Edited by Charles K. Chui, Larry L. Schumaker, and Joachim Stockler

Approximation Theory X
Abstract and Classical Analysis

Topics include:

approximation of eigenvalues
approximation with weights
Bernstein inequalities
Chebyshev centers
generalized polynomials
Haar sets
kernels on manifolds
linear operators
Markov inequalities
minimal projections
multivariate interpolation
nonlinear approximation
one-sided approximation
orthogonal polynomials
polynomial approximation
rational approximation
shift invariant spaces
uni-modular polynomials
zero-increasing transformations

Charles K. Chui is professor of mathematics at University of Missouri-St. Louis. Larry L. Schumaker is Stevenson Professor of Mathematics at Vanderbilt University. Joachim Stockler is professor of mathematics at University of Dortmund, Germany.

May
Abstract and Classical Analysis:
370 pages, illustrations, 6 x 9 inches
Cloth (0-8265-1415-4)

Edited by Charles K. Chui, Larry L. Schumaker, and Joachim Stockler

Approximation Theory X
Wavelets, Splines, and Applications

Topics include:

biharmonic splines
cardinal L-splines
discrete splines
exterior BVPs
financial optimization
framelets
FSI generators
Gabor frames
moving least squares
multiwavelets
nonstationary wavelets
non-MSF wavelets
orthogonal wavelets
penalized least squares
refinable functions
SAR interferometry
smoothing splines
spline bases
spline interpolation
Sturm-Liouville problems
subdivision
thin plate splines
wavelet packets

Charles K. Chui is professor of mathematics at University of Missouri-St. Louis. Larry L. Schumaker is Stevenson Professor of Mathematics at Vanderbilt University. Joachim Stockler is professor of mathematics at University of Dortmund, Germany.

May
Wavelets, Splines, and Applications:
440 pages, 6 x 9 inches
Cloth(0-8265-1416-2)
Innovations in Applied Mathematics

edited by Guy Latouche (Universit・Libre de Bruxelles, Belgium) & Peter Taylor (The University of Melbourne, Australia)

MATRIX-ANALYTIC METHODS: Theory and Applications
Proceedings of the Fourth International ConferenceAdelaide, Australia 14 - 16 July 2002

Matrix-analytic methods are fundamental to the analysis of a family of Markov processes rich in structure and of wide applicability. They are extensively used in the modelling and performance analysis of computer systems, telecommunication networks, network protocols and many other stochastic systems of current commercial and engineering interest.
This volume deals with: (1) various aspects of the theory of block-structured Markov chains; (2) analysis of complex queueing models; and (3) parameter estimation and specific applications to such areas as cellular mobile systems, FS-ALOHA, the Internet and production systems.

Contents:

・A New Algorithm for Computing the Rate Matrix of a GI/M/1 Type Markov Chain (A S Alfa et al.)
・Decay Rates of Discrete Phase-Type Distributions with Infinitely-Many Phases (N G Bean & B F Nielsen)
・Distributions of Reward Functions on Continuous-Time Markov Chains (M Bladt et al.)
・An Algorithmic Approach to Fluid Queues (A da Silva Soares & G Latouche)
・Penalized Maximum Likelihood Estimation of the Parameters in a Coxian Phase-Type Distribution (M Faddy)
・MAP/Ph/1 Queues with Level-Dependent Feedback and Their Departure Processes (D Green)
・Matrix Geometric Solution of Fluid Stochastic Petri Nets (A Horvath & M Gribaudo)
・A Markovian Point Process Exhibiting Multifractal Behaviour and Its Application to Teletraffic Modelling (A Horvath & M 　　Telek)
・Application of the Factorization Property to the Analysis of Production Systems with a Non-Renewal Input Bilevel Threshold 　Control Maintenance (H W Lee & N I Park)
・Robustness of FS-ALOHA (B van Houdt & C Blondia)
・Analysis of Parallel-Server Queues Under Spacesharing and Timesharing Disciplines (J Sethuraman & M S Squillante)
・and other papers

Readership: Graduate students, academics, researchers, and industry professionals in mathematics modelling, numerical & computational mathematics, probability & statistics, and engineering.

450pp (approx.) Pub. date: Scheduled Summer 2002
ISBN 981-238-051-5

by Shangzhi Li, Falai Chen, Yaohua Wu, Yunhua Zhang & Jiansong Deng (University of Science and Technology, Hefei, China)

MATHEMATICS EXPERIMENTS

Owing to the advent of computers, experiments are becoming an increasingly important part of mathematics. This book provides guidance to students doing experiments in mathematics. The aim is to stimulate interest in mathematics through examples and experiments.
Each experiment in the book starts with an interesting problem. The students are expected to work with these problems on computers, try to find the solutions themselves, and experience the scientific exploration in the process.

The problems which the authors have chosen cover a wide spectrum in mathematics, ranging from calculus, number theory, coding and probability to geometry and chaos. They are introduced in a simple way and yet show great depth. The discussions are thorough but not lengthy.

This book is useful not only to mathematics students, but also to students in all areas of sciences who are interested in learning some of the mathematical tools. It provides a hands-on approach to the most fundamental issues in mathematics ・an approach which may help to revolutionize the teaching of mathematics.

Contents:

・Fundamentals of Calculus
・How to Calculate p
・Best Fractional Approximation
・Series and Limits
・Primes
・Probability
・Geometric Transformations
・Simulating Physical Phenomena
・Iterates (1) ・Solving Equations
・Find Optimal Solutions
・The Fastest Approach
・Iterates (2) ・Fractals
・Iterates (3) ・Chaos
・Coding
・Machinery Proof to the Theorems of Elementary Geometry

Readership: Researchers, practitioners, lecturers and graduate students in mathematics.


250pp (approx.) Pub. date: Scheduled Fall 2002
ISBN 981-238-049-3
ISBN 981-238-050-7(pbk)

by Ricardo Chacon (University of Extremadura, Spain)

CONTROL OF HOMOCLINIC CHAOS BY WEAK PERIODIC PERTURBATIONS

This monograph presents a reasonably rigorous theory of a highly relevant chaos control method: suppression貌nhancement of chaos by weak periodic excitations in low-dimensional, dissipative and non-autonomous systems. The theory provides analytical estimates of the ranges of parameters of the chaos-controlling excitation for suppression貌nhancement of the initial chaos.
The important applications of the theory presented in the book include: (1) control of chaotic escape from a potential well; (2) suppression of chaos in a driven Josephson junction; (3) control of chaotic solitons in Frenkel訪ontorova chains.

Contents:

・Theoretical Approach
・Nature of Regularized Dynamics
・Robustness of the Theoretical Approach
・Applications
・Further Remarks and Open Problems

Readership: Graduate students and researchers in physics, mathematics, chemistry and biology, as well as electrical, electronic, mechanical systems and control engineering.

220pp (approx.) Pub. date: Scheduled Fall 2002
ISBN 981-238-042-6