(Statistics: A Series of Textbooks and
Monographs/169)
May 2003 / 520 pp., illus. / ISBN: 0-8247-4271-0
Emphasizing the impact of computer software and computational
technology on econometric theory and development, this text/reference
presents recent advances in the application of computerized tools
to econometric techniques and practices-focusing on current
innovations in Monte Carlo simulation, computer-aided testing,
model selection, and Bayesian methodology for improved
econometric analyses.
Readership: Applied statisticians, econometricians, economists,
sociologists, and upper-level undergraduate and graduate students
in these disciplines.
Subject Category: Applied Statistics
CONTENTS
Methodological Questions from Using Very Large Data Sets Clive W.
J. Granger Applications of Simulation Material Finite
Sample Simulation-Based Tests in Seemingly Unrelated Regressions
Jean-Marie Dufour and Lynda Khalaf Finding Optimal Penalties
for Model Selection in the Linear Regression Model Maxwell L.
King and Gopal K. Bose On Bootstrap Coverage Probability with
Dependent Data Jvnis J. Zvingelis A Comparison of Alternative
Casualty and Predictive Accuracy Tests in the Presence of
Integrated and Co-Integrated Economic Variables Normal R.
Swanson, Ataman Ozyildirim, and Maria Pisu Finite Sample
Performance of the Empirical Likelihood Estimator Under
Endogeneity George G. Judge and Ron C. Mittelhammer Testing
for Unit Roots in Semi-Annual Data Sandra Feltham and David E. A.
Giles Bayesian and Related Inference Using Simulation
Methods for Bayesian Econometric Models John Geweke, William
McCausland, and John Stevens Bayesian Inference in the
Seemingly Unrelated Regressions Model William E. Griffiths
Computationally Intensive Methods for Deriving Optimal Trimming
Parameters Marco van Akkeren Econometric Modeling
Estimating and Testing Fundamental Stock Prices: Evidence from
Simulated Econometrics R. Glen Donaldson and Mark Kamstra
Neural Networks as an Econometric Tool Johan F. Kaashoek and
Herman van Dijk Real-Time Forecasting with Vector
Autoregressions: Spurious Drift, Structural Change, and Intercept-Correction
Ronald A. Bewley Econometric Modeling Based on Pattern
Recognition via the Fuxzzy c-Means Clustering Algorithm Robert
Draeseke and David E. A. Giles Nonparametric and
Semiparametric Inference Nonparametric Bootstrap
Specification Testing in Econometric Models Tae-Hwy Lee and Aman
Ullah The Effect of Economic Growth on Standard of Living: A
Semiparametric Analysis Nilanjana Roy.
(Lecture Notes in Pure and Applied Mathematics
Series/234)
May 2003 / 440pp., illus. / ISBN: 0-8247-0975-6
Celebrating the work of renowned mathematician Jerome A.
Goldstein, this reference compiles original research on the
theory and application of evolution equations to stochastics,
physics, engineering, biology, and finance. Explores a wide range
of topics in linear and nonlinear semigroup theory, operator
theory, functional analysis, and linear and nonlinear partial
differential equations.
Readership: Pure and applied mathematicians, mathematical
analysts, and specialists and students studying the application
of evolution equations to stochastics, physics, engineering, and
the biosciences.
Subject Category: Analysis
CONTENTS
The Hille-Yoshida Cantata Gregor Nickel and Friedrich Wille
Matrix-Valued Generalizations of the Theorems of Borg and
Hochstadt E. D. Belokolos, F. Gesztesy, K. A. Makrov, L. F.
Sakhnovich Local and Global Well-Posedness Results for
Generalized BBM-Type Equations J. L. Bona and H. Chen
Variable Coefficient KdV Equations and Waves in Elastic Tubes R.
C. Cascaval Infinitely Many Solutions for a Superlinear
Neumann Problem in Tilable Regions A. Castro On Applications
of Maximal Regularity to Inverse Problems for Integrodifferential
Equations of Parabolic Type F. Colombo, D. Guidetti, and A.
Lorenzi A Semilinear Integrodifferential Inverse Problem F.
Colombo, V. Vespri Gearhart-Pruss Theorem in Stability for
Wave Equations: A Survey D. Cramer and Y. Latushkin A Note on
Generalized Maximum Principles for Elliptic and Parabolic PDE M.
G. Crandall and A. ?wi?ch Finite Dimensional Convex Gradient
Systems Perturbed by Noise G. Da Prato Differentiability of
the Solution Semigroup for Delay Differential Equations G. Di
Blasio Second Order Differential Operators on C[0, 1] with
Wentzell-Robin Boundary Conditions K. -J. Engel A New
Approach to the Regularity of Solutions for Parabolic Equations J.
Escher, J. Pruss, and G. Simonett The Regulator Problem for a
Singular Control System A. Favini Criteria for R-Boundaries
of Operator Families M. Girardi and L. Weis One Dimensional
Hyperbolic Systems and Hille-Yosida Operators R. Grimmer and E.
Sinestrari On the Wave Equation Subjected to Coulomb Friction
R. Grimmer and Y. Soeharyadi Asymptotics of Perturbations to
the Wave Equation M. Hieber and I. Wood A Class of Ordinary
Differential Operators with Jump Boundary Conditions R. F.
Kauffman and H. Zhang An Alternative Proof of Kato's
Inequality M. K. Kwong and A. Zettl On a Continuous
Coagulation and Fragmentation Equation with a Singular
Fragmentation Kernel W. Lamb and A. C. McBride Almost
Periodicity of Inhomogenous Parabolic Evolution Euqations L.
Maniar and R. Schnaubelt Linear Delay Equations in the Lp-Context
L. Maniar and J. Voigt Integrated Form of Continuous Newton's
Method J. W. Neuberger Effects of a Variable Step-Size in
Some Abstract Product Formulas M. Pierre and M. Rihani
Evolution Operators in Stochastic Processes and Inference M. M.
Rao Competition Between Diffusion and Inhomogeneous Reaction
S. Rosencrans and X. Wang Global Bifurcations of Concave
Semipositone Problems J. Shi and R. Shivaji An Obstruction to
Prescribing Positive Scalar Curvature on Complete Manifolds with
Ricci ? 0 Qi S. Zhang.
(Lecture Notes in Pure and Applied Mathematics
Series/235)
May 2003 / 440 pp., illus. / ISBN: 0-8247-4051-3
Presenting a wide range of perspectives on topics ranging from
ring theory and combinatorics to invariant theory and associative
algebras, this reference covers current breakthroughs and
strategies impacting research on polynomial identities-identifying
new concepts in algebraic combinatorics, invariant and
representation theory, and Lie algebras and superalgebras for
novel studies in the field.
Readership: Pure and applied mathematicians, ring and number
theorists, combinatorists, associative algebraists, and upper-level
undergraduate and graduate students in these disciplines.
Subject Category: Pure Mathematics
CONTENTS
Linearization Method of Computing Z2-Codimensions of Identities
of the Grassmann Algebra N. Anisimov Cocommutative Hopf
Algebras Acting on Quantum Polynomials and Their Invariants
Vyacheslav A. Artamonov Combinatorial Properties of Free
Algebras of Schreier Varieties Vyacheslav A. Artamonov, Alexander
A. Mikhalev, and Alexander V. Mikhalev Graded Algebras and
Graded Identities Y. Bahturin and M. V. Zaicev Computational
Approach to Polynomial Identities of Matrices-a Survery Francesca
Benanti, James Demmel, Vesselin Drensky, and Plamen Koev
Poincare Series of Generic Matrices Allan Berele
Combinatorial Methods for the Computation of Trace Cocharacters
Luisa Carini Polynomial Identities for Graded Algebras
Onofrio Mario Di Vencenzo Matrix Invariants and the Failure
of Weyl's Theorem Matyas Domokos Free Nilpotent-by-Abelian
Leibniz Algebras Vesselin Drensky and Giulia Maria Piacentini
Cattaneo Pebbles and Expansions in the Polynomial Ring
Adriano M. Garsia Grouo Actions, Codimensions and Exponential
Behaviour Antonio Giambruno Monotone Matrix Maps Preserve Non-Maximal
Rank A Guterman Explicit Decompositions of the Group Algebras
FSn and FAn A. Henke and Amitai Regev Graded and Ordinary
Polynomial Identities in Matrix and Related Algebras Plamen
Koshlukov Varieties of Linear Algebras with Almost Polynomial
Growth S. P. Mishchenko Algebras with Involution,
Superalegras and Proper Subvarieties Vincenzo Nardozza
Gradings and Graded Identities of the Algebra of n x n Upper
Triangular Matrices Angela Valenti.
Publication is planned for August 2003 |
Hardback | 240 pages 125 exercises | ISBN:
0-521-82621-7
Publication is planned for August 2003 |
Paperback | 240 pages
125 exercises | ISBN: 0-521-53361-9
This is an introduction to logic and the
axiomatization of set
theory from a unique standpoint. Philosophical
considerations,
which are often ignored or treated casually,
are here given
careful consideration, and furthermore the
author places the
notion of inductively defined sets (recursive
datatypes) at the
centre of his exposition resulting in a treatment
of well
established topics that is fresh and insightful.
The presentation
is engaging, but always great care is taken
to illustrate
difficult points. Understanding is also aided
by the inclusion of
many exercises. Little previous knowledge
of logic is required of
the reader, and only a background of standard
undergraduate
mathematics is assumed.
Contents
1. Definitions and notations; 2. Recursive
datatypes; 3.
Partially ordered sets; 4. Propositional
calculus; 5. Predicate
calculus; 6. Computable functions; 7. Ordinals;
8. Set theory; 9.
Answers to selected questions.
Publication is planned for July 2003 | Paperback
| 408 pages 42 line diagrams | ISBN: 0-521-53929-3
Quantum mechanics is one of the most fundamental
yet difficult
subjects in physics. Nonrelativistic quantum
theory is presented
here in a clear and systematic fashion, integrating
Bornfs
probabilistic interpretation with Schrodinger
dynamics. Basic
quantum principles are illustrated with simple
examples requiring
no mathematics beyond linear algebra and
elementary probability
theory. The quantum measurement process is
consistently analyzed
using fundamental quantum principles without
referring to
measurement. These same principles are used
to resolve several of
the paradoxes that have long perplexed physicists,
including the
double slit and Schrodingerfs cat. The consistent
histories
formalism used here was first introduced
by the author, and
extended by M. Gell-Mann, J. Hartle and R.
Omnes. Essential for
researchers yet accessible to advanced undergraduate
students in
physics, chemistry, mathematics, and computer
science, this book
is supplementary to standard textbooks. It
will also be of
interest to physicists and philosophers working
on the
foundations of quantum mechanics.
Contents
1. Introduction; 2. Wave functions; 3. Linear
algebra in Dirac
notation; 4. Physical properties; 5. Probabilities
and physical
variables; 6. Composite systems and tensor
products; 7. Unitary
dynamics; 8. Stochastic histories; 9. The
Born rule; 10.
Consistent histories; 11. Checking consistency;
12. Examples of
consistent families; 13. Quantum interference;
14. Dependent (contextual)
events; 15. Density matrices; 16. Quantum
reasoning; 17.
Measurements I; 18. Measurements II; 19.
Coins and
counterfactuals; 20. Delayed choice paradox;
21. Indirect
measurement paradox; 22. Incompatibility
paradoxes; 23. Singlet
state correlations; 24. EPR paradox and Bell
inequalities; 25.
Hardyfs paradox; 26. Decoherence and the
classical limit; 27.
Quantum theory and reality; Bibliography.