5th ed. 2003 XIII, 299 p. Softcover
3-540-00678-8
Originally published in 1981, this was the
first textbook on
programming in the Prolog language and is
still the definitive
introductory text on Prolog. Though many
Prolog textbooks have
been published since, this one has withstood
the test of time
because of its comprehensiveness, tutorial
approach, and emphasis
on general programming applications.
Prolog has continued to attract a great deal
of interest in the
computer science community, and has turned
out to be the basis
for an important new generation of programming
languages and
systems for Artificial Intelligence. Since
the previous edition
of Programming in Prolog, the language has
been standardised by
the International Organization for Standardization
(ISO) and this
book has been updated accordingly. The authors
have also
introduced some new material, clarified some
explanations,
corrected a number of minor errors, and removed
appendices about
Prolog systems that are now obsolete.
Keywords:
Artificial Intelligence, Kunstliche Intelligenz,
Logic
Programming, Logical Programming, Logisches
Programmieren, PROLOG
(EDV), Programmiersprache, Programmierung
(EDV), Programming,
Programming Language, Prolog, Prolog Implementations,
Prolog-Implementierungen
2004 XIV, 264 p. 37 illus. Hardcover
3-540-14008-5
The process of breaking up a physical domain
into smaller sub-domains,
known as meshing, facilitates the numerical
solution of partial
differential equations used to simulate physical
systems. This
monograph describes in detail the eminent
role played by
differential geometry in grid technology
based on mapping. It
demonstrates how the Beltrami operator helps
to develop robust
multidimensional grid generation codes, while
supplying related
numerical code. In particular, procedures
for the construction of
monitor metric tensors are given and their
qualitative effect on
the resulting mesh is analyzed. Reviewing
concepts from
Riemannian geometry, the book applies them
to general grids with
prescribed properties, and discusses the
role of mean and of
Gaussian curvature and other geometric characteristics
for the
Beltrami equations for grid generation. It
addresses scientists
and practitioners as well as graduate students
from applied
mathematics, physics, and engineering.
Keywords: Grid Generation, Riemannian Geometry,
Beltramian
Equations, Quasiconformal Grids, Scientific
Computing
Contents:
From the contents: Background for Grid Generation.-
Monitor
Function Approaches.- Control of Grid Quality.-
Grid Code.-
Numerical Experiments.- Appendix. Calculus
of Singularities.
Series: Scientific Computation.
2004 Approx. 300 p. 24 illus. Hardcover
0-387-40247-0
The calculus of variations has a long history
of interaction with
other branches of mathematics, such as geometry
and differential
equations, and with physics, particularly
mechanics. More
recently, the calculus of variations has
found applications in
other fields such as economics and electrical
engineering. Much
of the mathematics underlying control theory,
for instance, can
be regarded as part of the calculus of variations.This
book is an
introductory account of the calculus of variations
suitable for
advanced undergraduate and graduate students
of mathematics,
physics, or engineering. The mathematical
background assumed of
the reader is a course in multivariable calculus,
and some
familiarity with the elements of real analysis
and ordinary
differential equations. The book focuses
on variational problems
that involve one independent variable. The
fixed endpoint problem
and problems with constraints are discussed
in detail. In
addition, more advanced topics such as the
inverse problem,
eigenvalue problems, separability conditions
for the Hamilton-Jacobi
equation, and Noether's theorem are discussed.
The text contains
numerous examples to illustrate key concepts
along with problems
to help the student consolidate the material.
The book can be
used as a textbook for a one semester course
on the calculus of
variations, or as a book to supplement a
course on applied
mathematics or classical mechanics. Bruce
van Brunt is Senior
Lecturer at Massey University, New Zealand.
He is the author of
The Lebesgue-Stieltjes Integral, with Michael
Carter, and has
been teaching the calculus of variations
to undergraduate and
graduate students for several years.
Contents:
Preface.- Introduction.- The First Variation.-
Some
Generalizations.- Isoperimetric Problems.-
Applications to
Eigenvalue Problems.- Holonomic and Nonholonomic
Constraints.-
Problems with Variable Endpoints.- The Hamiltonian
Formulation.-
Noether's Theorem.- The Second Variation.-
Appendix A: Some
Results from Analysis and Differential Equations.-
Appendix B:
Function Spaces.- References.- Index.
Series: Universitext.
2nd ed. 2003 XII, 549 p. 209 illus. Hardcover
3-540-40226-8
The first part of this book is an introduction
to the
mathematical methods of modern nonlinear
dynamics. It deals with
differential equations, ordinary and partial,
iterated maps, and
bifurcation theory. The second part focuses
applications to
economics and regional science. Topics such
as business cycles,
oligopoly, interregional trade, and economic
development theory
are included. Bifurcation analysis, and studies
of the various
attractors, with their basins, provide the
core, both of the
background material and the applications.
Coexistence of
attractors and multiplicity of development
paths are emphasized
throughout. The chapters devoted to spatial
applications focus
the emergence of geographical patterns.
Keywords: Bifurcation, Chaos, Dynamics, Economic
Dynamics,
Nonlinearity
2003 VIII, 295 p. 12 illus. Hardcover
1-85233-723-0
James Stirling's "Methodus Differentialis"
is one of
the early classics of numerical analysis.
It contains not only
the results and ideas for which Stirling
is chiefly remembered,
for example, Stirling numbers and Stirling's
asymptotic formula
for factorials, but also a wealth of material
on transformations
of series and limiting processes. An impressive
collection of
examples illustrates the efficacy of Stirling's
methods by means
of numerical calculations, and some germs
of later ideas, notably
the Gamma function and asymptotic series,
are also to be found.
This volume presents a new translation of
Stirling's text that
features an extensive series of notes in
which Stirling's results
and calculations are analysed and historical
background is
provided. Ian Tweddle places the text in
its contemporary
context, but also relates the material to
the interests of
practising mathematicians today. Clear and
accessible, this book
will be of interest to mathematical historians,
researchers and
numerical analysts.
Keywords: History of Mathematics, Analysis,
Numerical analysis,
Stirling numbers, Stirling's formula, Interpolation,
Acceleration
of convergence
Contents:
Introduction.- Background.- Some Mathematical
Points.- Summary of
the Contents of Stirling's Text.- Stirling's
Principal
Calculations.- Stirling's Text in Translation:
Preface;
Introduction; Part I: On the Summation of
Series; Part II: On the
Interpolation of Series.- Notes.- Appendix:
Stirling's Letter to
De Moivre Dated 17th June 1729.- References.-
Index.
Series: Sources and Studies in the History
of Mathematics and
Physical Sciences.
4th ed. 2003 XV, 304 p. 19 illus. Hardcover
3-540-40404-X
Graduate students and researchers are provided
with an up-to-date
survey of statistical and econometric techniques
for the analysis
of count data, with a focus on conditional
distribution models.
Proper count data probability models allow
for rich inferences,
both with respect to the stochastic count
process that generated
the data, and with respect to predicting
the distribution of
outcomes. The book starts with a presentation
of the benchmark
Poisson regression model. Alternative models
address unobserved
heterogeneity, state dependence, selectivity,
endogeneity,
underreporting, and clustered sampling. Testing
and estimation is
discussed from frequentist and Bayesian perspectives.
Finally,
applications are reviewed in fields such
as economics, marketing,
sociology, demography, and health sciences.
The fourth edition
contains several new sections, for example
on nonnested hurdle
models, quantile regression and on software.
Many other sections
have been entirely rewritten and extended.
Keywords: Arbeitsmarktmobilitat, Count process,
Selektivitat,
Zahldaten, Zeitreihenanalyse, count process,
maximum likelihood,
over dispersion, poisson regression, sample
selection,
Okonometrie
From the reviews:
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
"Winkleman has published numerous articles
on using content
models in economics and other social science
journals. Because
these are both applied and theoretical, he
is well suited to
write a monograph in this area. This book
provides a very useful
survey for anyone doing serious research
using count datacfor
those who are doing substantive research
using count data, [this
book] will prove quite useful."
Contents:
Introduction.- Probability Models for Count
Data.- Econometric
Modeling - Basic Issues.- Econometric Modeling
- Extensions.-
Correlated Count Data.- Bayesian Analysis
of Count Variables.-
Applications.
2003 VIII, 148 p. Softcover
3-540-40680-8
The monograph is devoted to a systematic
study of means of
Hilbert space operators by a unified method
based on the theory
of double integral transformations and Peller's
characterization
of Schur multipliers. General properties
on means of operators
such as comparison results, norm estimates
and convergence
criteria are established. After some general
theory, special
investigations are focused on three one-parameter
families of A-L-G
(arithmetic-logarithmic-geometric) interpolation
means, Heinz-type
means and binomial means. In particular,
norm continuity in the
parameter is examined for such means. Some
necessary technical
results are collected as appendices.
Contents:
Introduction.- Double integral transformations.-
Means of
operators and their comparison.- Convergence
of means.- A-L-G
interpolation means Ma.- Heinz-type means
Aa.- Binomial means Ba.-
Certain alternating sums of operators.- Appendices.-
References.-
Index.
Series: Lecture Notes in Mathematics. Vol..
1820
2003 Approx. 505 p. 317 illus. Softcover
0-387-95586-0
The series of texts on Classical Theoretical
Physics is based on
the highly successful series of courses given
by Walter Greiner
at the Johann Wolfgang Goethe University
in Frankfurt am Main,
Germany. Intended for advanced undergraduates
and beginning
graduate students, the volumes in the series
provide not only a
complete survey of classical theoretical
physics but also an
enormous number of worked examples and problems
to show students
clearly how to apply the abstract principles
to realistic
problems.
Contents:
Part I: Vector Calculus Introduction and
Basic Definitions / The
Scalar Product / Component Representation
of a Vector / The
Vector Product (Axial Vector) / The Triple
Scalar Product /
Application of Vector Calculus / Differentiation
and Integration
of Vectors / The Moving Trihedral--the Frenet
Formulae / Areas in
Space / Coordinate Frames / Vector Differential
Operations /
Determination of Line Integrals / The Integral
Theorems of Gauss
and Stokes / Calculation of Surface Integrals
/ Volume (Space)
Integrals. Part II: Newtonian Mechanics Newton's
Axioms / Basic
Concepts of Mechanics / The General Linear
Motion / The Free Fall
/ Friction / The Harmonic Oscillator / Mathematical
Interlude--Series
Expansion, Euler's Formulas / The Damped
Harmonic Oscillator /
The Pendulum / Mathematical Deepening: Differential
Equations /
Planetary Motions / Special Problems in Central
Fields / The
Earth and Our Solar System. Part III: Theory
of Relativity
Relativity Principle and Michelson-Morley
Experiment / The
Lorentz Transformation / Properties of the
Lorentz Transformation
/ Addition Theorem of the Velocities / The
Basic Quantities of
Mechanics in the Minkowski Space / Applications
of the Special
Theory of Relativity.
Series: Classical Theoretical Physics.