Edited by
P.J.N. Baert , University of Cambridge, Faculty of Social and Political SciencesTime in Contemporary Intellectual Thought
Description
In this book, fifteen authors from a wide spectrum of disciplines (ranging from the natural sciences to the arts) offer assessments of the way time enters their work, the definition and uses of time that have proved most productive or problematic, and the lessons their subjects can offer for our understanding of time beyond the classroom and laboratory walls. The authors have tried, without sacrificing analytical rigour, to make their contribution accessible to a cross-disciplinary readership. Each chapter reviews time's past and present application in its respective field, considers the practical and logical problems that remain, and
assesses the methods researchers are using to escape or resolve them. Particular attention is paid to ways in which the technical treatment of time, for problem-solving and model-building around specific phenomena, call on - or clash with - our intuitive perceptions of what time i and does. The spans of time considered range from the fractions of seconds it takes unstable particles to disintegrate to the millions of years required for one species to give way to another. Like all central conceptual words, time is understood on several levels. By inviting input from a broad range of disciplines, the book aims to provid a fuller understanding of those levels, and of the common ground that lurks at their base. Much agreement emerges - not only on the nature of the problems time presents to modern intellectual thought, but also on the clues that recent discoveries may offer towards possible solutions.
Contents
Introducing time (P. Baert, A. Shipman).
The complete description of temporal reality (R. Teichmann).
The temporalization of time in modern philosophy (M. Sandbothe).
Understandings of time in complementaristic language (L. Löfgren).
The origin of the universe (W.H. Newton-Smith).
A clash of doctrines: The arrow of time in modern physics (P. Coveney).
Past events never come back (X. De Hemptinne).
Time's poisened arrow: Reconstructing evolutionary history (A. Friday).
Time and evolution (I. Tattersall).
Real time and telative indeterminacy in economic theory (M. Rizzo).
Time in economic theory (F. Hahn).
Time in social theory (P. Baert).
Political theory and time (M. Lane).
Time and anthropology (A. Gell).
Postmodernist theories and the question of time (M. Quie).
Time in Psychology (W. Friedman).
Conclusion: A time whose idea has come (A. Shipman, P. Baert).
Index.
Hardbound
ISBN: 0-444-82903-2
338 pages
P.G. Ciarlet , Universitet Pierre et Marie Curie, Paris
Mathematical Elasticity Volume III
: Theory of Shells
Included in series
Studies in Mathematics and its Applications, 29
Description
The objective of Volume III is to lay down the proper mathematical foundations of the two-dimensional theory of shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of two-dimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter.
Contents
Part A. Linear Shell Theory.
1. Three-dimensional linearized elasticity and Korn's inequalities in curvilinear coordinates.
2. Inequalities of Korn's type on surfaces.
3. Asymptotic analysis of linearly elastic shells: Preliminaries and outline.
4. Linearly elastic elliptic membrane shells.
5. Linearly elastic generalized membrane shells.
6. Linearly elastic flexural shells.
7. Koiter's equations and other linear shell theories.
Part B. Nonlinear Shell Theory.
8. Asymptotic analysis of nonlinearly elastic shells: Preliminaries.
9. Nonlinearly elastic membrane shells.
10. Nonlinearly elastic flexural shells.
11. Koiter's equations and other nonlinear shell theories.
Hardbound
ISBN: 0-444-82891-5
666 pages
LEONID PERLOVSKY, Nicholas Research Corporation
Neural Networks and Intellect
Using Model Based Concepts
Intended for a broad audience, Neural Networks and Intellect reviews most of the mathematical concepts and engineering approaches to the development of intelligent systems discussed since 1940.
It presents a new mathematical concept of modeling field theory and its applications to a variety of problems along with relationships between mathematics, computational concepts in neural networks, and concepts of mind in psychology and philosophy.
The origin of the Aristotelian mathematics of mind is traced in Grossberg's ART neural network: and its essential components turns out to be fuzzy logic.
Among the discussed topics are hierarchical and heterarchical organization of intelligent systems, statistical
learning theory, genetic algorithms, complex adaptive systems, mathematical semiotics, dynamical nature of symbols, Godel theorems of intelligence, emotions and thinking, the mathematics of emotional intellect, and consicousness.
Due: 09/15/00 Tentative
640 pp.; 160 illus.; 7-1/2 x 9-1/4; 0-19-511162-1
RALPH A. ALPHER, Union College,
ROBERT HERMAN, University of Texas, Austin (Emeritus)Genesis of the Big Bang
The authors of this volume have been intimately connected with the conception of the Big Bang model since 1947. Following the late George Gamov's ideas in 1942 and more particularly in 1946 that the early universe was an appropriate site for the synthesis of the elements, they became deeply involved in the question of cosmic nucleosynthesis and particularly the synthesis of the light elements.
In the course of this work they developed a general relativistic model of the expanding universe with physics folded in, which led in a progressive, logical sequence to our prediction of the existence of a present cosmic background radiation some seventeen years before the observation of such radiation was reported by Penzias and Wilson.
In addition, they carried out with James W. Follin, Jr., a detailed study of the physics of what was then considered to be the very early universe, starting a few seconds after the Big Bang, which still provides a methodology for studies of light element nucleosynthesis. Because of their involvement, they bring a personal
perspective to the subject. They present a picture of what is now believed to be the state of knowledge about the evolution of the expanding universe and delineate the story of the development of the
Big Bang model as they have seen and lived it from their own unique vantage point.
Due: 11/17/00 Tentative
256 pp.; 2 halftones, 20 line illus; 6-1/8 x 9-1/4; 0-19-511182-6
JEREMY GRAY and DAVID ROWE, University of Mainz, England
The Hilbert Challenge
A Perspective on Twentieth Century Mathematics
Few problems in mathematics have had the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving some of them like Fermat's last theorem, but several remain unsolved including the Riemann Hypotheses, which has eluded all the great minds of this century.
A hundred years later, this book takes a fresh look at the problems, the man who set them, and the reasons for their lasting impact on the mathematics of the twentieth century. In this fascinating book, the authors consider what makes this the pre-eminent collection of problems in mathematics, what they tell us about what drives mathematicians, and the nature of reputation, influence and power in the world of modern mathematics. It is written in a clear and entertaining style and will appeal to anyone with interest in mathematics or those mathematicians willing to try their hand at these problems.
October 2000
240 pp.; 26 line illus; 0-19-850651-1
Reinhold A. Bertlmann, Institute of Theoretical Physics, University of Vienna
Anomalies in Quantum Field Theory
This is the first textbook in the field Summarizes developments of the last 20 years Self-contained and comprehensive Modern mathematical formulation
580 pages, numerous line figures, 234mm x 156mm
Series: International Series of Monographs on Physics
Details
Ordering
Hardback, 0-19-852047-6
Paperback, 0-19-850762-3
Publication date: 14 March 1996
Description
Readership: Postgraduate students in theoretical physics.
This is the first textbook on the subject of anomalies in Quantum Field Theory. An anomaly is the failure of a classical symmetry to survive the process of quantization and regularization. The study of anomalies has played an important role in quantum field theory in the last 20 years, a role which is described clearly and
comprehensively in this book. The author approaches the subject through differential geometry, a method that has received much attention in recent years, and gives detailed derivations and calculations which will be invaluable to students.
Contents/contributors
1 Introduction
2 Differential geometry, topology and fibre bundles
3 Path integrals, FP method and BRS transformation
4 Anomalies in QFT
5 Path integral and anomaly
6 Physics in terms of differential forms
7 Chern-Simons form, homotopy operator and anomaly
8 Consistent anomaly
9 Stora-Zumino chain of descent equations
10 Convenient anomaly
11 Index and anomaly
12 Gravitation
Bibliography
Johann Boos, Professor of Mathematics, FernUniversitaet - Gesamthochschule Hagen
Classical and Modern Methods in Summability
Unique text on summability Integrates the classical theory and aspects of current interest Contains recent investigations in summability Many applications in e.g. function theory, Fourier analysis, number theory, and
stochastics Abundant bibliography
592 pages, 14 line figures, 234mm x 156mm
Series: Oxford Mathematical Monographs
Details
Hardback, 0-19-850165-X
Publication date: December 2000
Description
Readership: Graduate mathematics students, lecturers, and researchers working in functional and numerical analysis, function theory, Fourier analysis, number theory, and stochastics.
Summability is a mathematical topic with a long tradition and with many applications in, e.g., function theory, number theory, and stochastics. The present book aims to introduce the reader to the wide field of summability and its applications, and provides an overview of the most important classical and modern methods used. Lecturers, graduate students, and researchers working in summability and related
topics will find this a useful introduction and reference work.
Contents
Preface
Part I: Classical methods in summability and applications
1 Convergence and divergence
2 Matrix methods: Basic classical theory
3 Special summability methods
4 Tauberian Theorems
5 Application of matrix methods
Part II: Functional analytic methods in summability
6 Functional analytic basis
7 Topological sequence spaces: K- and FK-spaces
8 Matrix methods: Structure of the domains
Part III: Combining classical and functional analytic methods
9 Consistency of matrix methods
10 Saks spaces and bounded domains
11 Some aspects of Topological Sequence Spaces
Bibliography
Index