Bederson, B., New York University, NY, USA
(Ed.)
A Celebration of Physics at the Millenium
1999. XXI, 841 pp.
0-387-98662-6
The 20th century has been the century of unparalleled scientific
advances fuelled primarily by
discoveries made by physicists. The century also represents the
life span of the American
Physical Society, not coincidentally, and to celebrate both its
own centennial and this remarkable
century, the APS has prepared this book highlighting the seminal
discoveries of the 20th century,
with invited articles by the world's most eminent living
physicists, including 12 physics Nobel Prize
winners. Some 40 chapters cover a broad range of topicsin physics
written in an engaging and
personal style. While the technical level is high, these are not
review articles, but rather perspectives
on discoveries written by those scientists most closely
associated with the original work, as well as
future directions ofresearch.
Levesque, H.J., University of Toronto, Ont., Canada
Pirri, F., Universita di Roma "La Sapienza", Rome,
Italy(Eds.)
Contributions in Honor of Ray Reiter
1999. XII, 405 pp. 32 figs.
3-540-66012-7
This collection of papers is the outcome of the work of a
community of researchers in AI who,
during the last twenty years, havedeveloped the logical
formalisms and methods for characterizing
intelligent behaviors of agents, knowledge-based systems
andprocesses in terms of reasoning about
the environment, actions, and activities that are capable of
changing the current state. The book
deals with commonsense reasoning, in particular with Reiter's
Default Logic formalism, the theory
of actions and reasoning aboutactions, including formalisms for
high-level robot control, and different
approaches to knowledge representation, all based on
symboliclogic.
Keywords: commonsense reasoning, default logic, non - monotonic
reasoning, reasoning about action and
change, hybrid systems
Series: Artificial Intelligence.
Fields: Artificial Intelligence; Formal Languages; Mathematical
Logic and Set Theory
Written for: Scientists/researchers, students, libraries
Book category: Professional Book
Publication language: English
Zong, C., Chinese Academy of Sciences, Beijng, China
1999. Approx. 250 pp. 31 figs.
0-387-98794-0
Preliminary Text. Do not use. Sphere Packings is one of the most
attractive and challenging subjects
in mathematics. Almost 4 centuries ago, Kepler studied the
densities of sphere packings and made
his famous conjecture. In the course of centuries, manyexciting
results have been obtained, ingenious
methods created, related challenging problems proposed, and many
surprisingconnections with othe
subjects found. Thus, though some of its original problems are
still open, sphere packings has been developed into
an important discipline. This book tries to give a full account
of this fascinating subject, especially its local
aspects, discrete aspects and its proof methods.
Keywords: Shere packing Kabatjanski - Levenstein method lattice
packings sausage conjecture
Contents: The Gregory-Newton Problem and Kepler's Conjecture
- Positive Definite Quadratic Forms and Lattice Sphere Packings.
- Lower Bounds for the Packing Densities of Spheres.
- Lower Bounds for the Blocking Numbers and the Kissing Numbers
of Spheres
- Sphere Packings Constructed from Codes.
- Upper Bounds for the Packing Densities and the Kissing Numbers
of Spheres I.
- UpperBounds for the Packing Densities and the Kissing Numbers
of Spheres II.
- Upper Bounds for the Packing Densities and the KissingNumbers
of Spheres III.
- The Kissing Numbers of Spheres in Eight and Twenty Four
Dimensions.
- Multiple Sphere Packings.
- Holes inSphere Packings.- Problems of Blocking Light Rays.
- Finite Sphere Packings.
Series: Universitext.
Hsieh, P.-F., Western Michigan University Kalamazoo, MI, USA
Sibuya, Y., University of Minnesota, Minneapolis, MN, USA
(Eds.)
1999. Approx. 500 pp. 120 figs.
0-387-98699-5
Preliminary Text. Do not use. The authors' aim is to provide the
reader with the very basic
knowledge necessary to begin research ondifferential equations
with professional ability.
The selection of topics should provide the reader with methods
and results which areapplicable
in a variety of different fields. The book is divided into four
parts. The first covers fundamental
existence, uniqueness,smoothness with respect to data, and
nonuniqueness. The second part describes
the basic results concerning linear differentialequations, the
third deals with nonlinear equations.
In the last part the authors write about the basic results
concerning power seriessolutions.
Each chapter begins with a brief discussion of its contents and
history and ends with a number
of problems and exercises.
Keywords: Ordinary Differential Euquations
Contents: Fundamental Theorems of Ordinary Differential
Equations.- Dependence of Data.
- Nonuniqueness.- General Theory ofLinear Systems.- Singularities
of the First Kind.
- Boundary-value Problems of Linear Differential Equations of the
Second Order.-
Asymptotic Behavior of Solutions of Linear Systems.- Stabiblity.-
Autonomous Systems.
- Second Order Differential Equations.-
Asymptotic Expansions.- Asymptotic Expansions in a Parameter.-
Singularities of the Second Kind.
Series: Universitext.
Shakarchi, R., Princeton University, Princeton, NJ, USA
1999. Approx. 255 pp. 35 figs.
0-387-98831-9
All the exercises plus their solutions for Serge Lang's fourth
edition of "Complex Analysis,"
ISBN 0-387-98592-1. The problems in the first 8 chapters are
suitable for an introductory course
at undergraduate level and cover power series, Cauchy's theorem,
Laurent series, singularities and
meromorphic functions, the calculus of residues, conformal
mappings, and harmonic functions. The material in
the remaining 8 chapters is more advanced, with problems on
Schwartz reflection, analytic continuation,
Jensen's formula, thePhragmen-Lindeloef theorem, entire
functions, Weierstrass products and meromorphic
functions, the Gamma function and Zeta function. Also beneficial
for anyone interested in learning complex analysis.
Contents: Complex Numbers and Functions.- Power Series.- Cauchy's
Theorem, First Part.- Winding Numbers
and Cauchy's Theorem.- Applications of Cauchy's Integral
Formula.- Calculus of Residues.- Conformal Mappings.
- Harmonic Functions.- Schwarz Reflection.- The Riemann Mapping
Theorem.- Analytic Continuation Along Curves.
- Applications of the Maximum Modulus Principle and Jensen's
Formula.- Entire and Meromorphic Functions.
- Elliptic Functions.- The Gamma and Zeta Functions.- The Prime
Number Theorem.- Appendix.
Haller, G., Brown University, Providence, RI, USA
1999. Approx. 455 pp. 155 figs.
0-387-98697-9
Resonances are ubiquitous in dynamical systems with many degrees
of freedom. They have
the basic effect of introducing slow-fastbehavior in an
evolutionary system which, coupled with
instabilities, can result in highly irregular behavior. This book
gives a unified treatment of resonant
problems with special emphasis on the recently discovered
phenomenon of homoclinic jumping.
After a survey of the necessary background, a general finite
dimensional theory of homoclinic
jumping is developed and illustrated with examples. The main
mechanism of chaos near resonances
is discussed in both the dissipative and the Hamiltonian context.
Previously unpublished new results
on universal homoclinic bifurcations near resonances, as well as
on multi-pulse Silnikov manifolds are
described. The results areapplied to a variety of different
problems, which include applications from
beam oscillations, surface wave dynamics, nonlinear
optics,atmospheric science and fluid mechanics.
The theory is further used to study resonances in Hamiltonian
systems with applications to molecular
dynamics and rigid body motion. The final chapter contains an
infinite dimensional extension of the finite
dimensional theory,with application to the perturbed nonlinear
Schr?dinger equation and coupled NLS equations.
Contents: Concepts from dynamical systems.- Chaotic jumping along
resonances: Finite dimensional systems.
- Homoclinic Chaos due to Resonances in Physical Systems.-
Resonances in Hamiltonian systems.
- Chaotic jumping along resonances: Evolution equations.
- AElements of differential geometry.- B Some facts from
analysis.
Series: Applied Mathematical Sciences.VOL. 138
Robert, C.P., Universite de Rouen, Paris, France
Casella, G., Cornell University, Ithaca, NY, USA
1999. Approx. 530 pp.
0-387-98707-X
Until the advent of powerful and accessible computing methods,
the experimenter was often confronted
with a difficult choice. Either describe an accurate model of a
phenomenon, which would usually preclude
the computation of explicit answers, or choose a standardmodel
which would allow this computation,
but may not be a close representation of a realistic model. This
dilemma is present in many branches of
statistical applications, for example in electrical engineering,
aeronautics, biology, networks, and astronomy.
Markov chain Monte Carlo methods have been developed to provide
realistic models.
Contents: Introduction.- Random Variable Generation.- Monte Carlo
Integration.- Markov Chains.
- Monte Carlo Optimization.- The Metropolis-Hastings Algorithm.-
The Gibbs Sampler.- Diagnosing Convergence.
- Implementation in Missing Data Models.
Series: Springer Texts in Statistics.
Dekking, M., Delft University of Technology, The Netherlands
Vehel, J.L., INRIA, Le Chesnay, France
Lutton, E., INRIA, Le Chesnay, France
Tricot, C., Universite Blaise Pascal, Aubiere, France
(Eds.)
Theory and Applications in Engineering
1999. VIII, 345 pp.
1-85233-163-1
Owing to the rapid emergence and growth of techniques in the
engineering application of fractals,
it has become necessary to gather the most recent advances on a
regular basis. This book is a
continuation of the first volume - published in 1997 - but
contains interesting developments.
A major point is that mathematics has become more and more
involved in the definition and use of fractal
models. It seems that the time of the qualitative observation of
fractal phenomena has gone.
Now the main models are strongly based upon theoretical
arguments. Fractals: Theory and Applications
in Engineering is a multidisciplinary book which should interest
every scientist working in areas connected to fractals.
Contents: Locally Self Similar Processes.- Multifractal
Analysis.- Mathematical Aspects.
- Physical Sciences.- Chemical Engineering.-Image Compression.
Mutambara, A.G.O., Florida State University, FL, USA
1999. Approx. 500 pp.
0-8493-1898-X
Written to inspire and cultivate the ability to design and
analyze feasible control algorithms for
a wide range of engineering applications, this comprehensive text
covers the theoretical and practical
principles involved in the design and analysis of control
systems. From the development of the
mathematical models for dynamic systems, the author shows how
they are used to obtain system response and
facilitate control, then addresses advanced topics, such as
digital control systems, adaptive and
robust control, and nonlinear control systems. Control systems
cut across many fields of engineering-aerospace,
chemical, electrical, industrial and mechanical. Thefeedback
control theory presented in this book holds significant
practical interest because it provides insight into the
fundamental nature of control systems and how to engineer
effective controllers. By combining three courses of material
into one volume, Design and Analysis of Control
Systems becomes the perfect text for professionals as a
self-study or reference.
Keywords: dynamical systems, control systems
Contents: An Introduction to Control Systems.- Modeling of
Dynamic Systems.- Dynamic System Response.
- Characteristics of Feedback Control Systems.- Root Locus Design
Methods.- Frequency Response Design Methods.
- State Space Design Methods.-Digital Control Systems.- Adaptive
and Robust Control.
- Nonlinear Control Systems.- Appendices.
Series: International Series on Computational Intelligence.
Toro, E.F., University of Manchester, UK
A Practical Introduction
2nd ed. 1999. XIX, 624 pp. 90 figs.
3-540-65966-8
High resolution upwind and centered methods are today a mature
generation of computational
techniques applicable to a wide range ofengineering and
scientific disciplines, Computational
Fluid Dynamics (CFD) being the most prominent up to now. This
textbook gives a
comprehensive, coherent and practical presentation of this class
of techniques.
The book is designed to provide readers with an understanding of
the basic concepts,
some of the underlying theory, the ability to critically use the
current research papers on the
subject, and, above all, with the required information for the
practical implementation of the
methods. Applications include:compressible, steady, unsteady,
reactive, viscous, non-viscous
and free surface flows.
Keywords: fluid mechanics
Contents: The Equations of Fluid Dynamics.- Notions on Hyperbolic
Partial Differential Equations.
- Some Properties of the EulerEquations.- The Riemann Problem for
the Euler Equations.
- Notions on Numerical Methods.- The Method of Godunov for
Non-linear Systems.
- Random Choice and Related Methods.- Flux Vector Splitting
Methods.- Approximate
-State Riemann Solvers.- The HLL and HLLC Riemann Solvers.- The
Riemann Solver of Roe.
- The Riemann Solver of Osher.- High-Order and TVD Methods for
Scalar Equations.
- High-Order and TVD Schemes for Non-linear Systems.- Splitting
Schemes for PDEs with Source Terms.
- Methods for Multi-Dimensional PDEs.- Multidimensional Test
Problems.- Concluding Remarks.
Astesiano, E., University of Genova, Italy
Kreowski, H.-J., University of Bremen, Germany
Krieg-Br?ckner, B., University of Bremen, Germany
(Eds.)
1999. XII, 616 pp. 57 figs.
3-540-63772-9
This IFIP state-of-the-art report presents a collection of
fundamental high-quality contributions
on the algebraic foundations ofsystems specification. The
contributions cover and survey current
topics and recent advances, and address such subjects as: the
roleof formal specification, algebraic
preliminaries, partiality, institutions, specification semantics,
structuring, refinement, specification
languages, term rewriting, deduction and proof systems, object
specification, concurrency, and
the development process. The authors are well-known experts in
the field. The book is an outcome
of IFIP WG 1.3 (Foundations of Systems Specification) in
cooperation with Esprit Basic Research
WG COMPASS, and provides the foundations of the algebraic
specification language CASL designed
in the CoFI (Common Framework Initiative for Algebraic
Specification and Development) project.
It is aimed at system developers, researchers, and students.
Keywords: Albgebraic specification, Systems specification, Formal
methods
Series: IFIP State-of-the-Art Reports.
Bowen, J.P., University of Reading, UK
Hinchey, M.G., University of Nebraska, Omaha, NE, USA
1999. XIX, 701 pp.
3-540-76226-4
This volume provides the reader with a comprehensive introduction
to system specification
and design methods, with particular emphasis on structured and
formal methods, method integration,
concurrency and safety-critical systems. It contains both new
material by Michael Hinchey and
Jonathan Bowen, along with reprints of classic articles on
high-integrity systems which have never before
appeared together in a single volume. Among these classic
articles are contributions from such leading
names as Leslie Lamport, Nancy Leveson, and C.A.R. Hoare. Also
included is a Foreword by David Lorge Parnas.
High-Integrity System Specification and Design will provide
practitioners and researchers convenient access
to a range of essential essays - both classic and
state-of-the-art - in a single volume. It provides them with
details of specification and design approaches for this type of
system, an overview of the development
process, and evidence of how various classes of high- integrity
systems may be approached and developed successfully.
Contents: Specification and Design.- Structured Methods.- Formal
Methods.- Object-Orientation.
- Concurrent and Distributed Systems.- Real-Time and
Safety-Critical Systems.- Integrating Methods.
- Implementation.- CASE.- References.- Author Biographies.-
Index.
Series: Formal Approaches to Computing and Information Technology
(FACIT).
Davis, L.D., Newbury, MA, USA
De Jong, K., George Mason University, Fairfax, VA, USA
Vose, M.D., The University of Tennessee, Knoxville, TN, USA
Whitley, L.D., Colorado State University, Fort Collins, CO, USA
(Eds.)
1999. Approx. 310 pp. 77 figs.
0-387-98826-2
The IMA Workshop on Evolutionary Algorithms brought together many
of the top researchers in
the area of Evolutionary Computation for a week of intensive
interaction. The field of Evolutionary
Computation has developed significantly over the past 30 years
and today consists of a variety
of subfields such as genetic algorithms, evolution strategies,
evolutionary programming, and genetic programming,
each with its own algorithmic perspectives and goals. The
workshop did a great deal to clarify the current
state of the theory of Evolutionary Algorithms. The existing
theory might be characterized as deriving from
two principal approaches. There is a high level macro-theory that
looks at the processing of "building blocks"
and "schemata" that are shared by many good solutions
when searching a problem space. There is also
a low level micro-theory that builds exact Markov models of the
search process. It is sometimes hard for
researchers working at such different levels of abstraction to
interact. The IMA workshop allowed researchers
working at these different levels to present their points of view
and to move toward common ground.
There was real progress in communication between theorists and
practitioners in the evolutionary computation
field. Speakers presented applications across a wide range of
problem areas. In some of those cases, theoretically
motivated methods work quite well. In other cases, practitioners
used domain-based methods to
obtain better performance than could be achieved by using a
"pure" evolutionary algorithm. Individuals on both
sides went away with a better appreciation of the successes and
failures of current theory.
Contents: Foreword.- Preface.- Genetic algorithms as
multi-coordinators in large-scale optimization.
- Telecommunication network optimization with genetic algorithms:
A decade of practice.
- Using evolutionary algorithms to search for control parameters
in a nonlinear partial differential equation.
- Applying genetic algorithms to real-world problems. An overview
of evolutionary programming.
-A hierarchical genetic algorithm for system identification and
curve fitting with a supercomputer implementation
- Experiences with the PGAPack parallel genetic algorithm
library.
- The significance of the evaluation function in evolutionary
algorithms.
- Genetic algorithmoptimization of atomic clusters.- Search,
binary representations and counting optima.
- An investigation of GA performance results for different
cardinality alphabets.
- Genetic algorithms and the design of experiments
.- Efficient parameter optimization based on combination of
direct global and local search methods.
- What are genetic algorithms? A mathematical perspective.
- Survey of projects involving evolutionary algorithms sponsored
by the Electric Power Research Institute.
Series: The IMA Volumes in Mathematics and its Applications.VOL.
111
Dumitrescu, D., University of South Australia, Australia
Dumitrescu, A., University of South Australia, Australia
Lakhmi, C.J., University of South Australia, Australia
Lazzerini, B., University of Pisa, Italy
2000. Approx. 415 pp.
0-8493-0588-8
Evolutionary computing uses genetic algorithms to solve problems
through a learning process.
Each cycle of the application builds on information learned in
its previous run, therefore its problem-solving
"evolves". In this book, the authors describe the basic
principles of evolutionary computing, genetic algorithms,
programming, and applications. Detailed coverage of binary and
real encoding, including selection, crossover,
and mutation, is included in two chapters. Discussion of
evolution strategies covers strategy principles, mutations,
recombination, and optimization. Applications for evolutionary
computing are varied. Some of those covered
in this book include:decision support, training & design of
neural networks, pattern recognition, genetic
programming, and cellular automata.
Contents: Introduction.- Search, Optimization, Learning.- General
Principles of Evolutive Algorithms.
- Structure of a GeneticAlgorithm.- Binary Encoding.- Usual
Genetic Operators.- Real Encoding.
- Optimization of Real Valued Functions.- Schemata Theoryand
Connected Problems.
- Other Approaches concerning Genetic Algorithms.- Evolution
Strategies.- Evolutionary Programming.-
Applications.
Series: International Series on Computational Intelligence.
Girolami, M.A., University of Paisley, UK
Independent Component Analysis and Blind Source Separation
1999. VIII, 271 pp. 82 figs.
1-85233-066-X
This volume presents the theory and applications of
self-organising neural network models which
perform the Independent Component Analysis (ICA) transformation
and Blind Source Separation (BSS).
It is largely self-contained, covering the fundamental concepts
of information theory, higher order statistics
and information geometry. Neural models for instantaneous and
temporal BSS and their adaptation algorithms
are presented and studied in detail. There is also in-depth
coverage of the following application areas; noise
reduction, speech enhancement in noisy environments, image
enhancement, feature extraction for classification,
data analysis and visualisation, data mining and biomedical data
analysis. Self-Organising Neural Networks
will be of interest to postgraduate students and researchers in
Connectionist AI, Signal Processing and
Neural Networks, research and development workers, and technology
development engineers and research engineers.
Contents: Introduction.- Background to Blind Source Separation
(BSS).- Fourth Order Cumulant Based BSS.
- Self Organising NeuralNetworks.- The Non-Linear PCA Algorithm
and BSS.- Nonlinear Feature Extraction and BSS.
- Information Theoretic Nonlinear Feature Extraction and BSS.-
Temporal Anti-Hebbian Learning and Blind Separation
of Convolutive Mixtures of Sources.-Conclusions.- Bibliography.
Series: Perspectives in Neural Computing.
Hasegawa, M., University of Kyoto, Japan
A Categorical Semantics of let and letrec
1999. XII, 134 pp.
1-85233-145-3
DM 119,-
(Recommended Retail Price)
Models of Sharing Graphs presents a sound mathematical basis for
reasoning about models of
computation involving shared resources, including graph rewriting
systems, denotational semantics
and concurrency theory. An algebraic approach, based on the
language of category theory,
is taken throughout this work, which enables the author to
describe several aspects of the notion of
sharing in a systematic way. In particular, a novel account of
recursive computation created from
cyclic sharing is developed using this framework.
Contents: Introduction.- Sharing Graphs and Equational
Presentation.- Models of Acyclic Sharing Theroy.
- Higher Order Extension.-Relating Models.- Models of Cyclic
Sharing Theory.- Recursion from Cyclic Sharing.
- Action Calculi.- Conclusion.- Proofs.-Bibliography.- Index.
Series: Distinguished Dissertations.
Karhumski, J., University of Turku, Finland
Maurer, H., Graz University of Technology, Graz, Austria
Paun, G., Romanian Academy, Bucuresti, Romania
Rozenberg, G., Leiden University, The Netherland
(Eds.)
Contributions on Theoretical Computer Science in Honor of Arto
Salomaa
1999. XXX, 379 pp. 20 figs., 1 tab.
3-540-65984-6
Dedicated to Arto Salomaa, a towering figure of theoretical
computer science, on the occasion
of his 65th birthday, this book is a tribute to him on behalf of
the theoretical computer science community.
The contributions are written by internationally recognized
scientists and cover most of Salomaa's many
research areas. Due to its representative selection of classic
and cutting edge trends in theoretical computer science,
the book constitutes a comprehensive state-of-the-art survey.The
contributions are in such central areas as
automata theory, algorithms and complexity, and combinatorics of
words. But not only that, they take up new areas
such as regular sets and biocomputing. While some are survey
articles of fundamental topics, most are original research
papers.
Keywords: automata theory, formal language theory, combinatorics
of words, algorithmics
Zapranis, A., London, UK
Refenes, A.-P.N., London, UK
With Applications to Financial Econometrics
1999. IX, 190 pp.
1-85233-139-9
Neural networks have had considerable success in a variety of
disciplines including engineering, control,
and financial modelling. However a major weakness is the lack of
established procedures for testing
mis-specified models and the statistical significance of
thevarious parameters which have been estimated.
This is particularly important in the majority of financial
applications where the datagenerating processes
are dominantly stochastic and only partially deterministic. Based
on the latest, most significant developments in
estimation theory, model selection and the theory of
mis-specified models, this volume develops neural networks
into an advanced financial econometrics tool for non-parametric
modelling. It provides the theoretical framework
required, and displays the efficient use of neural networks for
modelling complex financial phenomena.
Unlike most other books in this area, this one treats neural
networks asstatistical devices for non-linear,
non-parametric regression analysis.
Contents: Introduction.- Neural Model Identification.- Review of
Current Practice in Neural Model Identification.
- Neural Model Selection: Minimum Prediction Risk Principle.-
Variable Significance Testing.- Model Adequacy Testing.
- Tactical Asset Allocation.-Implied Volatility Forecasting for
Options Pricing with Neural Nets.
- Appendix 1: Computing Network Derivatives.- Appendix
2:Generating Random Deviates.- Bibliography.
Series: Perspectives in Neural Computing.
Gonis, A., Livermore, CA, USA
Butler, W.H., Oak Ridge, TN, USA
1999. Approx. 350 pp. 44 figs.
0-387-98853-X
A description of general techniques for solving linear partial
differential equations by dividing space into
regions to which the equations are independently applied and then
assembling a global solution from the partial
ones. Intended for researchers and graduates involved in
calculations of the electronic structure of materials,
this will also be of interest to workers in quantum chemistry,
electron microscopy, acoustics, optics, and other fields.
The book begins with an intuitive approach to scattering theory
and then turns to partial waves and a formal
development of multiple scattering theory, with applications to
the solid state. The authors then present a variational
derivation of the formalism and an augmented version of the
theory, concluding with a discussion of the relativistic
formalism and a discussion of the Poisson equation. Appendices
discuss Green's functions, spherical functions,
Moller operators and the Contemporary Physics.
Remoissenet, M., University of Bourgogne, Dijon, France
Concepts and Experiments
3rd rev. and enlarged ed. 1999. XXIV, 328 pp. 150 figs., 1 in
color, 18 tabs.
3-540-65919-6
Written for an interdisciplinary readership of physicists,
engineers, and chemists, this book is a practical guide
to the fascinating world of solitons. These waves of large
amplitude propagate over long distances without dispersing
and therefore show one of the most striking aspects of
nonlinearity. The author addresses students, practitioners,
and researchers, approaching the subject from the standpoint of
applications in optics, hydrodynamics, and electrical
and chemical engineering. The book also encourages readers to
perform their own experiments. Since the printing
of the second edition of this book, there has been a large growth
in the literature on nonlinear waves and so has
the wide applicability of the subject to the physical, chemical
and biological sciences. This third edition has been
thoroughly revised. Some of the topics are brought up to date
with pertinent references. Furthermore, the book
now includes a completely new chapter on solitary waves in
diffuse systems.
Contents: Basic Concepts and the Discovery of Solitons.- Linear
Waves in Electrical Tansmission Lines.
- Solitons in Nonlinear Transmission Lines.- More on
Transmission-Line Solitons.- Hydrodynamic Solitons.
- Mechanical Solitons.- Fluxons in Josephson Transmission Lines.-
Solitons in Optical Fibers.
- The Soliton Concept in Lattice Dynamics.- A Look at Some
Remarkable MathematicalTechniques.- Diffusive Solitons.