Howard, D., Unversity of Notre Dame, USA / Stachel, J., Boston University,USA (Ed.)
1999. Approx. 280 pages. Hardcover
ISBN 3-7643-4030-4
Due in December 1999
This volume brings together some of the best recent scholarship
on what might be termed Einstein's formative
period, that is, the thirty years before he obtained his first
academic position in 1909.
Topics covered include Einstein's early reading and his
university education, his early views on scientific method and
some of the
crucial philosophical influences shaping those views, his early
work on statistical mechanics, Brownian motion, quantum theory,
relativity
theory, and his youthful vision of a unified foundation for
physics. An engaging book examining the young Einstein from a
variety of
perspectives---personal, scientific, historical, and
philosophical.
Contents
1. Introduction: Deepening the Foundations of Physics, John
Stachel
2. The Mysteries and Wonders of Natural Science: Aaron
Bernstein's Naturwissenschaftliche Volksb?cher and the Adolescent
Einstein,
Frederick Gregory
3. The Young Einstein's Physics Education: H.F. Weber, Hermann
von Helmholtz, and the Zurich Polytechnic Physics Institute,
David Cahan
4. Kant's Impact on Einstein's Thought, Mara Beller
5. Einstein's Controversy with Drude and the Origin of
Statistical Mechanics: A New Glimpse from the Love Letters,
J?rgen Renn
6. Physical Approximations and Stochastic Processes in Einstein's
1905 Paper on Brownian Motion, Sahotra Sarkar
7. The Construction of the Special Theory: Some Queries and
Considerations, Robert Rynasiewicz
8. Einstein's Light Quantum Hypothesis: Or Why Didn't Einstein
Propose the Bose-Einstein Gas Twenty Years Earlier?,John Stachel
Bass, H., Columbia University, New York, USA / Lubotsky, A., Hebrew University, Jerusalem, Israel
Progress in Mathematics 176
1999. Approx. 232 pages. Hardcover
ISBN 3-7643-4120-3
Due in April 2000
Group actions on trees furnish a unified geometric way of
recasting the chapter of combinatorial group theory dealing with
free groups, amalgams, and HNN extensions. Some of the principal
examples arise from rank one simple Lie groups over a
non-archimedean
local field acting on their Bruhat--Tits trees. In particular
this leads to a powerful method for studying lattices in such Lie
groups.
The monograph extends this approach to the more general
investigation of lattices in the (locally compact) group of
automorphisms of a
locally finite tree X; these are called X-lattices. Special
attention is given to both parallels and contrasts with the above
theory
in the case of Lie groups. Beyond the Lie group connection, the
theory has applications to combinatorics and number theory.
The authors present a coherent survey of the results on uniform
tree lattices, and a (previously unpublished) development of the
theory of non-uniform tree lattices. The latter is much more
complicated than the uniform case; thus a good deal of attention
is given to
the construction and study of diverse examples. The fundamental
technique is the encoding of tree actions in terms of the
corresponding quotient "graphs of groups."
Tree Lattices should be a helpful resource to researchers in the
field, and may also be used for a graduate course in geometric
group
theory.
Contents
Preface / Introduction
1. Lattices and Volumes
2. Graphs of Groups and Edge-Indexed Graphs
3. Tree Lattices
4. Arbitrary Real Volumes, Cusps, and Homology
5. Length Functions, Minimality
6. Centralizers, Normalizers, and Commensurators
7. Existence of Tree Lattices
8. Non-uniform Lattices on Uniform Trees
9. Parabolic Actions, Lattices, and Trees Appendix A: The P
Neumann Groups
10. Lattices of Nagao Type
Bibliography
Index
Reznikov, A., Ecole Polytechnique,Palaiseau,
France
Schappacher, N., UFR Mathematique et Informatique, Strasbourg,
France (Ed.)
Progress in Mathematics 171
1999. Approx. 380 pages. Hardcover
ISBN 3-7643-4115-7
The focus in this book is on the theory of regulators and
secondary invariants, with articles written and refereed by
experts in their respective fields.
A short historical and mathematical overview of the theory of
regulators from its number theoretic origins, and its connections
to
analysis, topology, differential geometry, and algebra, is
presented by the editors in the introduction, with key topics
noted as follows:
hyperbolic volume and the Borel regulator, the Chern--Simons
invariant, the Bloch-Beilinson regulator, polylogarithms
(classical and
elliptic), p-adic analalogues, and analytic torsion.
Contributors include:
D. Blasius, S. Bloch, C. Deninger, H. Esnault,
H. Gangl, A. Goncharov, K. K?hler, K.
K?nnemann, A. Levin, J. Lott, V. Maillot, J.
Rogawski, and J. Wildeshaus.
This work is an outgrowth of a conference held at the Hebrew
University in Jerusalem on Regulators in Analysis, Geometry and
Number
Theory, and should appeal to a broad audience of graduate
students and research mathematicians.
Contents
Editors' Foreword / Introduction /
Cohomology of Congruence Subgroups of SU
(2, 1)p and Hodge Cycles on Some Special
Complex Hyperbolic Surfaces / Remarks on
Elliptic Motives / On Dynamical Systems and
their Possible Significance for Arithmetic
Geometry / Algebraic Differential Characters
/ Computations in Weight 4 Motivic
Cohomology / Geometry of the Trilogarithm /
Complex Analytic Torsion Forms for Torus
Fibrations and Moduli Spaces / Theoremes de
Lefschetz et de Hodge Arithmetiques pour les
Varietes Admettant une Decomposition
Cellulaire / Polylogarithms on Abelian
Varieties / Secondary Analytic Indices /
Elliptic Modular Units
Bellomo, N., Politecnico di Torino, Italy
Pulvirenti, M., University of Rome, Italy /(Ed.)
1999. Approx. 464 pages. Hardcover
ISBN 3-7643-4102-5
Due in April 2000
Modeling complex biological, chemical and physical systems, in
the context of spatially heterogeneous mediums, is a
challenging task for scientists and engineers using traditional
methods of analysis.
"Modeling in Applied Sciences" is a comprehensive
survey of modeling large systems using kinetic equations, and in
particular the Boltzmann equation and its generalizations. An
interdisciplinary group of leading authorities carefully develop
the
foundations of kinetic models and discuss the connections and
interactions between model theories, qualitative and
computational
analysis and real-world applications. This book provides a
thoroughly accessible and lucid overview of the different
aspects, models,
computations and methodology for the kinetic-theory modeling
process.
This new book is an essential resource for all scientists and
engineers who use large-scale computations for studying the
dynamics of
complex systems of fluids and particles. Professionals,
researchers and postgraduates will find the book a modern and
authoritative
guide to the topic.
Contents
Preface/ Generalized Boltzmann in Applied
Sciences/ Rapid Granular Flows: Kinetics and
Hydrodynamics/ Collective Behavior of
One-Dimesional Granulas Media/ Notes on
Mathematical Problems on the Dynamics of
Dispersed Particles Interacting through a
Fluid/ The Becker-Doring Equations/
Nonlinear Kinetic Models with Chemical
Reactions/ Development of Boltzmann Models
in Mathematical Biology/ Kinetic Traffic Flow
Models
Ch 9- Kinetic Models for Large
Communication Networks/ Numerical
Simulation of the Boltzmann Equation by
Particle Methods/ Index
Dirk Van Dalen, Emeritus Professor of Logic,
Philosophy and Foundations of
Mathematics, University of Utrecht, Netherlands
Volume 1: The Dawning Revolution
Hardback, 0-19-850297-4
Publication date: 11-02-1999
456 pages, 28 halftones, line illustrations, 234mm x 156
Best existing exposition of role mysticism Provides a coherent
exposition of Brouwerian topology
Analyses the roots and practice of intuitionism Fascinating
insights into the European mathematical community
Provides an analysis of the role of Dutch academia in
mathematical research
Readership: Graduate students and researchers in logic, computer
science, topology, history of mathematics. Anyone interested in
nineteenth and twentiethcentury history of science.
Luitzen Egbertus Jan Brouwer is a remarkable figure, both in the
development of mathematics and in wider Dutch history. A
mathematical genius with strong mystical and philosophical
leanings, he advocated a constructivistic, more human view of
mathematics and science. As well as his diverse mathematical
interests he had a great impact in wider Dutch society, and was
often involved in controversial
issues, such as the campaign to undo the boycott of German
scientists. This book provides a sophisticated analysis of this
crucial era of mathematical research, but also gives an important
insight into the wider life of one of the most fascinating
characters involved. This book is available at the specially
discounted price of £49.95 to customers in the Netherlands.
Contents/contributors
1 Child and student
2 Mathematics and mysticism
3 The dissertation
4 Cantor-Schoenflies topology
5 The new topology
6 Making a career
7 The war years
8 Mathematics after the war
9 Politics and mathematics
10 The breakthrough
11 Bibliography of Brouwer's writingsReferences Index
References
Index
Luigi Ambrosio, Professor, Scuola Normale Superiore, Pisa, Nicola Fusco,
Series: Oxford Mathematical Monographs
Hardback, 0-19-850245-1
Publication date: 24 March 2000
448 pages, 2 halftones, 25 line figures, 234mm x 156mm
Readership: Primary market: Postgraduate mathematics students and
researchers working in calculus of variation and geometric
measure theory. Secondary Market: Postgraduate students and
researchers working in mathematical physics and applied
mathematics.
This book deals with a class of mathematical problems which
involve the minimization of the sum of a volume and a surface
energy and have lately been refered to as 'free discontinuity
problems'. Examples of such problems come from fracture
mechanics, image analysis, or the theory of phase transitions. A
systematic introduction to this field, this book is highly
suitable for graduate students, bridging
the gap between research level texts and elementary textbooks on
measure theory and calculus of variation.
Contents/contributors
Measure Theory
Basic Geometric Measure Theory
Functions of bounded variation
Special functions of bounded variation
Semicontinuity in BV
The Mumford-Shah functional
Minimisers of free continuity problems
Regularity of the free discontinuity set
References
Index
Robert J. Deltete / Georg Helm
As the only book-length general history and defense of
energetics, Georg Helm's Energetik is a unique and important
work. Conceived in the strife of the great debate on energetics
at the L?beck Naturforscherversammlung, Helm's book seeks to
achieve several distinct, although often closely related,
objectives. It tries to revise, clarify and defend Helm's own
development of energetic theory in order to rebut critics,
especially Boltzmann and Planck. It also seeks to defend and
promote a phenomenalist conception of energetics and thus a view
of the history, nature and goal of physical theory that both
responds to criticism and separates Helm's vision of a science of
energy from those of others, notably Ostwald. Finally, it
presents and defends energetics, despite its fitful development,
as `a unified development of thought', which must be `understood
as a whole', since it amounts to nothing less than a `great
reorientation in the human understanding of natural events'.
This book provides the first English translation of Helm's
seminal work andoffers an introduction to its contours and
content.
Contents
Preface. Part One: The Establishment of the First Law. Part Two:
Preparation for the Second Law. Part Three: Classical
Thermodynamics.
Part Four: New Initiatives, Disputes and Misplaced Efforts. Part
Five: The
Energetic Treatment of Chemistry. Part Six: The Energetic
Foundation of
Mechanics. Part Seven: Energy Factors. Part Eight: The Mechanical
Approach to Energetics and Mechanical Pictures.
Kluwer Academic Publishers, Dordrecht
Hardbound, ISBN 0-7923-5874-0
December 1999, 432 pp.
Jiju Antony
Dept. of Accouting and Management Science (AMS), University of
Portsmouth, UK
Mike Kaye
Dept. of Accounting and Management Science (AMS), University of
Portsmouth, UK
A Strategic Approach to Achieve and Improve Quality
Improving the quality of products and manufacturing processes at
low cost is an economic and technological challenge to industrial
engineers and managers alike. In today's business world, the
implementation of experimental design techniques often falls
short of the mark due to a lack of statistical knowledge on the
part of engineers and managers in their analyses of manufacturing
process quality problems. This timely book aims to fill this gap
in the statistical knowledge required by engineers to solve
manufacturing quality problems by using Taguchi experimental
design methodology. The book increases awareness of strategic
methodology through real-life case studies, providing valuable
information for both academics and professionals with no prior
knowledge of the theory of probability and statistics.
Experimental Quality:
Provides a unique framework to help engineers and managers
addressquality problems and use strategic design methodology.
Offers detailed case studies illustrating the implementation of
experimental design theory.
Is easily accessible without prior knowledge or understanding
ofprobability and statistics
This book provides an excellent resource for both academic and
industrial environments, and will prove invaluable to practising
industrial engineers, quality engineers and engineering managers
from all disciplines.
Contents
Preface. Acknowledgements. 1. Introduction. 2. The Taguchi
approach to
quality improvement. 3. The Taguchi approach to industrial
experimentation.
4. Assignment of factor and interaction effects to an OA. 5.
Classification of
factors and choice of quality characteristics. 6. A strategic
methodology for
Taguchi design of experiments. 7. Problem classification. 8.
Metrology
considerations for industrial experimentation. 9. Analysis and
interpretation of
data from Taguchi experiments. 10. Industrial case studies.
Appendices.
Glossary. Index.
Hardbound, ISBN 0-412-81440-4
November 1999, 272 pp.
M. Kracht, Freie Universit?t Berlin, II. Mathematisches Institut, Berlin, Germany
Included in series
Studies in Logic and the Foundations of Mathematics, 142
Description
This book treats modal logic as a theory, with several
subtheories, such as completeness theory, correspondence theory,
duality theory and transfer theory and is intended as a course in
modal logic for students who have had prior contact with modal
logic and who wish to study it more deeply. It presupposes
training in mathematical or logic. Very little specific knowledge
is presupposed, most results which are needed are proved in this
book.
Contents
About this Book.
Overview.
Part 1. The Fundamentals.
Part 2. The General Theory of Modal Logic.
Part 3. Case Studies.
Index.
Bibliography.
Hardbound
ISBN: 0-444-50055-3
572 pages
Larry Wos with Gail W Pieper (Argonne National
Laboratory)
Volume 1: Exploring the Power of Automated Reasoning
Volume 2: Applying Automated Reasoning to Puzzles, Problems, and
Open Questions
Automated reasoning programs are successfully tackling
challenging problems in mathematics and logic, program
verification, and circuit design. This two-volume book includes
all the published papers of Dr Larry Wos, one of the world'
pioneers in automated reasoning. It provides a wealth of
information for students, teachers, researchers, and even
historians of computer science about this rapidly growing field.
The book has the following special features:
(1)
It presents the strategies introduced by Wos which have made
automated reasoning a practical tool for solving challenging
puzzles and deep problems in mathematics and logic;
(2)
It provides a history of the field Efrom its earliest stages as
mechanical theorem proving to its broad base now as automated
reasoning;
(3)
It illustrates some of the remarkable successes automated
reasoning programs have had in tackling challenging problems in
mathematics, logic, program verification, and circuit design;
(4)
It includes a CD-ROM, with a searchable index of all the papers,
enabling readers to peruse the papers easily for ideas.
Readership: College students, teachers, and researchers in
automated reasoning, computer science, mathematics, logic and
historians of computer science.
1600pp (approx.)
Pub. date: Scheduled Spring 2000
ISBN 981-02-4001-5(set)