Description: This
is a graduate text on turbulent flows, an important topic in fluid
dynamics. It is up-to-date, comprehensive, designed for teaching,
and is based on a course taught by the author at Cornell University
for a number of years. The book consists of two parts followed
by a number of appendices. Part I provides a general introduction
to turbulent flows, how they behave, how they can be described
quantitatively, and the fundamental physical processes involved.
Part II is concerned with different approaches for modelling or
simulating turbulent flows. The necessary mathematical techniques
are presented in the appendices. This book is primarily intended
as a graduate level text in turbulent flows for engineering students,
but it may also be valuable to students in applied mathematics,
physics, oceanography and atmospheric sciences, as well as researchers
and practising engineers.
Contents:Preface;
Nomenclature; Part I. Fundamentals: 1. Introduction; 2. The equations
of fluid motion; 3. Statistical description of turbulence; 4.
Mean flow equations; 5. Free shear flows; 6. The scales of turbulent
motion; 7. Wall flows; Part II. Modelling and Simulation: 8. Modelling
and simulation; 9. Direct numerical simulation; 10. Turbulent
viscosity models; 11. Reynolds-stress and related models; 12.
PDF models; 13. Large-eddy simulation; Part III. Appendices; Bibliography.
ISBN, Binding, :0521591252 Hardback
ISBN, Binding, :0521598869 Paperback
Approximate Publication date:16 June 2000
Main Subject Category:Nonlinear Science and Statistical Physics
LEVEL
graduate students, academic researchers,
professionals
BIBLIOGRAPHIC DETAILS 2000 247 x 174 mm 750pp 242 line
diagrams 4 half-tones 33 tables 384
exercises
DAVID LANDAU /University of Georgia
AND KURT BINDER / Johannes-Gutenberg-Universität Mainz
Description: This
book deals with all aspects of Monte Carlo simulation of complex
physical systems encountered in condensed-matter physics and statistical
mechanics as well as in related fields, for example polymer science
and lattice gauge theory. After briefly recalling essential background
in statistical mechanics and probability theory, the authors give
a succinct overview of simple sampling methods. The next several
chapters develop the importance sampling method. The concepts
behind the various simulation algorithms are explained. The fact
that simulations deal with small systems is emphasized. Other
chapters also provide introductions to quantum Monte Carlo methods,
aspects of simulations of growth phenomena and other systems far
from equilibrium, and the Monte Carlo Renormalization Group approach
to critical phenomena. Throughout the book there are many applications,
examples, and exercises to help the reader in a thorough study
of this book; furthermore, up-to-date references to more specialized
literature are also provided.
Contents:Preface;
1. Introduction; 2. Some necessary background; 3. Simple sampling
Monte Carlo methods; 4. The metropolis Monte Carlo algorithm for
lattice models; 5. More on importance sampling Monte Carlo methods
for lattice systems; 6. Off-lattice models; 7. Reweighting methods;
8. Quantum Monte Carlo methods; 9. Monte Carlo renormalization
group methods; 10. Non-equilibrium and irreversible processes;
11. Lattice gauge models: a brief introduction; 12. A brief review
of other methods of computer simulation; 13. Outlook; Appendix:
Listing of programs mentioned in the text.
ISBN, Binding, 0521653142 Hardback
ISBN, Binding, :0521653665 Paperback
Approximate Publication date:1 June 2000
Main Subject Category:Physics (general)
LEVEL graduate students, academic researchers
BIBLIOGRAPHIC DETAILS 2000 247 x 174 mm 350pp 112 line
diagrams
Description: The
applications of topological techniques for understanding molecular
structures have become increasingly important over the past thirty
years. In this topology text, the reader will learn about knot
theory, 3-dimensional manifolds, and the topology of embedded
graphs, while learning the role these play in understanding molecular
structures. Most of the results that are described in the text
are motivated by questions asked by chemists or molecular biologists,
though the results themselves often go beyond answering the original
question asked. There is no specific mathematical or chemical
prerequisite; all the relevant background is provided. The text
is enhanced by nearly 200 illustrations and more than 100 exercises.
Reading this fascinating book, undergraduate mathematics students
can escape the world of pure abstract theory and enter that of
real molecules, while chemists and biologists will find simple,
clear but rigorous definitions of mathematical concepts they handle
intuitively in their work.
Contents:1.
Stereochemical topology; 2. Detecting chirality; 3. Chiral moebius
ladders and related molecular graphs; 4; Different types of chirality
and achirality; 5. Embeddings of complete graphs in 3-space; 6.
Rigid and non-rigid symmetries of graphs in 3-space; 7. Topology
of DNA.
ISBN, Binding, :0521662540 Hardback
ISBN, Binding, :0521664829 Paperback
Approximate Publication date:1 June 2000
Main Subject Category:Geometry, topology
LEVEL /undergraduate students, academic researchers
BIBLIOGRAPHIC DETAILS /2000 234 x 156 mm 208pp 180 line
diagrams 100 exercises
Description: The
Business of e-Commerce provides a guide to
the types of business
that companies can conduct over the Web,
and it explains how they
can go about building systems to support
these initiatives. Business
and technology decision-makers will learn
all they need to know
about the entire field of e-commerce. Paul
May combines his experience
as a consultant to blue chip companies with
his experience with
startups and presents the best of what the
two cultures have to
offer. He provides a generic model for understanding
e-commerce
opportunities, and he explores key application
areas that readers
can exploit in the real world. The book gathers
together all of
the relevant technologies and makes them
accessible to the reader
by explaining each of the key technical topics
and issues. This
book empowers the decision-maker to make
better use of the opportunities
of e-commerce.
Contents:1.
A context for electronic commerce; 2. A business model for electronic
commerce; 3. Pathfinder application areas; 4. An electronic commerce
technology primer; 5. Architectures for electronic commerce; 6.
Issues in electronic commerce.
ISBN, Binding,:0521776988 Paperback
Approximate Publication date:24 January 2000
Main Subject Category:Object Technology
LEVEL /professionals, undergraduate students
BIBLIOGRAPHIC DETAILS /2000 109 x 179 mm 300pp
EDITED BY TAN LEI / Université de Cergy-Pontoise
Description: The
Mandelbrot set is a fractal shape that classifies the dynamics
of quadratic polynomials. It has a remarkably rich geometric and
combinatorial structure. This volume provides a systematic exposition
of current knowledge about the Mandelbrot set and presents the
latest research in complex dynamics. Topics discussed include
the universality and the local connectivity of the Mandelbrot
set, parabolic bifurcations, critical circle homeomorphisms, absolutely
continuous invariant measures and matings of polynomials, along
with the geometry, dimension and local connectivity of Julia sets.
In addition to presenting new work, this collection documents
important results hitherto unpublished or difficult to find in
the literature. This book will be of interest to graduate students
in mathematics, physics and mathematical biology, as well as researchers
in dynamical systems and Kleinian groups.
Contents:Introduction
L.Tan; Preface J. Hubbard; 1. The Mandelbrot set is universal
C. McMullen; 2. Baby Mandelbrot sets are born in cauliflowers
A. Douady, X. Buff, R. Devaney and P. Sentenac; 3. Modulation
dans l'ensemble de Mandelbrot P. Haïssinsky; 4. Local connectivity
of Julia sets: expository lectures J. Milnor; 5. Holomorphic motions
and puzzles (following M. Shishikura) P. Roesch; 6. Local properties
of the Mandelbrot set at parabolic points L.Tan; 7. Convergence
of rational rays in parameter spaces C. Petersen and G. Ryd; 8.
Bounded recurrence of critical points and Jakobson's Theorem S.
Luzzatto; 9. The Herman-Swiatek theorems with applications C.
Petersen; 10. Perturbations d'une fonction linéarisable
H. Jellouli; 11. Indice holomorphe et multiplicateur H. Jellouli;
12. An alternative proof of Mañé's theorem on non-expanding
Julia sets M. Shishikura and L.Tan; 13. Geometry and dimension
of Julia sets Y. -C. Yin; 14. On a theorem of Mary Rees for the
matings of polynomials M. Shishikura; 15. Le théorème
d'intégrabilité des structures presque complexes
A. Douady and X. Buff; 16. Bifurcation of parabolic fixed points
M. Shishikura.
ISBN, Binding, 0521774764 Paperback
Approximate Publication date:12 February 2000
Main Subject Category:Mathematics - analysis, probability
Series:London Mathematical Society Lecture
Note Series, 274
LEVEL graduate students, academic researchers
BIBLIOGRAPHIC DETAILS 2000 228 x 152 mm 274pp 69 line
diagrams
Description: Roger Penrose's original and
provocative ideas about the large-scale physics
of the Universe, the small-scale world of
quantum physics and
the physics of the mind have been the subject
of controversy and discussion. These ideas
were proposed in his best-selling books The
Emperor's New
Mind and Shadows of the Mind. In this book,
he summarises and updates his current thinking
in these complex areas to present a masterful
summary of
those areas of physics in which he feels
there are major unresolved problems. Through
this, he introduces radically new concepts
which he believes will be
fruitful in understanding the workings of
the brain and the nature of the human mind.
These ideas are challenged by three distinguished
experts from
different backgrounds: Abner Shimony and
Nancy Cartwright as philosophers of science
and Stephen Hawking as a theoretical physicist
and cosmologist.
Roger Penrose concludes with a response to
their thought-provoking criticisms.
Contents:Foreword Malcolm Longair; 1. Space-time
and cosmology Roger Penrose; 2. The mysteries
of quantum physics Roger Penrose; 3. Physics
and the
mind Roger Penrose; 4. On mentality, quantum
mechanics and the actualization of potentialities
Abner Shimony; 5. Why physics? Nancy Cartwright;
6. The objections of an unashamed reductionist Stephen
Hawking; 7. Response Roger Penrose; Appendix
I: Goodstein's theorm and mathematical thinking;
Appendix II: Experiments to test gravitationally
induced state reduction.
ISBN, Binding, 0521785723 Paperback
Approximate Publication date:29 March 2000
Main Subject Category:Physics (general)
LEVEL / general reader
BIBLIOGRAPHIC DETAILS /2000 216 x 138 mm
220pp 68 line diagrams 4 half-tones 3 tables
David Mumford, Caroline Series, David Wright
Indra's Pearls
The Vision of Felix Klein
タイトルが (An Atlas of Kleinian Groups) よりかわりました。
Description
Felix Klein, one of the great nineteenth-century
geometers, rediscovered in mathematics an
idea from Buddhist mythology: the heaven
of Indra contained a net of pearls, each
of which was reflected in its neighbour,
so that the whole Universe was mirrored in
each pearl. Klein studied infinitely repeated
reflections and was led to forms with multiple
co-existing symmetries. For a century these
ideas barely existed outside the imagination
of mathematicians. However in the 1980s the
authors embarked on the first computer exploration
of Klein’s vision, and in doing so found
many further extraordinary images. Join the
authors on the path from basic mathematical
ideas to the simple algorithms that create
the delicate fractal filigrees, most of which
have never appeared in print before. Beginners
can follow the step-by-step instructions
for writing programs that generate the images.
Others can see how the images relate to ideas
at the forefront of research.
Chapter Contents
1. The language of symmetry; 2. A delightful
fiction; 3. Double spirals and Mobius maps;
4. The Schottky dance; 5. Fractal dust and
infinite words; 6. Indra’s necklace; 7.
The glowing gasket; 8. Playing with parameters;
9. Accidents will happen; 10. Between the
cracks; 11. Crossing boundaries; 12. Epilogue;
Index; Road map.
ISBN: 0-521-35253-3
Binding: Hardback
Size: 254 x 202 mm
Pages: 416
Weight: 1.197kg
Figures: 250 half-tones 250 colour plates
Published: 25 April 2002