(Hardback)
0-19-852831-0
Publication date: December 2003
Clarendon Press 235 pages, none, 234mm x
156mm
Series: Oxford Graduate Texts in Mathematics
Excellent coverage of the algebraic groups
at graduate level
Ideal for year-long M.Math courses
Contains elegant worked examples and instructive
exercises as
well as bibliographical and historical remarks
Description
An accessible text introducing algebraic
groups at advanced
undergraduate and early graduate level, this
book covers the
conjugacy of Borel subgroups and maximal
tori, the theory of
algebraic groups with a BN-pair, Frobenius
maps on affine
varieties and algebraic groups, zeta functions
and Lefschetz
numbers for varieties over finite fields.
The text contains
numerous examples and proofs along with exercises
and hints.
Readership: Graduates and researchers in
pure mathematics seeking
a comprehensive background in algebraic geometry;
university
teaching staff; advanced undergraduates in
third and fourth year
of university studies.
Contents
1 Algebraic sets and algebraic groups
2 Affine varieties and finite morphisms
3 Algebraic representations and Borel subgroups
4 Frobenius maps and finite groups of Lie
type
Bibliography
Index
Classics in Applied Mathematics 43
In order to emphasize the relationships and
cohesion between
analytical and numerical techniques, Ordinary
Differential
Equations in Theory and Practice presents
a comprehensive and
integrated treatment of both aspects in combination
with the
modeling of relevant problem classes. This
text is uniquely
geared to provide enough insight into qualitative
aspects of
ordinary differential equations (ODEs) to
offer a thorough
account of quantitative methods for approximating
solutions
numerically, and to acquaint the reader with
mathematical
modeling, where such ODEs often play a significant
role.
Although originally published in 1995, the
text remains timely
and useful to a wide audience. It provides
a thorough
introduction to ODEs, since it treats not
only standard aspects
such as existence, uniqueness, stability,
one-step methods,
multistep methods, and singular perturbations,
but also chaotic
systems, differential-algebraic systems,
and boundary value
problems. The authors aim to show the use
of ODEs in real life
problems, so there is an extended chapter
in which not only the
general concepts of mathematical modeling
but also illustrative
examples from various fields are presented.
A chapter on
classical mechanics makes the book self-contained.
Audience
The book is intended for use as a textbook
for both undergraduate
and graduate courses, and it can also serve
as a reference for
students and researchers alike.
Contents
Preface to the Classics Edition; Preface;
Chapter 1:
Introduction; Chapter 2: Existence, Uniqueness,
and Dependence on
Parameters; Chapter 3: Numerical Analysis
of One-Step Methods;
Chapter 4: Linear Systems; Chapter 5: Stability;
Chapter 6:
Chaotic Systems; Chapter 7: Numerical Analysis
of Multistep
Methods; Chapter 8: Singular Perturbations
and Stiff Differential
Equations; Chapter 9: Differential-Algebraic
Equations; Chapter
10: Boundary Value Problems; Chapter 11:
Concepts from Classical
Mechanics; Chapter 12: Mathematical Modelling;
Appendices;
References; Index.
2002 / xvii + 405 pages / Softcover / ISBN
0-89871-531-8
Classics in Applied Mathematics 44
Multiple Decision Procedures: Theory and
Methodology of Selecting
and Ranking Populations provides an encyclopedic
coverage of the
literature in the area of ranking and selection
procedures,
summarizing and surveying in a unified manner
a majority of more
than 600 main references in the bibliography.
It also deals with
related problems, such as the estimation
of unknown ordered
parameters. A separate chapter is devoted
to information about
several tables available in the literature
for carrying out
various specific procedures. Examples are
given in another
chapter illustrating applications of these
procedures in various
practical contexts. Although several books
have appeared to date
in this area, many of them deal with specific
aspects of the
field and a limited number of topics. This
book contains
substantial material not discussed in other
books.
Audience
This book can serve as a text for a graduate
topics course in
ranking and selection (as it has done at
Purdue University for
more than 30 years). It will also serve as
a valuable reference
for researchers and practitioners in various
fields, such as
agriculture, industry, engineering, and behavioral
sciences.
Contents
Preface to the Classics Edition; Preface;
List of Abbreviations
and Symbols; Chapter 1: Introduction; Part
I: Indifference Zone
Formulation. Chapter 2. Ranking of Normal
Populations; Chapter 3:
Some Optimum Properties of Fixed Subset Size
Selection Rules;
Chapter 4: Ranking and Selection Problems
for Discrete
Distributions; Chapter 5: Selection from
Univariate Populations,
Optimum Sampling, and Estimation of Probability
of Correct
Selection; Chapter 6: Sequential Selection
Procedures; Chapter 7:
Selection from Multivariate Populations;
Chapter 8: Nonparametric
Selection Procedures; Chapter 9: Fixed-Size
Subset Selection: A
Generalized Goal and Other Modifications;
Chapter 10: Bayesian
Selection and Ranking Procedures; Part II:
Subset Selection
Formulation. Chapter 11: Subset Selection:
General Theory;
Chapter 12: Selection from Univariate Continuous
Populations;
Chapter 13: Selection from Discrete Populations;
Chapter 14:
Selection from Multivariate Normal Populations;
Chapter 15:
Nonparametric Procedures; Chapter 16: Selection
from Restricted
Families of Probability Distributions; Chapter
17: Sequential
Procedures; Chapter 18: Bayes, Empirical
Bayes, and ?-Minimax
Procedures; Chapter 19: Some Modified Formulations
and Other
Related Problems; Part III: Comparison with
a Control,
Estimation, and Related Topics. Chapter 20:
Comparison of Several
Populations with a Standard or a Control;
Chapter 21: Estimation
of Ordered Parameters; Chapter 22: General
Theory of Some
Multiple-Decision Problems and Some Miscellaneous
Topics; Chapter
23: Guide to Tables; Chapter 24: Illustrative
Examples;
Bibliography; Related References; Monographs,
Books and Special
Issues of Journals Devoted Fully or Partially
to Ranking and
Selection Problems; Author Index; Subject
Index.
2002 / xxxii + 573 pages / Softcover / ISBN
0-89871-532-6
Classics in Applied Mathematiacs 42
When M. Vidyasagar wrote the first edition
of Nonlinear Systems
Analysis, most control theorists considered
the subject of
nonlinear systems a mystery. Since then,
advances in the
application of differential geometric methods
to nonlinear
analysis have matured to a stage where every
control theorist
needs to possess knowledge of the basic techniques
because
virtually all physical systems are nonlinear
in nature.
The second edition, now republished in SIAM's
Classics in Applied
Mathematics series, provides a rigorous mathematical
analysis of
the behavior of nonlinear control systems
under a variety of
situations. It develops nonlinear generalizations
of a large
number of techniques and methods widely used
in linear control
theory. The book contains three extensive
chapters devoted to the
key topics of Lyapunov stability, input-output
stability, and the
treatment of differential geometric control
theory. In addition,
it includes valuable reference material in
these chapters that is
unavailable elsewhere. The text also features
a large number of
problems that allow readers to test their
understanding of the
subject matter and self-contained sections
and chapters that
allow readers to focus easily on a particular
topic.
Audience
This text is designed for use at the graduate
level in the area
of nonlinear systems and as a resource for
professional
researchers. The subject of nonlinear systems
continues to
interest not only theorists but also practitioners
working in
areas such as robotics, spacecraft control,
motor control, and
power systems. This book is sure to enlighten
readers on this
timeless and ever-fascinating subject.
Contents
Preface to the Classics Edition; Preface;
Note to the Reader;
Chapter 1: Introduction; Chapter 2: Nonlinear
Differential
Equations; Chapter 3: Second-Order Systems;
Chapter 4:
Approximate Analysis Methods; Chapter 5:
Lyapunov Stability;
Chapter 6: Input-Output Stability; Chapter
7: Differential
Geometric Methods; Appendix A: Prevalence
of Differential
Equations with Unique Solutions; Appendix
B: Proof of the Kalman-Yacubovitch
Lemma; Appendix C: Proof of the Frobenius
Theorem; References;
Index.
2002 / xviii + 498 pages / Softcover / ISBN
0-89871-526-1
Conference held May 2003, San Francisco,
California.
The Third SIAM International Conference on
Data Mining continued
the tradition of providing an open forum
for the presentation,
discussion, and development of innovative
algorithms, software,
and theories for data mining applications
and data intensive
computation. This year's invited speakers
highlighted new trends
in algorithm development, discussed new trends
and challenges for
data mining from an industrial perspective,
revealed important
issues in both the monitoring and mining
of network data streams,
and exposed important mathematical and computational
problems
that arise in protecting privacy during transactional
database
mining and analysis. A workshop on counter-terrorism
and security
was held for the first time.
This proceedings includes 21 research papers;
14 were accepted as
poster presentations, and seven were accepted
as student papers
from the conference.
2003 / xiv + 347 pages / Softcover / ISBN
0-89871-545-8