Senato, D., Universita della Basilicata, Potenza, Italy
Crapo, H., Cams, Paris, France
(Eds.)
Algebraic Combinatorics and Computer Science
A Tribute to Giancarlo Rota
2000. Approx. 355 pp.
88-470-0078-5
This volume consists of a selection of surveys and research papers on Algebraic Combinatorics and
Theoretical Computer Science given during the VI Italian Congress on Algebraic Combinatorics held in
October 1999 in Maratea (Italy). The work is a tribute to Giancarlo Rota and it is the result of a unique
cooperation of leading researchers, deeply influenced by Rota's thought. The essays and research papers
deal with recent developments in maths, which are particularly interesting both for mathematicians and
graduate students. Among the authors: Edoardo Vesentini, Martin Aigner, Dominique Perrin.
Contents: I: Fubini Lectures - by Vesentini.- II: Lectures in Combinatorial Theory and Theoretical Computer
Science - by Aigner/Perrin/Barnabei/Bonetti.- III: Topics on Rota's Mathematical Thought - by
Bucksbaum/Rota/Stein/Brini/ Regonati/Theolis et al.- IV: A tribute by friends, pupils and admirers - by
Lascoux/Codenotti/Picon/Justin/Giambruno et al.
Fields: Combinatorial Mathematics/Graph Theory and Discrete Mathematics;
Computational Mathematics and Scientific Computing; Theory of Computation
Written for: Mathematicians, computer scientists
Book category: Proceedings
Publication language: English
Serre, J.-P., College de France, Paris, France
Complex Semisimple Lie Algebras
Reprint of the 1st ed. Berlin, Heidelberg, New York 1987 2000. IX, 74 pp. 6 figs.
3-540-67827-1
These notes, already well known in their original French edition, give the basic theory of semisimple Lie
algebras over the complex numbers including the basic classification theorem. The author begins with a
summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters
introduce Cartan subalgebras, root systems, and representation theory. The theory is illustrated by using
the example of sln; in particular, the representation theory of sl2 is completely worked out. The last chapter
discusses the connection between Lie algebras and Lie groups, and is intended to guide the reader towards
further study.
Keywords: Lie algebras, group theory 17B05 ; 17B20
Contents: Nilpotent Lie Algebras and Solvable Lie Algebras.- Semisimple Lie Algebras (General
Theorems).- Cartan Subalgebras.- The Algebra sl2 and Its Representations.- Root Systems.- Structure of
Semisimple Lie Algebras.- Linear Representations of Semisimple Lie Algebras.- Complex Groups and
Compact groups.- Bibliography.- Index.
Series: Springer Monographs in Mathematics.
Lang, J., Konrad-Zuse Zentrum, Berlin
Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems
Theory, Algorithm, and Applications
2000. VIII, 157 pp.
3-540-67900-6
This book deals with the adaptive numerical solution of parabolic partial differential equations (PDEs)
arising in many branches of applications. It illustrates the interlocking of numerical analysis, the design of
an algorithm and the solution of practical problems. In particular, a combination of Rosenbrock-type
one-step methods and multilevel finite elements is analysed. Implementation and efficiency issues are
discussed. Special emphasis is put on the solution of real-life applications that arise in today's chemical
industry, semiconductor-device fabrication and health care. The book is intended for graduate students and
researchers who are either interested in the theoretical understanding of instationary PDE solvers or who
want to develop computer codes for solving complex PDEs.
Keywords: nonlinear parabolic problems, Rosenbrock methods, adaptive finite elements, error control,
applications MSC ( 2000 ): 65M12, 65M15, 65M60, 68N30
Series: Lecture Notes in Computational Science and Engineering.VOL. 16
Wesseling, P., Delft University of Technology, Delft, The Netherlands
Principles of Computational Fluid Dynamics
2001. XII, 644 pp.
3-540-67853-0
The book is aimed at graduate students, researchers, engineers and physicists involved in fluid
computations. An up-to-date account is given of the present state of the art of numerical methods
employed in computational fluid dynamics. The underlying numerical principles are treated with a fair
amount of detail, using elementary methods. Attention is given to the difficulties arising from geometric
complexity of the flow domain. Uniform accuracy for singular perturbation problems is studied, pointing the
way to accurate computation of flows at high Reynolds number. Unified methods for compressible and
incompressible flows are discussed. A treatment of the shallow-water equations is included. A basic
introduction is given to efficient iterative solution methods. Many pointers are given to the current
literature, facilitating further study.
Keywords: Fluid dynamics, numerical methods, numerical analysis, computational fluid dynamics MSC (
2000 ): 76M, 65M
Series: Springer Series in Computational Mathematics.VOL. 29
Fields: Numerical Analysis and Computation; Mathematical and Computational Methods; Mathematical Physics
Written for: Researchers, graduate students, engineers and physicists
Book category: Monograph
Publication language: English
Ahmed, S.E., University of Regina, Sask., Canada
Reid, N., University of Toronto, Ont., Canada
(Eds.)
Empirical Bayes and Likelihood Inference
2000. Approx. 255 pp.
0-387-95018-4
Bayesian and likelihood approaches to inference have a number of points of close contact, especially from
an asymptotic point of view. Both approaches emphasize the construction of interval estimates of unknown
parameters. Empirical Bayes methods have historically emphasized instead the construction of point
estimates. In this volume researchers present recent work on several aspects of Bayesian, likelihood and
empirical Bayes methods, presented at a workshop held in Montreal, Canada. The goal of the workshop was
to explore the linkages among the methods, and to suggest new directions for research in the theory of
inference.
Contents: Bayes/EB Ranking, Histogram and Parameter Estimation: Issues and Research Agenda (Thomas
A. Louis).- Empirical Bayes Estimation and EM Algorithm in One-Way Analysis of Variance Situations
(Irwin Guttman).- EB and EBLUP in Small Area Estimation (J.N.K. Rao).- Semiparametrics, Nonparametrics
and EB Procedures in Linear Models (P.K. Sen).- Empirical Bayes Procedures for a Change Point Problem
with Application to HIV/AIDS Data (Sharon-Lise Normand/Kjell Doksum).- Bayes and Empirical Bayes
Estimates of Survival and Hazard Functions of a Class of Distributions (M. Ahsanullah/S. Ejaz Ahmed).-
Bayes and Empirical Bayes Procedures for Selecting Good Populations from a Translated Exponential
Family (Radhey S. Singh).- PTE and JS Type Estimation of Regression Coefficients from Censored Data with
Multiple Observation (S. Ejaz Ahmed).- Bayesian and Likelihood Inference for the Generalized Fieller-Creasy
Problem (Ming Yin/Malay Ghosh).- The Estimation of Ratio from Paired Data (David A. Sprott).-
Meta-Analysis: Conceptual Issues of Addressing Apparent Failure of Individual Study Replication or
"Inexplicable" Heterogeneity (Keith O'Rourke).- Ancillary Information for Statistical Inference (D.A.S.
Fraser et al.).- The Relevance Weighted Likelihood with Applications.
Series: Lecture Notes in Statistics.VOL. 148