Managing Editor:
M. Hazewinkel, CWI, Amsterdam, The Netherlands

Handbook of Algebra
Volume 3

Contents
Preface.
Outline of the Series.
List of Contributors.

Section 1A. Linear Algebra
Linear algebra over commutative rings (J.A. Hermida-Alonso).
Correction to the chapter in Volume 1, Matrix functions (L. Rodman).

Section 2A. Category Theory.
Monads of sets (E. Manes).

Section 2C. Algebraic K-theory.
Classical algebraic K-theory: the functors (A. Kuku).

Section 2D. Model Theoretic Algebra.
(see also Paul C. Eklof, Whitehead modules in section 3B)
Model theory for algebra (M. Prest).
Model theory and modules (M. Prest).

Section 3A. Commutative Rings and Algebras.
Monomial algebras and polyhedral geometry (R.H. Villareal).

Section 3B. Associative Rings and Algebras.
Whitehead modules (P.C. Eklof).
Flat covers (E.E. Enochs).
The Krull-Schmidt theorem (A. Facchini).
Coherent rings and annihilator conditions in matrix and polynomial rings (C. Faith).
Hamilton's quaternions (T.Y. Lam).
Group rings (S.K. Sehgal).
Semiregular, weakly regular and -regular rings (A.A. Tuganbaev).
Max rings and V-rings (A.A. Tuganbaev).

Section 3C. Co-algebras.
Co-algebras (W. Michaelis).

Section 4A. Lattrices and Partially Ordered Sets.
Frames (A. Pultr).

Section 4D. Varieties of Algebras, Groups, ...
Quasivarieties (V.A. Artamonov).
Section 4E. Lie Algebras.
Free lie algebras (C. Reutenauer).

Section 4H. Rings and Algebras with Additional Structure.
Yangians and their applications (A.I. Molev).
Lambda-rings (F. Patras).

Section 5A. Groups and Semigroups.
Branch groups (L. Bartholdi. R. Grigorchuk. Z. Sunik).
Index.

Year 2003
Hardbound
ISBN: 0-444-51264-0
1036 pages

Edited by
W.B. Johnson, Texas A&M University, TX, USA
J. Lindenstrauss, The Hebrew University of Jerusalem, Israel

Handbook of the Geometry of Banach Spaces
Volume 2

Contents
Preface.
Descriptive Set Theory and Banach Spaces (S.A. Argyros, G. Godefroy, H.P. Rosenthal).
Ramsey Methods in Banach Spaces (W.T. Gowers).
Quasi-Banach Spaces (N. Kalton).
Interpolation of Banach Spaces (N. Kalton, S. Montgomery-Smith).
Probabilistic Limit Theorems in the Setting of Banach Spaces (M. Ledoux, J. Zinn).
Quotients of Finite-Dimensional Banach Spaces; Random Phenomena (P. Mankiewicz, N. Tomczak-Jaegermann).
Banach Spaces with few Operators (B. Maurey).
Type-cotype and K-convexity (B. Maurey).
Distortion and Asymptotic Structure (E. Odell, T. Schlumprecht).
Sobolev Spaces (A. Pelczynski, M. Wojciechowski).
Operator Spaces (G. Pisier).
Non-commutative Lp-spaces (G. Pisier, Q. Xu).
Geometric Measure Theory in Banach Spaces (D. Preiss).
The Banach Spaces C (K).
Concentration, Results and Applications (G. Schechtman).
Uniqueness of Structure in Banach Spaces (L. Tzafriri).
Spaces of Analytic Functions with Integral Norm (P. Wojtaszczyk).
Extension of Bounded Linear Operators (M. Zippin).
Nonseparable Banach Spaces (V. Zizler).
Addenda and Corrigenda to Chapter 7, Approximation Properties by Peter G. Cassazza).
Addenda and Corrigenda to Chapter 8, Local Operator Theory, Random Matrices and Banach Spaces (K.R. Davidson, S.J. Szarek).
Operator Ideals (J. Diestel, H. Jarchow, A. Pietsch).
Addenda and Corrigenda to Chapter 15, Infinite Dimensional Convexity).

Year 2003
Hardbound
ISBN: 0-444-51305-1
868 pages

Guest Editor:
C. Le Bris

Handbook of Numerical Analysis
Volume X: Special Volume: Computational Chemistry

Description

The book aims to provide the reader with a general overview of the mathematical and numerical techniques used for the simulation of matter at the microscopic scale. The emphasis lays upon the numerics, but modelling aspects are also addressed. The contributors come from different scientific communities: physics, theoretical chemistry, mathematical analysis, stochastic analysis, numerical analysis.

Contents

Preface.
Forword.
Chapter 1.
Computational Quantum Chemistry: a Primer (C. Cances, M. Defranceschi, W. Kutzelnigg, C. Le Bris, Y. Maday).
Chapter 2.
The Modeling and Simulation of the Liquid Phase (J. Tomasi, B. Mennucci, P. Laug).
Chapter 3.
An Introduction to First-Principles Simulations of Extended Systems (F. Finocchi, J. Goniakowski, X. Gonze, C. Pisani).
Chapter 4.
Computational Approaches of Relativistic Models in Quantum Chemistry (J.P. Desclaux, J. Dolbeault, M.J. Esteban, P. Indelicato, E. Sere).
Chapter 5.
Quantum Monte Carlo Methods for the Solution of the Schrodinger Equation for Molecular Systems (A. Aspuro-Guzik), W.A. Lester, Jr.).
Chapter 6.
Linear Scaling Methods for the Solution of Schrodinger's Equation (S. Goedecker).
Chapter 7.
Finite Difference Methods for Ab Initio Electronic Structure and Quantum Transport Calculations of Nanostructures (J.-L. Fattebert, M.B. Nardelli).
Chapter 8.
Using Real Space Pseudopotentials for the Electronic Structure Problem (J.R. Chelikowski, L. Kronik, I. Vasiliev, M. Jain, Y. Saad).
Chapter 9.
Scalable Multiresolution Algorithms for Classical and Quantum Molecular Dynamics Simulations of Nanosystems (A. Nakano, T.J. Campbell, R.K. Kalia, S. Kodiyalam, S. Ogata, F. Shimojo, X. Su, P. Vashishta).
Chapter 10.
Simulating Chemical Reactions in Complex Systems (M.J. Field).
Chapter 11.
Biomolecular Conformations can be Identified as Metastable Sets of Molecular Dynamics (C. Schutte, W. Huisinga).
Chapter 12.
Theory of Intense Laser-Induced Molecular Dissociation: From Simulation to Control (O. Atabek, R. Lefebre, T.T. Nguyen-Dang).
Chapter 13.
Numerical Methods for Molecular Time-Dependent Schrodinger Equations - Bridging the Perturbative to Non-Perturbative Regime (A.D. Bandrauk, H.-Z. Lu)
Chapter 14.
Control of Quantum Dynamics: Concepts, Procedures and Future Prospects (H. Rabitz, G. Turinici, E. Brown).

Year 2003
Hardbound
ISBN: 0-444-51248-9
1032 pages

Edited by
R. Khattree, Oakland University, Department of Mathematics and Statistics, Rochester, MI, USA
C.R. Rao, The Pennyslvania State University, Department of Statistics, PA, USA

Handbook of Statistics 22: Statistics in Industry

Description

This volume presents a state of the art exposition of topics in the industrial statistics. It serves as an invaluable reference for the researchers in industrial statistics/industrial engineering and an up to date source of information for practicing statisticians/industrial engineers. A variety of topics in the areas of industrial process monitoring, industrial experimentation, industrial modelling and data analysis are covered and are authored by leading researchers or practitioners in the particular specialized topic. Targeting the audiences of researchers in academia as well as practitioners and consultants in industry, the book provides comprehensive accounts of the relevant topics. In addition, whenever applicable ample data analytic illustrations are provided with the help of real world data.


Contents

Part I. Statistics in Research and Development.
Guidelines for selecting factors and factor levels for an industrial designed experiment (V. Czitrom).
Industrial Experimentation for screening (D.J.K. Lin).
The planing and analysis of industrial selection and screening experiments (G. Pan, T.J. Santner, D.M. Goldman).
Uniform experimental designs and their applications in industry (K.T. Fang, D.K.J. Lin).
Mixed Models and repeated measures: some illustrative industrial examples (G.A. Milliken).
Current modeling and design issues in response surface methodology: GLMs and models with block effects (A.I. Khuri).
A review of design and modeling in computer experiments (V.C.P. Chen, K.L. Tsui, R.R. Barton, J.K. Allen).
Quality improvement and robustness via design of experiments (B.E. Ankenman, A.M. Dean).
Software to support manufacturing experiments (J.C. Reece).
Statistics in semiconductor industry (V. Czitrom).
PREDICT: A new approach to product development and life time assessment using information integration technology (J.M. Booker, T.R. Bement, M.A. Meyer, W.J. Kerscher III).
Promises and challenges of mining web transaction data (S.R. Dalal, D. Egan, Y. Ho, M. Rosentein).

Part II. Statistics In On-line Industrial Processes.
Control chart schemes for monitoring the mean and variance of the processes subject to sustained shifts and drifts (Z.G. Stoumbos, M.R. Reynolds Jr., W.H. Woodall).
Multivariate Control Charts: Hotelling-T-square, Data Depth and Beyong, R.Y. Liu).
Sample sizes effective for T2 control charts (R.L. Mason, Y.M. Chou, J.C. Young).
Multidimensional scaling in process control (T.F. Cox).
Quantifying the capability of industrial processes (A.M. Polansky, S.N.U.A. Kirmani).
Taguchi's approach to on line control procedure (M.S. Srivastava, Y. Wu).
Dead bank adjustment schemes for on line feedback quality control (A. Lueno).

Part III. Measurement Processes.
Statistical calibration and measurements (H. Iyer).
Subssampling Designs in Industry: Statistical Inference for Variance Components (R. Khattree).
Repeatability, reproducibility and inter-laboratory tests (R. Khattree).
Tolerancing: Approaches and related issues in industry (T.S. Arthanari).

Part IV. Statistical Inferential Techniques Useful in Industrial Applications.
Goodness of fit tests for univariate and multivariate normal models (D.K. Srivasatava, G.S. Mudholkar).
Normal Theory Methods and their simple robust analogs for univariate and multivariate linear models (D.K. Srivastava, G.S. Mudholkar).
Diagnostic Methods for Univariate and Multivariate Normal Data (D.N. Naik).
Dimension reduction methods used in Industry (G. Merola, B. Abraham).
Growth and Wear Curves (A.M. Kshirsagar).
Time series in industry and business (B. Abraham, N. Balakrishnan).

Part V. Software Reliability.
Stochastic Process Models for reliability in Dynamic Environments (N.D. Singporewala, T.A. Mazzuchi, S. Ozekici, R. Soyer).
Bayesian inference for the number of undetected errors (S. Basu).

Year 2003
Hardbound
ISBN: 0-444-50614-4
approx 1000 pages