2003 Approx. 240 p. 41 illus. Hardcover
0-387-95420-1
In the past 15 to 20 years, the computer
has become a popular
tool for exploring the relationship between
a measured response
and factors thought to affect the response.
In many cases,
scientific theories exist that implicitly
relate the response to
the factors by means of systems of mathematical
equations. There
also exist numerical methods for accurately
solving such
equations and appropriate computer hardware
and software to
implement these methods. In many engineering
applications, for
example, the relationship is described by
a dynamical system and
the numerical method is a finite element
code. In such
situations, these numerical methods allow
one to produce computer
code that can generate the response corresponding
to any given
set of values of the factors. This allows
one to conduct an
"experiment" (called a "computer
experiment")
to explore the relationship between the response
and the factors
using the code. Indeed, in some cases computer
experimentation is
feasible when a properly designed physical
experiment (the gold
standard for establishing cause and effect)
is impossible. For
example, the number of input variables may
be too large to
consider performing a physical experiment
or it may simply be
economically prohibitive to run an experiment
on the scale
required to gather sufficient information
to answer a particular
research question. This book describes methods
for designing and
analyzing experiments conducted using computer
code in lieu of a
physical experiment. It discusses how to
select the values of the
factors at which to run the code (the design
of the computer
experiment) in light of the research objectives
of the
experimenter. It also provides techniques
for analyzing the
resulting data so as to achieve these research
goals.
Contents: Physical Experiments and Computer
Experiments *
Preliminaries * Predicting Output from Computer
Experiments *
Additional Topics in Prediction Methodology
* Space-Filling
Designs for Computer Experiments * Some Criterion-Based
Experimental Designs * Sensitivity Analysis,
Validation, and
Other Issues
Series: Springer Series in Statistics.
6th ed. 2003 XXIV, 360 p.14 illus. Softcover
3-540-04758-1
An introduction to the basic theory of stochastic
calculus and
its applications. Examples are given throughout
the text, in
order to motivate and illustrate the theory
and show its
importance for many applications in e.g.
economics, biology and
physics. The basic idea of the presentation
is to start from some
basic results (without proofs) of the easier
cases and develop
the theory from there, and to concentrate
on the proofs of the
easier case in order to quickly progress
to the parts of the
theory that are most important for the applications.
For the 6th
edition the author has added further exercises
and, for the first
time, solutions to many of the exercises
are provided.
Contents:
Introduction.- Some Mathematical Preliminaries.-
Ito Integrals.-
Ito Formula and the Martingale Representation
Theorem.-
Stochastic Differential Equations.- The Filtering
Problem.-
Diffusions: Basic Properties.- Other Topics
in Diffusion Theory.-
Applications to Boundary Value Problems.-
Applications to Optimal
Stopping.- Application to Stochastic Control.-
Application to
Mathematical Finance.- Appendix A: Normal
Random Variables.-
Appendix B: Conditional Expectations.- Appendix
C: Uniform
Integrability and Martingale Convergence.-
Appendix D: An
Approximation Result.- Solutions and Additional
Hints to Some of
the Exercises.- References.- List of Frequently
Used Notation and
Symbols.- Index.
2003 Approx. 504 p. 65 illus. Hardcover
0-387-00749-0
Categorical data arise often in many fields,
including
biometrics, economics, management, manufacturing,
marketing,
psychology, and sociology. This book provides
an introduction to
the analysis of such data. The coverage is
broad, using the
loglinear Poisson regression model and logistic
binomial
regression models as the primary engines
for methodology. Topics
covered include count regression models,
such as Poisson,
negative binomial, zero-inflated, and zero-truncated
models;
loglinear models for two-dimensional and
multidimensional
contingency tables, including for square
tables and tables with
ordered categories; and regression models
for two-category (binary)
and multiple-category target variables, such
as logistic and
proportional odds models. All methods are
illustrated with
analyses of real data examples, many from
recent subject area
journal articles. These analyses are highlighted
in the text, and
are more detailed than is typical, providing
discussion of the
context and background of the problem, model
checking, and
scientific implications. Almost 200 exercises
are provided, many
also based on recent subject area literature.
Data sets and
computer code are available at a web site
devoted to the text.
Jeffrey S. Simonoff is Professor of Statistics
at New York
University. He is author of Smoothing Methods
in Statistics and
coauthor of a Casebook for a First Course
in Statistics and Data
Analysis, as well as numerous articles in
scholarly journals. He
is a Fellow of the American Statistical Association,
and an
Elected Member of the International Statistical
Institute.
Contents: Introduction * Gaussian-Based Data
Analysis * Gaussian-Based
Model Building * Categorical Data and Goodness-of-Fit
*
Regression Models for Count Data * Analyzing
Two-Way Tables *
Tables with More Structure * Multidimensional
Contingency Tables
* Regression Models for Binary Data * Regression
Models for
Multiple Category Response Data
Series: Springer Texts in Statistics.
2003 Approx. 505 p. 170 illus. Hardcover
0-387-00893-4
This book gives senior undergraduate and
beginning graduate
students and researchers in computer vision,
applied mathematics,
computer graphics, and robotics a self-contained
introduction to
the geometry of 3D vision; that is the reconstruction
of 3D
models of objects from a collection of 2D
images. Following a
brief introduction, Part I provides background
materials for the
rest of the book. The two fundamental transformations,
namely
rigid body motion and perspective projection
are introduced and
image formation and feature extraction discussed.
Part II covers
the classic theory of two view geometry based
on the so-called
epipolar constraint. Part III shows that
a more proper tool for
studying the geometry of multiple views is
the so- called rank
considtion on the multiple view matrix. Part
IV develops
practical reconstruction algorithms step
by step as well as
discusses possible extensions of the theory.
Exercises are
provided at the end of each chapter. Software
for examples and
algorithms are available on the author's
website.
Contents: Introduction.- Part I: Introductory
Material.-
Representation of a Three - Dimensional Moving
Scene.- Image
Formation.- Image Primitives and Correspondence.-
Part II:
Geometry of two Views.- Reconstruction from
Two Calibrated Views.-
Reconstruction from two Uncalibrated Views.-
Segmentation of
Multiple Moving Objects from Two Views.-
Part III: Geometry of
Multiple Views.- Multiple view Geometry of
Points and Lines.-
Extension to General Incidence Relations.-
Geometry and
Reconstruction from Symmetry.- Applications.-
Step-by-Step
building of a 3D Model From Images.- Visual
Feedback.- Appendices.
Series: Texts in Applied Mathematics, vol.47
ISBN: 0-415-30997-2
Pub Date: 01 JUL 2003
Type: Hardback Book
The contents of this multi-author volume
addressses basic and
applied problems in modelling and controlling
dynamical systems.
Both basic techniques and specific applications
are covered.
Among the former are such topics as complex
bifurication
structure of equilibria and periodic solutions,
explicit
equations of motion for systems with nonideal
constraints,
dynamics of folded media, nonlinear analysis
of simulations and
experiemental measurements, and others. In
the latter, among the
topics covered are optimization of space
trajectories, robust
control of steer by wire systems, noise control
in ducts,
aircraft control in windshear , the liar
paradox and fuzzy logic,
teaching to be led and others.
Contents:
Part 1: 1: A geometric approach to the mechanics
of densely
folded media - L. Bevilacqua 2: On a general
principle of
mechanics and its application to general
non-ideal nonholonomic
constraints - F.E.Udwadia 3: Mathematical
anlaysis of vibrations
of nonhomogeneous filament with one end load
- M. A.Shubov 4:
Expanded point mapping analysis of periodic
systems - H. Flashner
and M.Golat 5: A preliminary analysis of
the phase portrait's
structure of a nonlinear pendulum-mechanical
system using the
perturbed Hamiltonian formulation - D.Belato
6: A review of rigid
body collision models in the plane - E.Cataldo
and R.Sampaio Part
2: 7: Optimal round-trip Earth-Mars trajectories
for robotic
flight and manned flight - A.Miele, T.Wang
and S.Mancuso 8:
Aircraft take-off in windshear: a viability
approach - N.Seube, R.Moitie
and G.Leitmann 9: Stability of torsional
and vertical motion of
suspension bridges to stochastic wind forces
- N.U.Ahmed 10: Time
delayed control of structural systems - F.E.Udwadia,
H..F von
Bremen, R.Kumar and M.Hosseini 11: Robust
real and discrete- time
control of a steer by wire system in cars
- E.Reithmeier 12:
Optimal placement of piezoelectric sensor/actuators
for smart
structures vibration control - V.Lopes, V.Steffen
Jr and D.J.Inman
13: A review of new vibration issues due
to non-ideal energy
sources - J.M.Balthazar, R.M.L.R.F.Brasil,
H.I.Weber. A.Fenili, D.Belto,
J.L.P.Felix and F.J.Garzelli
14: Identification of flexural stiffness
parameters of beams - J.Joao
de Espindola and J.M. da Silva Neto 15: Active
noise control
caused by airflow through a rectangular duct
- S.S.Dana, N.M.Melo
and S.A.da Silva 16; Dynamical features of
an autonomous two-body
floating system - H.M.Morishita and J.R.de
Souza Jr 17: Dynamics
and control of a flexible rotating arm through
the movement of a
sliding mass - A. de Toledo Fleury and F.R.F.
de Oliveira 18:
Measuring chaos in gravitational waves -
H.Piccoli and F.Kokubun
Part 3: 19: Estimation of the attractor for
an uncertain epidemic
model - E.Cruck, N.Seube and G.Leitmann 20:
Liar paradox viewed
by the fuzzy logic theory - Ye-Hwa Chen 21:
Pareto-improving
cheating in an economic policy game - C.Deissenberg
and F.A.Gonzales
22: Dynamics and control of illicit drug
consumption - G.Feischtinger
23: A mathematical approach towards the issue
of synchronization
in neocortical neural networks - R.Stoop
and D.Blank 24; Optimal
control of human posture using algorithms
based on consistent
approximations theory - L.L.Menegaldo, A.de
Toledo Fleury and H.I.Weber