Third
Edition
Wa lter Gander and Jiri
Hre
bicek
Springer-Verlag, Berlin, Ileidelberg,
and ew York, 1997; ISB
3-540-61793-0; 408 pp., paper,
$49.95.
The
Beginner
's
Guide
to
MathematicaVersion3
Jerry
Glynn and T
heodore
Gray
Cambridge University Press,
Cambridge, England, 1997; I B
0-521-62734-6;347 pp., paper,
$24.95. (Also available in cloth, ISB
0-521-62202-6, $64.95.)
traducing the canonical
tools-the
S
matrix, the tmatrix, the Kmatrix, and
phase
shifts-for
the various cases
of
interest. There is also a discussion
of
the
most commonly used integral equation,
the
Lippmann-Schwinger
equation,
along
with
other integral equations
needed for reactions involving more
than two particles. Later chapters are
devoted to the discussion
of
numerical
methods for the solution
of
these equa-
tions, which can almost never be solved
exactly. These chapters also cover the
main focus
of
the book, namely the sev-
eral specific variational principles that
are useful for the calculation
of
results
to be compared with experiments.
Because every numerical calcula-
tion is ultimately somewhat inexact, ef-
ficient methods for the construction
of
reliable approximations are
of
particular
practical importance. Variational princi-
336
COMPUTERS
IN
PHYSICS,
VOL.
12,NO.4,
JULIAUG
1998
Reuse of AIP Publishing content is subject to the terms at: https://publishing.aip.org/authors/rights-and-permissions. Download to IP: 173.234.227.16 On: Thu, 22 Sep
2016 14:18:52