Contributed by world renowned researchers, the book features a
wide range of important topics in modern statistical theory and
methodology, economics and finance, ecology, education, health
and sports studies, and computer and IT-data mining. It is
accessible to students and of interest to experts.
Many of the contributions are concerned with theoretical
innovations, but all have applications in view, and some contain
illustrations of the applied methods or photos of historic
mathematicians.
A few of the notable contributors are Ejaz Ahmed (Windsor), Joe
Gani (ANU), Roger Gay (Monash), Atsuhiro Hayashi (NCUEE, Tokyo),
Markus Hegland (ANU), Chris Heyde (ANU/Columbia), Jeff Hunter (Massey),
Phil Lewis (Canberra), Heinz Neudecker (Amsterdam), Graham
Pollard (Canberra), Simo Puntanen (Tampere), George Styan (McGill),
and Goetz Trenkler (Dortmund).
Contents:
Mathematics and Statistics in Society:
Two Classification Methods of Individuals for Educational Data
and an Application (A Hayashi)
Measurement of Skill and Skill Change (R Kelly & P E T Lewis)
Applications of Statistics:
Estimating the Numbers of SARS Cases in Mainland China in 2002?3
(J Gani)
A Fair Tennis Scoring System for Doubles in the Presence of Sun
and Wind Effects ? An Application of Probability (G Pollard)
Theoretical Issues in Probability and Statistics:
Perturbed Markov Chains (J J Hunter)
Matrix Tricks for Linear Statistical Models: A Short Review of
Our Personal Top Fourteen (J Isotalo et al.)
On the Approximate Variance of a Nonlinear Function of Random
Variables (H Neudecker & G Trenkler)
Probabilistic Models in Economics and Finance:
When Large Claims are Extremes (R Gay)
Shrinkage Estimation of Gini Index (R Ghori et al.)
Numerical Methods:
An Approximate Maximum a Posteriori Method with Gaussian Process
Priors (M Hegland)
Mining Multiple Models (G J Williams)
Abstracts Without Papers:
Properties of Nearest-Neighbour Classifiers (P Hall)
Bootstrapping in Clustered Populations (A H Welsh)
and other papers
Readership: Postgraduates, practitioners and researchers in
statistics and statistical applications such as data mining,
ecology, education, finance, health and medical sciences.
324pp Pub. date: Oct 2006
ISBN 981-270-391-8
This is a brief introduction to some geometrical topics
including topological spaces, the metric tensor, Euclidean space,
manifolds, tensors, r-forms, the orientation of a manifold and
the Hodge star operator. It provides the reader who is
approaching the subject for the first time with a deeper
understanding of the geometrical properties of vectors and
covectors. The material prepares the reader for discussions on
basic concepts such as the differential of a function as a
covector, metric dual, inner product, wedge product and cross
product.
J M Domingos received his D Phil from the University of Oxford
and has now retired from the post of Professor of Physics at the
University of Coimbra, Portugal.
Contents:
Topological Spaces
Metric Tensor
Differentiable Manifolds: Basic Definitions, Tangent Vectors and
Spaces, Parallelization
Metric Dual
Tensors
r-Forms
Orientation of a Manifold
Hodge Star Operator
Wedge Product and Cross Product
Readership: Advanced undergraduate students in physics and
mathematics.
84pp Pub. date: Oct 2006
ISBN 981-270-044-7
This volume is devoted to the main areas of mathematical logic
and applications to computer science. There are articles on
weakly o-minimal theories, algorithmic complexity of relations,
models within the computable model theory, hierarchies of
randomness tests, computable numberings, and complexity problems
of minimal unsatisfiable formulas. The problems of
characterization of the deduction-detachment theorem, D1-induction,
completeness of Le?niewski’s systems, and reduction calculus
for the satisfiability problem are also discussed.
The coverage includes the answer to Kanovei’s question about
the upper bound for the complexity of equivalence relations by
convergence at infinity for continuous functions. The volume also
gives some applications to computer science such as solving the
problems of inductive interference of languages from the full
collection of positive examples and some negative data, the
effects of random negative data, methods of formal specification
and verification on the basis of model theory and multiple-valued
logics, interval fuzzy algebraic systems, the problems of
information exchange among agents on the base topological
structures, and the predictions provided by inductive theories.
Contents:
Another Characterization of the Deduction-Detachment Theorem (S V
Babyonyshev)
On Behavior of 2-Formulas in Weakly o-Minimal Theories (B S
Baizhanov & B Sh Kulpeshov)
Arithmetic Turing Degrees and Categorical Theories of Computable
Models (E Fokina)
Negative Data in Learning Languages (S Jain & E Kinber)
Effective Cardinals in the Nonstandard Universe (V Kanovei &
M Reeken)
Model-Theoretic Methods of Analysis of Computer Arithmetic (S P
Kovalyov)
The Functional Completeness of Le?niewski’s Systems (F Lepage)
Hierarchies of Randomness Tests (J Reimann & F Stephan)
Intransitive Linear Temporal Logic Based on Integer Numbers,
Decidability, Admissible Logical Consecutions (V V Rybakov)
The Logic of Prediction (E Vityaev)
Conceptual Semantic Systems Theory and Applications (K E Wolff)
Complexity Results on Minimal Unsatisfiable Formulas (X Zhao)
and other papers.
Readership: Researchers in mathematical logic and algebra,
computer scientists in artificial intelligence and fuzzy logic.
328pp Pub. date: Oct 2006
ISBN 981-270-045-5
This volume is a collection of papers in celebration of the 80th
birthday of Yuan-Shih Chow, whose influential work in probability
and mathematical statistics has contributed greatly to
mathematics education and the development of statistics research
and application in Taiwan and mainland China.
The twenty-two papers cover a wide range of problems reflecting
both the broad scope of areas where Professor Chow has made major
contributions and recent advances in probability theory and
statistics.
Contents:
Maximizing Expected Value with Two Stage Stopping Rules (D Assaf
et al.)
The Logistic Distribution and a Rank Test for Non-Transitivity (B
M Brown et al.)
A Study of Inverses of Thinned Renewal Processes (W-J Huang &
C-D Huang)
On Dirichlet Multinomial Distributions (R W Keener & W B Wu)
Analysis of a Sequence of Dependent 2 x 2 Tables (S G Kou & Z
Ying)
The Optimal Stopping Problem for Sn / n and Its Ramifications (T
L Lai & Y-C Yao)
A New Test of Symmetry about an Unknown Median (W Miao et al.)
Bold Play and the Optimal Policy for Vardi’s Casino (L Shepp)
The Upper Limit of a Normalized Random Walk (C-H Zhang)
and other papers
Readership: Academics and professionals in probability and
statistics.
400pp (approx.) Pub. date: Scheduled Winter 2006
ISBN 981-270-355-1
Graph theory is an area in discrete mathematics which studies
configurations involving a set of nodes interconnected by edges (called
graphs). This book is intended as a general introduction to graph
theory and, in particular, as a resource book for junior college
students and teachers reading and teaching the subject at H3
Level in the new Singapore mathematics curriculum for junior
college.
The book builds on the verity that graph theory at this level is
a subject that lends itself well to the development of
mathematical reasoning and proof.
Contents:
Fundamental Concepts and Basic Results
Graph Isomorphism, Subgraphs, The Complement of a Graph
Bipartite Graphs and Trees
Vertex-Colorings of Graphs
Matchings in Bipartite Graphs
Eulerian Multigraphs and Hamiltonian Graphs
Digraphs and Tournaments
Readership: Junior college students and undergraduates studying
mathematics and computer science.
250pp (approx.) Pub. date: Scheduled Spring 2007
ISBN 981-270-525-2
ISBN 981-270-386-1(pbk)