Hb 350pp 2005
This multiauthor volume comprises selected papers and additional
papers covering different domains of dynamics. It introduces
mathematical methods for the theory of Hamiltonian systems and
Fourier analysis in a comprehensive way starting at elementary
level but also including up to date research and applications.
The volume is intended as a useful source of reference for
graduates and researchers working in mathematics, astronomy and
mechanics.
1-904868-24-X
250pp Hbk 2005
The aim of this volume is to describe the theory of set
differential equations (SDEs) as an independent discipline. It
incorporates the recent general theory of set differential
equations, discusses the interconnections between set
differential equations and fuzzy differential equations and uses
both smooth and nonsmooth analysis for investigation. The study
of SDEs is a rapidly growing area of mathematics and this volume
provides a timely introduction to a subject that follows the
present trend of studying analysis and differential equations in
metric spaces. It is a useful reference text for postgraduates
and researchers/nonlinear analysts, engineering and computational
scientists working in fuzzy systems.
1-904868-46-0
ISBN: 0-470-01484-9
Hardcover
424 pages
June 2006
Spatial epidemiology is the description and analysis of the
geographical distribution of disease. It is more important now
than ever, with modern threats such as bio-terrorism making such
analysis even more complex. This second edition of Statistical
Methods in Spatial Epidemiology is updated and expanded to offer
a complete coverage of the analysis and application of spatial
statistical methods. The book is divided into two main sections:
Part 1 introduces basic definitions and terminology, along with
map construction and some basic models. This is expanded upon in
Part II by applying this knowledge to the fundamental problems
within spatial epidemiology, such as disease mapping, ecological
analysis, disease clustering, bio-terrorism, space-time analysis,
surveillance and infectious disease modelling.
*Provides a comprehensive overview of the main statistical
methods used in spatial epidemiology.
*Updated to include a new emphasis on bio-terrorism and disease
surveillance.
*Enphasizes the importance of space-time modelling and outlines
the practical application of the method.
*Discusses the wide range of software available for analyzing
spatial data, including WinBUGS, SaTScan and R, and features an
accompanying website hosting related software.
*Contains numerous data sets, each representing a different
approach to the analysis, and provides an insight into various
modelling techniques.
This text is primarily aimed at medical statisticians,
researchers and practitioners from public health and epidemiology.
It is also suitable for postgraduate students of statistics and
epidemiology, as well professionals working in government
agencies.
Table of contents
The functional equation of associativity is the topic of
Abel's first contribution to Crelle's Journal. Seventy years
later, it was featured as the second part of Hilbert's Fifth
Problem, and it was solved under successively weaker hypotheses
by Brouwer (1909), Cartan (1930) and Aczel (1949). In 1958, B
Schweizer and A Sklar showed that the "triangular norms"
introduced by Menger in his definition of a probabilistic metric
space should be associative; and in their book Probabilistic
Metric Spaces, they presented the basic properties of such
triangular norms and the closely related copulas. Since then, the
study of these two classes of functions has been evolving at an
ever-increasing pace and the results have been applied in fields
such as statistics, information theory, fuzzy set theory, multi-valued
and quantum logic, hydrology, and economics, in particular, risk
analysis.
This book presents the foundations of the subject of associative
functions on real intervals. It brings together results that have
been widely scattered in the literature and adds much new
material. In the process, virtually all the standard techniques
for solving functional equations in one and several variables
come into play. Thus, the book can serve as an advanced
undergraduate or graduate text on functional equations.
Contents:
Representation Theorems for Associative Functions
Functional Equations Involving t-Norms
Inequalities Involving t-Norms
Appendices:
Examples and Counterexamples
Open Problems
Readership: Mathematicians, statisticians, economists, financial
analysts, and other scientists; advanced undergraduate and
graduate students interested in functional equations, copulas and
their applications.
252pp Pub. date: Feb 2006
ISBN 981-256-671-6