ISBN 978-3-03719-022-7
January 2007, 4500 pages, hardcover, 17.0 cm x 24.0 cm.
Note: The ICM2006 Proceedings are available only as a set,
individual volumes cannot be ordered. While Volumes II and III
have appeared, Volume I will be published approximately in
January 2007. Orders can be entered anytime, but the set will be
delivered as a whole upon publication of Volume I.
The International Congress of Mathematicians (ICM) is held every
four years. It is a major scientific event, bringing together
mathematicians from all over the world, and demonstrating the
vital role that mathematics play in our society. In particular,
the Fields Medals are awarded to recognize outstanding
mathematical achievement. At the same time, the International
Mathematical Union awards the Nevanlinna Prize for work in the
field of theoretical computer science. The proceedings of ICM
2006, published as a three-volume set, present an overview of
current research in all areas of mathematics and provide a
permanent record the congress.
The first volume features the works of Fields Medallists and the
Nevanlinna Prize winner, the plenary lectures, and the speeches
and pictures of the opening and closing ceremonies and award
sessions. The other two volumes present the invited lectures,
arranged according to their mathematical subject.
Contents of Volume II
Contents of Volume III
Text and Readings in Mathematics/ 40
September 2006
226 pages
Hard cover
ISBN 81-85931-69-0
This book is an introduction to applications of the theory of
stochastic processes ? more specifically Markov chain theory ? in
population dynamics, genetics and epidemics. A prior exposure to
basic probability theory should be helpful, but by no means
essential. The book includes a quick review of probability that
starts from elementary combinatorial probability and ends with
some basic properties of diffusions, including along the way, a
fairly extensive account of martingales and Markov chains, mostly
with proofs. This is done fairly rigorously without using measure
theoretic tools. In continuation of the effort to keep the
prerequisites at the bare minimum, all the basic genetics the
reader needs to know is included. Yet, sophisticated material on
Wright-Fisher and Moran models of genetics including diffusion
approximations is presented. The material on epidemic models
includes several important threshold theorems with carefully
presented interpretation and complete proofs.
Although this book is primarily intended for use as a textbook
for a course on Applied Stochastic Processes, it can also be used
by researchers in the fields of genetics or epidemics for
learning about applications of probability in their respective
areas.
Contents
0. Probability Tools And Techniques
1. Branching Processes
2. Basic Mathematical Genetics
3..Markov Models In Genetics
4. Models In Epidemics
ISBN: 0-471-76089-7
Hardcover
448 pages
July 2006
Discover how to optimize business strategies from both
qualitative and quantitative points of view
Operational Risk: Modeling Analytics is organized around the
principle that the analysis of operational risk consists, in
part, of the collection of data and the building of mathematical
models to describe risk. This book is designed to provide risk
analysts with a framework of the mathematical models and methods
used in the measurement and modeling of operational risk in both
the banking and insurance sectors.
Beginning with a foundation for operational risk modeling and a
focus on the modeling process, the book flows logically to
discussion of probabilistic tools for operational risk modeling
and statistical methods for calibrating models of operational
risk. Exercises are included in chapters involving numerical
computations for students' practice and reinforcement of concepts.
Written by Harry Panjer, one of the foremost authorities in the
world on risk modeling and its effects in business management,
this is the first comprehensive book dedicated to the
quantitative assessment of operational risk using the tools of
probability, statistics, and actuarial science.
In addition to providing great detail of the many probabilistic
and statistical methods used in operational risk, this book
features:
* Ample exercises to further elucidate the concepts in the text
* Definitive coverage of distribution functions and related
concepts
* Models for the size of losses
* Models for frequency of loss
* Aggregate loss modeling
* Extreme value modeling
* Dependency modeling using copulas
* Statistical methods in model selection and calibration
Assuming no previous expertise in either operational risk
terminology or in mathematical statistics, the text is designed
for beginning graduate-level courses on risk and operational
management or enterprise risk management. This book is also
useful as a reference for practitioners in both enterprise risk
management and risk and operational management.
Table of Contents
ISBN: 0-470-85494-4 Hardcover
ISBN: 0-470-85495-2 Paperback
320 pages
February 2007
Description
Simulation and Monte Carlo methods are increasingly becoming more
important to many areas of application, particularly finance.
There is a real need for a textbook that covers all aspects of
simulation, and includes recent applications, such as the pricing
of financial derivates and MCMC. This book provides a lucid and
comprehensive introduction to simulation methods, and features
examples and applications using Maple. Maple is widely used at
undergraduate mathematics level in the UK, US and Europe. It is
readily available to students, researchers and practitioners, and
the code is easily transferrable into other languages. The
inclusion of Maple code is an appealing feature, as it enables
the reader to apply the methods to their own work, and learn the
theory using a hands-on approach. The book will be supported by a
Website featuring all the Maple code and additional teaching
material.
Table of Contents
(Hardback)ISBN-10: 0-19-920388-1 ISBN-13: 978-0-19-920388-8
(Paperback)ISBN-10: 0-19-920389-X ISBN-13: 978-0-19-920389-5
Estimated publication date: October 2006
352 pages, 139 b+w line drawings + 32 halftones, 246x189 mm
Reviews
'"Medical imaging works with relatively poor images of
complex objects that show subtle distinctions between normal and
diseased, yet systems are required to work correctly almost every
time. The only way that this can possibly be achieved is for
systems to incorporate models: of physiology, and of image
formation. For years, I have wanted my students to have available
a concise yet readable and authoritative introduction to the
basic physics of image formation. Wade Allison's book admirably
addresses that need. Sir Michael Brady, Department of Engineering
Science, University of Oxford, UK' -
''Of high quality in terms of its level of discussion and the
care and sequencing with which new concepts are introduced. There
is a need for such a book.' - David Saxon, Faculty of Physical
Sciences, University of Glasgow' -
Description
A unique book that explains the fundamental physics behind modern
probing and imaging.
Shows how physics can benefit society by reducing the fear in
people's lives and raises significant questions about our
attitude to safety.
A book for every physicist who has ever needed to answer the
question: 'What is physics for?
Rises above individual specialised fields to give an overview of
benefits that affect everyone's lives.
Provides a basis for university courses of general interest to
final year undergraduate students.
Gives the guidance which enables a wider study of applications,
for instance via the internet, to be understood in context.
Physics has reduced fear and increased safety for society,
largely by extending the power to see. The methods used are
magnetic resonance, ionising radiation and sound, with their
extensions. This textbook expounds the fundamental physics of
these. It follows how they are applied by modern technology to
"seeing" in clinical medicine including therapy and in
other spheres of human activity such as archaeology, geophysics,
security and navigation. By taking a broad view over the whole
field, the book encourages comparisons, underlines the importance
of public education and reaches fresh conclusions of some
political importance concerning safety. This textbook has
developed from a course given to third year students at Oxford
and is written so that it can be used coherently as a basis for
shorter courses by omitting certain chapters.
Readership: Undergraduates and graduate students in physics.
Professional physicists. Engineers, archaeologists, geologists,
forensic physicists and medics with a strong background in
physics. Those interested in physics and society and physics and
public policy.
Contents
1. Physics for security
2. Magnetism and magnetic resonance
3. Interactions of ionising radiation
4. Mechanical waves and properties of matter
5. Information and data analysis
6. Analysis and damage by irradiation
7. Imaging with magnetic resonance
8. Medical imaging and therapy with ionising radiation
9. Ultrasound for imaging and therapy
10. Forward look and conclusions
Appendices: Conventions, nomenclature and units. Glossary of
terms and abbreviations. Hints and answers to selected questions.
Copyright: 2007
Format: Cloth; 576 pp
ISBN-10: 0132306379
ISBN-13: 9780132306379
Description
For graduate-level courses in Statistical Inference or
Theoretical Statistics in departments of Statistics, Bio-Statistics,
Economics, Computer Science, and Mathematics.
An updated printing! In response to feedback from faculty and
students, some sections within the book have been rewritten.
Also, a number of corrections have been made, further improving
the accuracy of this outstanding textbook.
This updated classic, time-honored introduction to the theory and
practice of statistics modeling and inference reflects the
changing focus of contemporary Statistics. Coverage begins with
the more general nonparametric point of view and then looks at
parametric models as submodels of the nonparametric ones which
can be described smoothly by Euclidean parameters. Although some
computational issues are discussed, this is very much a book on
theory. It relates theory to conceptual and technical issues
encountered in practice, viewing theory as suggestive for
practice, not prescriptive. It shows readers how assumptions
which lead to neat theory may be unrealistic in practice.
KEY TOPICS: Statistical Models, Goals, and Performance Criteria.
Methods of Estimation. Measures of Performance, Notions of
Optimality, and Construction of Optimal Procedures in Simple
Situations. Testing Statistical Hypotheses: Basic Theory.
Asymptotic Approximations. Multiparameter Estimation, Testing and
Confidence Regions. A Review of Basic Probability Theory. More
Advanced Topics in Analysis and Probability. Matrix Algebra.
Table of Contents
New To This Edition