This book covers all of the key issues the
effective teaching
of Mathematics, a key subject in its own
right, and also one that
forms a key part of many other disciplines.
The book includes
contributions from a wide range of experts
in the field, with a
broad and international perspective.
Peter Kahn is a mathematician and Teaching
Development Officer at
the University of Manchester, UK
Joseph Kyle is Director of Undergraduate
Studies, School of
Mathematics and Statistics, University of
Birmingham, UK.
Contents
Introduction; Exposing mathematical thought;
Developing active
learners; Planning learning; Assessment and
giving feedback;
Using IT; Developing transferable skills;
Reflecting on practice;
Numeracy in HE; Mathematics in the service
of other disciplines;
Mathematical modelling; Mathematics for business;
Statistics;
Pure mathematics; Training mathematics teachers
for the future
208 pp pages, 6" x 9 1/4", July
2002
paper, 0-7494-3569-0,
SERIES: Statistics: A Series of Textbooks
and Monographs -
Volume 167
Based on a loss function approach, this text/reference
is the
only source to comprehensively review the
most recent advances in
financial and actuarial modeling. Provides
a strong statistical
background for advanced methods in pension
plan structuring, risk
estimation, and modeling of investment and
options pricing.
Offers an analysis of American options models,
mortality
adjustment factors for increased-risk individuals,
and time trend
regression adjustments for mortality tables.
READERSHIP: Statisticians, financial investigators,
econometricians, and actuarial science students.
SUBJECT CATEGORY: Applied Statistics
April 2003
352 pages, illustrated
ISBN: 0-8247-4270-2
North-Holland Mathematics Studies, 191
Description
The book contains a unitary and systematic
presentation of both
classical and very recent parts of a fundamental
branch of
functional analysis: linear semigroup theory
with main emphasis
on examples and applications. There are several
specialized, but
quite interesting, topics which didn't find
their place into a
monograph till now, mainly because they are
very new. So, the
book, although containing the main parts
of the classical theory
of Co-semigroups, as the Hille-Yosida theory,
includes also
several very new results, as for instance
those referring to
various classes of semigroups such as equicontinuous,
compact,
differentiable, or analytic, as well as to
some nonstandard types
of partial differential equations, i.e. elliptic
and parabolic
systems with dynamic boundary conditions,
and linear or
semilinear differential equations with distributed
(time, spatial)
measures. Moreover, some finite-dimensional-like
methods for
certain semilinear pseudo-parabolic, or hyperbolic
equations are
also disscussed. Among the most interesting
applications covered
are not only the standard ones concerning
the Laplace equation
subject to either Dirichlet, or Neumann boundary
conditions, or
the Wave, or Klein-Gordon equations, but
also those referring to
the Maxwell equations, the equations of Linear
Thermoelasticity,
the equations of Linear Viscoelasticity,
to list only a few.
Moreover, each chapter contains a set of
various problems, all of
them completely solved and explained in a
special section at the
end of the book.
The book is primarily addressed to graduate
students and
researchers in the field, but it would be
of interest for both
physicists and engineers. It should be emphasised
that it is
almost self-contained, requiring only a basic
course in
Functional Analysis and Partial Differential
Equations
January 2003, ISBN 0-306-47472-7, Hardbound
This volume is the proceedings of a workshop
to discuss the
recent work on complex systems in physics
and biology, its
epistemological and cultural implications,
and its effect for the
development of these two sciences. The workshop
is geared towards
physicists, biologists, and science historians.
Preface. Contributing Authors. Part I: Physics.
Complexity and
emergence of meaning; F.T. Arecchi. A geometric
optics experiment
to simulate the betatronic motion; A. Bazzani,
et al. Some
remarks on the arrow of time and the notion
of information; V.
Benci. How real is the quantum world?; M.
Cini. Decoherence and
classical behaviour in quantum mechanics;
G. Dell'Antonio, et al.
Scaling laws: microscopic and macroscopic
behavior; R. Esposito.
Measure of diffusion entropy of weak turbulence;
L. Galeotti, et
al. Complexity in physics of an adhesive
tape; B. Giorgini, et al.
Reflections about the time arrow; A. Lepschy.
The big computer.
Complexity and computability in physical
universe; I. Licata. On
the uniqueness or multiplicity of physical
theories; C.
Pellegrini. An interplay between determinism
and one-parameter
semigroups; S. Romanelli. From dynamical
systems to complex
systems; G. Turchetti. Part II: Biology.
Shape and size in
biology and medicine; V. Capasso. Assessment
of the quality of
waters and the environment; N. Ceccopieri,
R. Banchetti.
Synchronization of neocortical interneurons;
S. Chillemi, et al.
The fractal borderland; G. Damiani. Emergent
properties and
complexity for biological theories; P. Freguglia.
Ignoring
complex interactions in natural ecosystems;
M. Giovannetti. A
compression algorithm as a complexity measure
on DNA sequences; G.
Menconi. Reductionism and history: the biology
between Scylla and
Charybdis; R. Morchio. A characterization
for a set of
trinucleotides to be a circular code; G.
Pirillo. Deterministic
and random components of over time evolution;
G. Pulina, et al.
Toward creating life in a test tube; M. Rizzotti.
Phylogenies and
the new evolutionary synthesis; F. Santini.
Cell system
complexity and biological evolution; M. Sara
Self-organization
and prebiotic environment; S. Traverso. Part
III: History and
Philosophy of Science. James and Freud on
physical determinism; P.
Casini. Probabilistic aspects in George D.
Berkhoff's work; L.
Dell'Aglio. The metamorphosis of holism;
E. Gagliasso. Early
approaches to the management of complexity;
A. Millan Gasca. The
dignity of the natural sciences; P. Omodeo.
Holism: some
historical aspects; S. Procacci. Towards
a history of complexity;
T.M. Tonietti.
October 2002, ISBN 0-306-47400-X, Hardbound
Book Series: UNIVERSITY SERIES IN MATHEMATICS
There are few notions as fundamental to contemporary
science as
those of computability and modelling. Computability
and Models
attempts to make some of the exciting and
important new research
developments in this area accessible to a
wider readership.
Written by international leaders drawn from
major research
centres both East and West, this book is
an essential addition to
scientific libraries serving both specialist
and the interested
non-specialist reader.
Preface. Contributing Authors. Introduction;
P. Odifreddi. Truth-Table
Complete Computably Enumerable Sets; M.M.
Arslanov. Completeness
and Universality of Arithmetical Numbering;
S. Badaev, et al.
Algebraic Properties of Rogers Semilattices
of Arithmetical
Numberings; S. Badaev, et al. Isomorphism
Types and Theories of
Rogers Semilattices of Arithmetical Numberings;
S. Badaev, et al.
Computability over Topological Structures;
V. Brattka.
Incomputability In Nature; S.B. Cooper, P.
Odifreddi. Gems in the
Field of Bounded Queries; W. Gasarch. Finite
End Intervals in
Definable Quotients of Ĵ; E. Herrmann. A
Tour of Robust
Learning; S. Jain, F. Stephan. On Primitive
Recursive
Permutations; I. Kalimullin. On Self-Embeddings
of Computable
Linear Orders; S. Lempp, et al. Definable
Relations on the
Computably Enumerable Degrees; A. Li. Quasi-Degrees
of
Recursively Enumerable Sets; R.Sh. Omanadze.
Positive Structures;
V. Selivanov. Local Properties of the Non-Total
Enumeration
Degrees; B. Solon. References.