Mehra,J.et al

The Probability Interpretation and the Statistical Transformation
Theory, the Physical Interpretation, and the Empirical and
Mathematical Foundations of Quantum Mechanics 1926-1932

2000. XXXVI, 670 pp. Hardcover
0-387-98971-4

A definitive historical study of this scientific work and the human struggles that accompanied it from the very beginning. Drawing on such materials as the resources of the Archives for the History of Quantum Physics, the Niels Bohr Archives, and the archives and scientific correspondence of the principal quantum physicists, as well as Jagdish Mehra personal discussions over many years with most of the architects of quantum theory, the authors have written a rigorous scientific history in a deeply human context. This multivolume work presents a rich account of an intellectual triumph: a unique analysis of the creative scientific process, wrapped in the story of a great human enterprise. Its lessons will be an aid to those working in the sciences and humanities alike.

Contents: I. Preface.- II. Acknowledgments.- III. Prologue.- Chapter 1. The Historical
Interpretation and the Statistical Transformation Theory.- Chapter 2. Uncertainty, Complementarity, and Quantum Fields.- Chapter 3. The Empirical and Mathematical Foundations of Quantum
Mechanics.

Vanderdonckt, J., Universite catholique de Louvain, Belgium
Farenc, C., University of Toulouse, France (Eds.)

Tools for Working with Guidelines
Annual Meeting of the Special Interest Group

2001. IX, 374 pp. Softcover
1-85233-355-3

This volume contains the papers presented at the International Workshop on Toolsfor Working with
Guidelines, (TFWWG 2000), held in Biarritz, France, in October 2000. It is the final outcome of the
International Special Interest Group on Tools for Working with Guidelines.

Human-computer interaction guidelines have been recognized as a uniquely relevant source for
improving the usability of user interfaces for interactive systems. The range of interactive techniques exploited by these interactive systems is rapidly expanding to include multimodal user interfaces, virtual reality systems, highly interactive web-based applications, and three-dimensional user interfaces. Therefore, the scope of guidelines' sources is rapidly expanding as well, and so are the tools that should support users whoemploy guidelines to ensure some form of usability. Tools For Working With Guidelines (TFWWG) covers not only software tools that designers, developers, and human factors experts can use to manage multiple types of guidelines, but also looks at techniques addressing organizational, sociological, and technological issues.

Corchon, L.C., University of Madrid, Spain

Theories of Imperfectly Competitive Markets, 2nd rev. and enlarged ed.

2nd rev. and enlarged ed. 2001. XII, 172 pp. Hardcover
3-540-41122-4

This book presents the theory of Industrial Organization in a unified and concise way. It presents the main models and results in the area, using game theory as a unifying theoretical background. Besides corrections and new sections, the new edition contains a new chapter on games of incomplete information. More than 200 excercises help the reader to understand the results of the book.

Keywords: Industrial Organization, Imperfect Competition, Game Theory

Contents: Introduction.- Nash Equilibrium.- Comparative Statics.- Welfare and Competition.-
Monopolistic Competition.- Two Stage Games.- Incomplete Information.

Gilbarg, D., University of Stanford, CA, USA
Trudinger, N.S., The Australian National University, Canberra, Australia

Elliptic Partial Differential Equations of Second Order, Softcover

Reprint of the 2nd ed., rev. 3rd printing Berlin Heidelberg New York 1998 2001. XVI, 518 pp.
3-540-41160-7

From the reviews:
"This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken troubleto make the treatment self-contained. It (is) suitable required reading for a PhD student. Although the material has been developed from lectures at Stanford,it has developed into an almost systematic coverage that is much longer than could be covered in a year's lectures". Newsletter, New Zealand Mathematical Society, 1985
"Primarily addressed to graduate students this elegant book is accessible and useful to a broad
spectrum of applied mathematicians". Revue Roumaine de Mathematiques Pures et Appliques,1985

Keywords: Elliptic PDE, nonlinear analysis Mathematical Subject Classification ( 2000 ): 25Gxx,
35Jxx

From the reviews: "The aim of the book is to present "the systematic developmentof the general
theory of second order quasilinear elliptic equations and of the linear theory required in the process". The book is divided into two parts. The first (Chapters 2-8) is devoted to the linear theory, the second (Chapters 9-15)to the theory of quasilinear partial differential equations. These 14 chapters are preceded by an Introduction (Chapter 1) which expounds the main ideas and can serve as a guide to the book. ...The authors have succeeded admirably in their aims; the book is a real pleasure to read". Mathematical Reviews,1986

Series: Classics in Mathematics.

Raudys, S., Institute of Mathematics and Informatics, Vilnius, Lithuania

Statistical and Neural Classifiers
An Integrated Approach to Design

2001. Approx. 310 pp. 69 figs. Hardcover
1-85233-297-2

The classification of patterns is an important area of research which is centralto all pattern recognition fields, including speech, image, robotics, and data analysis. Neural networks have been used successfully in a number of these fields, but so far their application has been based on a "black box approach", with no real understanding of how they work. In this book, Sarunas Raudys - an internationally respected researcher in the area - provides an excellent mathematical and applied introduction to how neuralnetwork classifiers work and how they should be used
to optimal effect. Among the topics covered are:
- Different types of neural network classifiers;
- A taxonomy of pattern classification algorithms;
- Performance capabilities and measurement procedures;
- Which features should be extracted from raw data for the best classification results.
This book will provide essential reading for anyone researching or studying relevant areas of pattern recognition (such as image processing, speech recognition, robotics, and multimedia). It will also be of interest to anyone studing or researching in applied neural networks.

Contents: Preface.- Quick Overview.- Taxonomy of Pattern Classification Algorithms.- Performance and the Generalisation Error.- Neural Network Classifiers.- Integration of Statistical and Neural Approaches.- Model Selection.- Appendices.- References.- Subject Index.

Series: Advances in Pattern Recognition.

Perko, L., Northern Arizona University, Flagstaff, AZ, USA

Differential Equations and Dynamical Systems, 3rd ed.

2001. Approx. 560 pp. 229 figs. Hardcover
0-387-95116-4

This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems andtheir bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem, the use of the Poincar・map in the theory of limit cycles, the theory of rotated vector fields and its use in the study of limit cycles and homoclinic loops, and a description of the behavior and termination of one-parameter families of limit cycles. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikovtheory and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise's algorithm for higher order Melnikov functions and on the finite codimension bifurcations that
occur in the class of bounded quadratic systems.

Contents: Series Preface.- Preface to the Third Edition.- Linear Systems.- Nonlinear Systems: Local Theory.- Nonlinear Systems: Global Theory.- Nonlinear Systems: Bifurcation Theory.- References.- Index. 1=

Series: Texts in Applied Mathematics.VOL. 7