Publication is planned for January 2005
300 pages
Hardback | ISBN: 0-521-83195-4 |
Price is not yet set
In 2002, an introductory workshop was held at the Mathematical
Sciences Research Institute in Berkeley to survey some of the
many new directions of the commutative algebra field. Six
principal speakers each gave three lectures, accompanied by a
help session, describing the interaction of commutative algebra
with other areas of mathematics for a broad audience of graduate
students and researchers. This book is based on those lectures,
together with papers from contributing researchers. David Benson
and Srikanth Iyengar present an introduction to the uses and
concepts of commutative algebra in the cohomology of groups. Mark
Haiman considers the commutative algebra of n points in the plane.
Ezra Miller presents an introduction to the Hilbert scheme of
points to complement Professor Haiman's paper. David Eisenbud and
Jessica Sidman give an introduction to the geometry of syzygies,
addressing the basic question of relating the geometry of a
projective variety with an embedding into projective space to the
minimal free resolution of its coordinate ring over the
polynomial ring of ambient projective space. Melvin Hochster
presents an introduction to the theory of tight closure. Graham
Leuschke adds a supporting paper on examples of tight closure and
how to compute it. Rob Lazarsfeld and Manuel Blickle discuss the
theory of multiplier ideals and how they can be used in
commutative algebra. Bernard Teissier presents ideas related to
resolution of singularities, complemented by Ana Bravo’s paper
on canonical subalgebra bases.
Contributors
David Benson, Mark Haiman, David Eisenbud, Melvin Hochster, Rob
Lazarsfeld, Bernard Teissier, Manuel Blickle, Ana Bravo, Srikanth
Iyengar, Graham Leuschke, Ezra Miller, Jessica Sidman
Publication is planned for March 2005
300 pages 17 line diagrams 3 half-tones 123 exercises 20 figures
29 worked examples
Paperback | ISBN: 0-521-60369-2 |
Hardback | ISBN: 0-521-84274-3 |
Drawing from a wide variety of mathematical subjects, this book
aims to show how mathematics is realised in practice in the
everyday world. Dozens of applications are used to show that
applied mathematics is much more than a series of academic
calculations. Mathematical topics covered include distributions,
ordinary and partial differential equations, and asymptotic
methods as well as basics of modelling. The range of applications
is similarly varied, from the modelling of hair to piano tuning,
egg incubation and traffic flow. The style is informal but not
superficial. In addition, the text is supplemented by a large
number of exercises and sideline discussions, assisting the
reader’s grasp of the material. Used either in the classroom by
upper-undergraduate students, or as extra reading for any applied
mathematician, this book illustrates how the reader’s knowledge
can be used to describe the world around them.
Contents
Part I. Modelling Techniques: 1. The basics of modelling; 2.
Units, dimensions and dimensional analysis; 3. Non-dimensionalisation;
4. Case studies: hair modelling and cable laying; 5. Case study:
the thermistor (1); 6. Case study: electrostatic painting (1);
Part II. Mathematical Techniques: 7. Partial differential
equations; 8. Case study: traffic modelling; 9. Distributions; 10.
Theory of distributions; 11. Case study: the pantograph; Part III.
Asymptotic techniques: 12. Asymptotic expansions; 13. Regular
perturbation expansions; 14. Case study: electrostatic painting (2);
15. Case study: piano tuning; 16. Boundary layers; 17. Case study:
the thermistor (2); 18. ‘Lubrication theory’ analysis; 19.
Case study: continuous casting of steel; 20. Lubrication theory
for fluids; 21. Case study: eggs; 22. Methods for oscillators; 23.
Ray theory and other ‘exponential’ approaches.
Publication is planned for April 2005
600 pages 41 line diagrams 9 half-tones 53 figures 3 colour
figures
Hardback | ISBN: 0-521-84802-4 |
A series of important applications of combinatorics on words has
emerged with the development of computerized text and string
processing. The aim of this volume, the third in a trilogy, is to
present a unified treatment of some of the major fields of
applications. After an introduction that sets the scene and
gathers together the basic facts, there follow chapters in which
applications are considered in detail. The areas covered include
core algorithms for text processing, natural language processing,
speech processing, bioinformatics, and areas of applied
mathematics such as combinatorial enumeration and fractal
analysis. No special prerequisites are needed, and no familiarity
with the application areas or with the material covered by the
previous volumes is required. The breadth of application,
combined with the inclusion of problems and algorithms and a
complete bibliography will make this book ideal for graduate
students and professionals in mathematics, computer science,
biology and linguistics.
Contents
1. Algorithms on words J. Berstel and D. Perrin; 2. Structures
for indexes M. Crochemore; 3. Symbolic natural language
processing E. Laporte; 4. Statistical natural language processing
M. Mohri; 5. Inference of network expressions N. Pisanti and M.
Sagot; 6. Statistics on words with applications to biological
sequences G. Reinbert, Sophie Schbath and M. Waterman; 7.
Analytic approach to pattern matching P. Jacquet and W.
Szpankowski; 8. Periodic structures on words D. Poulalhon and G.
Schaeffer; 9. Counting, coding and sampling with words R.
Kolpakov and G. Koucherov; 10. Words in number theory J. Allouche
and V. Berthe; References; General index.
ISBN: 1-58488-431-2
Publication Date: 7/27/2004
Number of Pages: 416
" Collects state-of-the-art advances and new developments in
skew-elliptical distribution into a single volume
" Presents peer-reviewed chapters contributed by a stellar
panel of top researchers in the field
" Offers the broad, multiple perspectives of both Bayesians
and frequentists
" Balances an in-depth treatment of - theory with case
studies and applications from diverse areas including
biostatistics, finance, oceanography, environmental science, and
engineering
In recent years, research has generated important advances in
theory and applications of skew-elliptical distributions. This is
an exciting and fast-growing field of research that brings
together both frequentist and Bayesian statisticians. Along with
an explosion of interest in this new area of research has come a
virtually unlimited potential for applications.
This book reviews the state-of-the-art advances in skew-elliptical
distributions and provides many new developments in a single
volume, collecting theoretical results and applications
previously scattered throughout the literature. The main goal of
this research area is to develop flexible parametric classes of
distributions beyond the classical normal distribution. The book
is divided into two parts. The first part discusses theory and
inference for skew-elliptical distribution. The second part
presents applications and case studies in areas such as
economics, finance, oceanography, climatology, environmetrics,
engineering, image processing, astronomy, and biomedical science.
Each chapter is authored by leading specialists in key areas of
research. With a fine balance between theory and application,
this book is intended for a large readership, including
statisticians and practitioners from other fields. With
exceptional cohesion for a contributed work, Skew-Elliptical
Distributions and Their Applications offers a unique opportunity
to explore this exciting new field, understand its most recent
advances, and apply them to your own area of research and
applications.
312 p., 13 text boxes, 55 figures, 20 tables. 5-1/2 x 8-1/2
2004
Cloth 0-226-52630-5 Fall 2004
Paper 0-226-52631-3 Fall 2004
People who work well with numbers are often stymied by how to
write about them. Those who don't often work with numbers have an
even tougher time trying to put them into words. For instance,
scientists and policy analysts learn to calculate and interpret
numbers, but not how to explain them to a general audience.
Students learn about gathering data and using statistical
techniques, but not how to write about their results. And readers
struggling to make sense of numerical information are often left
confused by poor explanations. Many books elucidate the art of
writing, but books on writing about numbers are nonexistent.
Until now. Here, Jane Miller, an experienced research methods and
statistics teacher, gives writers the assistance they need. The
Chicago Guide to Writing about Numbers helps bridge the gap
between good quantitative analysis and good expository writing.
Field-tested with students and professionals alike, this book
shows writers how to think about numbers during the writing
process.
Miller begins with twelve principles that lay the foundation for
good writing about numbers. Conveyed with real-world examples,
these principles help writers assess and evaluate the best
strategy for representing numbers. She next discusses the
fundamental tools for presenting numbers--tables, charts,
examples, and analogies--and shows how to use these tools within
the framework of the twelve principles to organize and write a
complete paper.
By providing basic guidelines for successfully using numbers in
prose, The Chicago Guide to Writing about Numbers will help
writers of all kinds clearly and effectively tell a story with
numbers as evidence. Readers and writers everywhere will be
grateful for this much-needed mentor.
Subjects:
COMPUTER SCIENCE
ECONOMICS AND BUSINESS: Economics--Econometrics and Statistics
POLITICAL SCIENCE: Public Policy
REFERENCE AND BIBLIOGRAPHY
SOCIOLOGY: General Sociology