March 2003, ISBN 1-4020-1201-2, Paperback
Book Series: NATO SCIENCE SERIES: II: Mathematics,
Physics and
Chemistry : Volume 95
This book provides the reader with the most
recent scholarly
insights into the nature of time - undoubtedly
one of the most
profound mysteries that science has ever
faced. The selected
contributions are grouped into four conceptually
different yet
mutually cohesive chapters, carefully woven
into a comprehensive
whole that goes well beyond standard treatments.
The subjects
discussed include the fine structure of psychological
time(s) and
consciousness, novel algebraic geometrical
and number theoretic
models of time dimension, different arrows
of time, time travel,
EPR paradox, quantum non-locality, pregeometry,
and a host of
relevant epistemological and ontological
issues. The book shows
that research is becoming necessarily interdisciplinary
and does
not ignore even such delicate issues as "altered"
states of consciousness, religion and metaphysics.
Although
focused primarily on an academic readership,
the treatise can be
read with profit by anyone fascinated by
the enigma of time.
A coherent, multidisciplinary sampling of
the most up-to-date
professional research on the nature of time,
addressing four
major themes: internal times and consciousness,
mathematical
approaches to the concept of time, the physicist's
view of time,
and integrative science's views of time.
Essential reading for
anyone, scientist or layperson, with a serious
interest in the
topic.
April 2003, ISBN 1-4020-1195-4, Hardbound
Quantum information may sound like science
fiction but is, in
fact, an active and extremely promising area
of research, with a
big dream: to build a quantum computer capable
of solving
problems that a classical computer could
not even begin to handle.
Research in quantum information science is
now at an advanced
enough stage for this dream to be credible
and well-worth
pursuing. It is, at the same time, too early
to predict how
quantum computers will be built, and what
potential technologies
will eventually strike gold in their ability
to manipulate and
process quantum information.
One direction that has reaped many successes
in quantum
information processing relies on continuous
variables. This area
is bustling with theoretical and experimental
achievements, from
continuous-variable teleportation, to in-principle
demonstrations
of universal computation and efficient error
correction. Now the
time has come to compile some of the major
results into one
volume. In this book the leading researchers
of the field present
up-to-date developments of continuous-variable
quantum
information. This book is organized to suit
many reader levels
with introductions to every topic and in-depth
discussions of
theoretical and experimental results.
Contents
Preface. About the Editors. Part I: Quantum
Computing.Part II:
Quantum Entanglement. Part III: Part IV:
Limits on Quantum
Information and Cryptography. Index.
June 2003, ISBN 1-4020-1358-2, Hardbound
Book Series: MATHEMATICS AND ITS APPLICATIONS
: Volume 556
Semiring theory stands with a foot in each
of two mathematical
domains. The first being abstract algebra
and the other the
fields of applied mathematics such as optimization
theory, the
theory of discrete-event dynamical systems,
automata theory, and
formal language theory, as well as from the
allied areas of
theoretical computer science and theoretical
physics. Most
important applications of semiring theory
in these areas turn out
to revolve around the problem of finding
the equalizer of a pair
of affine maps between two semimodules. In
this volume, we chart
the state of the art on solving this problem,
and present many
specific cases of applications.
This book is essentially the third part of
a trilogy, along with
Semirings and their Applications, and Power
Algebras over
Semirings, both written by the same author
and published by
Kluwer Academic Publishers in 1999. While
each book can be read
independently of the others, to get the full
force of the theory
and applications one should have access to
all three.
This work will be of interest to academic
and industrial
researchers and graduate students. The intent
of the book is to
bring the applications to the attention of
the abstract
mathematicians and to make the abstract mathematics
available to
those who are using these tools in an ad-hoc
manner without
realizing the full force of the theory.
Contents
Preface. Introduction. 1 : Semirings. 2:
Partially-Ordered
Semirings. 3: Complete Semirings. 4: Residuated
Semirings. 5:
Matrix Semirings. 6: Symmetric Extension
of a Semiring. 7:
Semimodules. 8: Homomorphisms between Semimodules.
9: Affine Maps
between Semimodules. 10: Partially-ordered
Semimodules. 11:
Eigenelements. 12: Permanents and Determinants.
Bibliography.
Index of Applications. Index of Terminology.
Included in series
Studies in Computational Mathematics, 9
Description
The book is devoted to the perturbation analysis
of matrix
equations. The importance of perturbation
analysis is that it
gives a way to estimate the influence of
measurement and/or
parametric errors in mathematical models
together with the
rounding errors done in the computational
process. The
perturbation bounds may further be incorporated
in accuracy
estimates for the solution computed in finite
arithmetic. This is
necessary for the development of reliable
computational methods,
algorithms and software from the viewpoint
of modern numerical
analysis.
In this book a general perturbation theory
for matrix algebraic
equations is presented. Local and non-local
perturbation bounds
are derived for general types of matrix equations
as well as for
the most important equations arising in linear
algebra and
control theory. A large number of examples,
tables and figures is
included in order to illustrate the perturbation
techniques and
bounds.
Contents
1 Introduction.
2 Perturbation problems.
3 Problems with explicit solutions.
4 Problems with implicit solutions.
5 Lyapunov majorants.
6 Singular problems.
7 Perturbation bounds.
8 General Sylvester equations.
9 Specific Sylvester equations.
10 General Lyapunov equations.
11 Lyapunov equations in control theory.
12 General quadratic equations.
13 Continuous-time Riccati equations.
14 Coupled Riccati equations.
15 General fractional-afine equations.
16 Symmetric fractional-afine equations.
A Elements of algebra and analysis.
B Unitary and orthogonal decompositions.
C Kronecker product of matrices.
D Fixed point principles.
E Sylvester operators.
F Lyapunov operators.
G Lyapunov-like operators.
H Notation.
References.
Index.
Year 2003, Hardbound
ISBN: 0-444-51315-9
428 pages
- 2003
ISBN:1-59033-578-3
Summary:
This new volume gathers results in pure and
applied algebra from
researchers around the globe. The selection
of these papers was
carried out under the auspices of a special
editorial board.
Table of Contents:
Preface; Structure and Commutativity of Associative
Rings (Mohammad
Ashraf, King Abdulaziz University, Saudi
Arabia); On
Commutativity of Rings with Constraints on
a Subset (Mohammad
Ashraf); Galois Module Theory Over a Discrete
Valuation Ring (Robert
Underwood, Auburn University Montgomery,
USA); Exchange Rings
with Stable Range Conditions (Huanyin Chen,
Hunan Normal
University, P.R. China); Integral Representation
of the
Generalized Inverse and its Applications
(Yimin Wei, Fudan
University, Shanghai); Coherent Vectors as
Eigenvectors of a
Backwardshift on a Deformed Hilbert Space
(P.K. Das, Indian
Statistical Institute, Calcutta); Theoretical
and Numerical
Considerations about Pade Approximants for
the Matrix Logarithm (J.R.
Cardoso, Instituto Superior de Engenharia
de Coimbra and F. Silva
Leite, Universidade de Coimbra, Portugal);
Factroizations of
Cuchy-Vandermonde Matrices with One Multiple
Pole (J.J. Martinez,
Universidad de Alcala and J.M. Pena, Universidad
de Zaragoza,
Spain); On Maximal Subgroups of Sylow Subgroups
of Finite Groups
(M. Assad, Cairo University, Egypt); A Note
on the Brauer
Quotients of a Crossed Burnside Functor (Fumihito
Oda, Toyama
National College of Technology, Japan); Index.