Computational Finance: a Scientific Perspective.
Dec. 2000 380 pp.
Computational finance deals with the mathematics
programs that realize financial models or
systems. This book
outlines the epistemic risks associated with
valuations of different financial instruments
and discusses the
corresponding risk management strategies.
It covers most of the
research and practical areas in computational
from traditional fundamental analysis and
using algebraic and
geometric tools, it is guided by the logic
of science to explore
information from financial data without prejudice.
In fact, this
book has the unique feature that it is structured
simple requirement of objective science:
the geometric structure
of the data = the information contained in
School on Space-Time Chaos:
Characterization, Control and Synchronization
May 2001 250 pp.
This book provides a comprehensive overview
of the topics related
to characterization, control and synchronization
spatiotemporal phenomena, from both a theoretical
experimental point of view. It describes
applications of these
processes in applied mathematics, signal
optics, fluid dynamics, chemical reactions,
Quantum Information, III:
Proceedings of the Int'l Conference Meijo
May 2001 250 pp.
Over the last decade the theory of quantum
developed into an important and active research
mathematics, physics and other fields of
science. It has
established a link among those fields. This
volume covers the
following topics: Quantum Computation, NP-Complete
Quantum Communication, Quantum Stochastic
Field Theory, Classical and Quantum White
Infinite Dimensional Stochastic Analysis,
Gaussian Random Fields,
Probabilistic Control in Microorganisms,
Complexity in Nature,
Lectures on Finsler Geometry.
May 2001 200 pp.
In 1854, B Riemann introduced the notion
of curvature for spaces
with a family of inner products. There was
progress in the general case until 1918,
when P Finsler studied
the variation problem in regular metric spaces.
Around 1926, L
Berwald extended Riemann's notion of curvature
to regular metric
spaces and introduced a new quantity ---
Berwald curvature. Since
then, Finsler geometry has developed steadily.
In his Paris
address in 1900, D Hilbert formulated 23
problems, the 4th and
23rd problems being in Finsler's category.
Finsler geometry has
broader applications in many areas of science
and will continue
to develop through the efforts of many geometers
Introduction to Matrix Theory: with Applications
May 2001 420 pp.
In economic modeling and planning, as well
as in business, most
problems are linear, or approximated by linear
problems are solved by matrix methods, so
the material presented
in this book is essential to these fields.
Contents: Elements of
Matrix Algebra; The Fundamentals of Matrix
Analysis and Linear
Algebra; Applications Are Presented in input-output
Dynamic Economic Systems; Growth Models etc.
Superstrings and Related Matters:
Proceedings of the ICTP Spring Workshop ICTP,
Aug. 2001 350 pp.
In this volume, topics such as the AdS/CFT
non-BPS states, noncommutative gauge theories
Randall-Sundrum scenario are discussed. For
correspondence, some of its generalizations,
of non-AdS/nonconformal backgrounds, are
described. Myer's effect
in this context and otherwise is also treated.
Recent results in
the context of non-BPS states are reviewed,
in particular the use
of open string field theory in understanding
the related problem
of tachyon condensation. Instantons and solitons
noncommutative gauge theories are described,
as are various
issues in the framework of the Randall-Sundrum
Galois' Theory of Algebraic Equations.
Aug. 2001 400 pp.
Galois' Theory of Algebraic Equations gives
a detailed account of
the development of the theory of algebraic
equations, from its
origins in ancient times to its completion
by Galois in the
nineteenth century. The main emphasis is
placed on equations of
at least the third degree, i.e. on the developments
period from the sixteenth to the nineteenth
appropriate parts of works by Cardano, Lagrange,
Gauss, Abel and Galois are reviewed and placed
historical perspective, with the aim of conveying
to the reader a
sense of the way in which the theory of algebraic
evolved and has led to such basic mathematical
"group" and "field".
A brief discussion on
the fundamental theorems of modern Galois
theory is included.
Complete proofs of the quoted results are
provided, but the
material has been organized in such a way
what the most technical
details can be skilled by readers who are
interested primarily in
a broad survey of the theory.