Chen, W.-K., University of Chicago, IL, USA (Ed.)
2000. Approx. 290 pp.
0-8493-0052-5
This book provides the fundamental mathematics
for electrical
circuit and filter applications. Mathematics
for
Linear Circuits and Filters acts as the engineer's
primary
resource when looking for solutions to a
wide range
of problems. A number of illustrative examples
accompany the
text. This book is a practical resource for
the
professional seeking a convenient reference
without extensive
theory and proofs.
Keywords: electrical engineering
Contents: Linear Operations and Matrices.-
Bilinear Operations
and Matrices.- The Laplace Transform.- Fourier
Series, Fourier Transforms and the DFT.-
Z-Transform.- Wavelet Transforms.- Graph
Theory.- Signal Flow Graphs.
Fields: Electrical Engineering; Math. Appl.
in Engineering;
General Applications of Mathematics
Written for: Electrical and computer engineers,
applied
mathematicians
Book category: Monograph
Publication language: English
MacKenzie, R., University of Montreal, Que.,
Canada
Paranjape, M.B., University of Montreal,
Que., Canada
Zakrzewski, W.J., Durham University, Durham,
UK
(Eds.)
2000. Approx. 400 pp. 55 figs.
0-387-98895-5
Solitons were discovered by John Scott Russel
in 1834, and have
interested scientists and mathematicians
ever
since. They have been the subject of a large
body of research in
a wide variety of fields of physics and
mathematics, not to mention engineering and
other branches of
science such as biology. This volume comprises
the written versions of the talks presented
at a workshop held at
Queen's University in 1997, an interdisciplinary
meeting wherein top researchers from many
fields could meet,
interact, and exchange ideas. Topics covered
include mathematical and numerical aspects
of solitons, as well
as applications of solitons to nuclear and
particle
physics, cosmology, and condensed-matter
physics. The book should
be of interest to researchers in any field
in
which solitons are encountered.
Series: CRM Series in Mathematical Physics.
Zelikin, M.I., Moscow State University, Moscow, Russia
2000. X, 283 pp.
3-540-66741-5
Series: Encyclopaedia of Mathematical Sciences.VOL.
86
This book is devoted to geometric methods
in the theory of
differential equations with quadratic right-hand
sides
(Riccati-type equations), which are closely
related to the
calculus of variations and optimal control
theory.
Connections of the calculus of variations
and the Riccati
equation with the geometry of Lagrange-Grassmann
manifolds and classical Cartan-Siegel homogeneity
domains in a
space of several complex variables are considered.
In the study of the minimization problem
for a multiple integral,
a quadratic partial differential equation
that is an
analogue of the Riccati equation in the calculus
of varatiations
is studied. This book is based on lectures
given by
the author ower a period of several years
in the Department of
Mechanics and Mathematics of Moscow State
University. The book is addressed to undergraduate
and graduate
students, scientific researchers and all
specialists interested in the problems of
geometry, the calculus
of variations, and differential equations.
Contents: Introduction.- Classical Calculus
of Variations.-
Riccati Equation in the Classical Calculus
of
Variations.- Lie Groups and Lie Algebras.-
Grassmann Manifolds.-
Matrix Double Ratio.- Complex Riccati
Equations.- Higher-Dimensional Calculus of
Variations.- On the
Quadratic System of Partial Differential
Equations
Related to the Minimization Problem for a
Multiple Integral.-
Epilogue.- Appendix to the English Edition.-
References.- Index.
Cockburn, B., University of Minnesota, Minneapolis,
MN, USA
Karniadakis, G., Brown University, Providence,
RI, USA
Shu, C.-W., Brown University, Providence,
RI, USA
(Eds.)
2000. X, 452 pp.
3-540-66787-3
Series: Lecture Notes in Computational Science and
Engineering. VOL. 11
This volume contains current progress of
a new class of finite
element method, the Discontinuous Galerkin
Method (DGM), which has been under rapid
developments recently
and has found its use very quickly in such
diverse applications as aeroacoustics, semi-conductor
device
simulation, turbomachinery, turbulent flows,
materials processing, Magneto-hydro-dynamics,
plasma simulations
and image processing. While there has been
a
lot of interest from mathematicians, physicists
and engineers in
DGM, only scattered information is available
and
there has been no prior effect in organizing
and publishing the
existing volume of knowledge on this subject.
The
current volume organizes this knowledge and
it covers both
theoretical as well as practical issues of
the
Discontinuous Galerkin method.
Keywords: Finite elements, finite volume,
discontinuous
approximation, conservation laws
Freeman, W.J., University of California, Berkeley, CA, USA
2000. X, 398 pp. 117 figs.
1-85233-616-1
This volume provides an overview of important
work carried out by
Professor Walter Freeman of the
University of Berkeley, California, USA.
Collecting together his
published works over the last 35 years,
it charts his groundbreaking research into
perception and other
cognitive operations in animals and
humans and looks at how this can be applied
to computer hardware
to provide the foundations for novel -
and greatly improved - machine intelligence.
It provides a
step-by-step description of the concepts
and
data needed by electrical engineers, computer
scientists and
cognitivists to understand and emulate
pattern recognition in biological systems
at a level of
competence which has not yet been matched
by
any form of Artificial Intelligence. It offers
a unique blend of
theory and experiment and, historically,
it
also demonstrates the impact of computers
on the design,
execution, and interpretation of experiments
in
neurophysiology over the past five decades.
Contents: Part 1 The Dynamics of Neural Interaction
and
Transmission: Prepyriform Dipole
Field.- Digital Adaptive Filters.- Linear
Distributed Negative
Feedback.- Multiple Feedback Loops in
Cerebral Cortex.- Prepyriform Isolation and
Tetanization.-
Patterns of Variation in Prepyriform AEP.-
Analog Model of Prepyriform Cortex.- Stability
Characteristics of
Positive Feedback.- Part 2
Designation of Contents as Meaning, not Information:
Spatial
Properties of Olfactory EEG.-
Assymetric Sigmoid Function in Populations.-
AM Patterns Governed
by Chaotic Attractors.- Simulation
of Chaotic Olfactory Dynamics.- Spatiotemporal
Neocortical EEG
Analysis.- Taming Deterministic Chaos
with Noise.- Epilogue: Problems for Further
Development in
Mesoscopic Brain Dynamics.
Series: Perspectives in Neural Computing.
Baccelli, F., Ecole Normale Superieure, Paris,
France
Bremaud, P., CNRS/ESE, Gif-sur-Yvette, France
2nd ed. 2000. X, 306 pp. 24 figs.
3-540-66088-7
Series: Applications of Mathematics.VOL. 26
This book gives the mathematical foundations
of the theory of
stationary queuing systems. In particular,
it
contains a thorough treatment of the Palm
theory and of the
Loynes theory of stationary systems, the
two pillars
of the modern approach to queuing. This approach
helps to clarify
the picture, in that it separates the task
of
obtaining the key system formulas from that
of proving
convergence to a stationary state and computing
its law.
The theory is constantly illustrated by classical
results and
models: Pollaczek-Khintchin and Tacacs formulas,
Jackson and Gordon-Newell networks, multiserver
queues, blocking
queues, loss systems etc., but it also
contains recent and significant examples,
where the tools
developed turn out to be indispensable. Several
other
mathematical tools which are useful within
this approach are also
presented such as the martingale calculus
for
point processes, or stochastic ordering for
stationary
recurrences. This thoroughly revised second
edition
contains a substantial number of additions
with the aim of
rendering this now classic reference suitable
for use as a
textbook. In particular, exercises and their
solutions have been
added.
Keywords: mathematical statistics, queues,
Markovian systems,
Palm probability theory
Contents: The Palm-Martingale Calculus of
Point Processes.-
Stationarity and Coupling.- Formulas.
2000. Approx. 550 pp. 80 figs., 17 in color.
3-540-66834-9
Read about the dramatic life of an outstanding
mathematical
genius: Niels Henrik Abel (1802-1829). The
author,
who is both a historian and a mathematician,
has written the
definitive biography of Niels Henrik Abel.
The
Norwegian original edition was a sensational
success in Norway,
and Arild Stubhaug was awarded the most
prestigious Norwegian literary prize (Brageprisen)
in the
category non-fiction. Everyone with an interest
in the
history of mathematics and science will enjoy
reading this book
on one of the most famous mathematicians
of the
19th century.
Keywords: Abel, biography, history of mathematics
Contents: I. A Short Life.- II. Family Background.-
III.
Childhood at Gjerstad.- IV. Disciple in Christiania
(Oslo)
1815-1821.- V. Student Life 1821-1825.- VI.
Europe - Travel.-
VII. The Last Years in Norway.- VIII. The
Deathbed.- Appendices, Literature and Index
Fields: Mathematics, general; Physics, general;
Computer Science,
general
Written for: For mathematicians and readers
interested in popular
science and in biographies.
Book category: Biography
Publication language: English