ISBN 1-57146-101-9
AUTHORS:
Gunnar Carlsson / Stanford University
Recent Developments in Algebraic K-theory
Daniel Freed / University of Texas
K-Theory in Quantum Field Theory
Elliott H. Lieb / Princeton University
Jakob Yngvason / Universitat Wien
The Mathematical Structure of the Second
Law of Thermodynamics
Elliott H. Lieb / Princeton University |Jan
Philip Solovej /
University of Copenhagen
Robert Seiringer / Princeton University |Jakob
Yngvason /
Universitat Wien
The Ground State of the Bose Gas
Shou-Wu Zhang / Columbia University
On Gross-Zagier Formula
ISBN: 0-471-49880-7
Hardcover
ISBN: 0-471-49881-5
Paperback
488 pages
May 09, 2003
Description
The field of applied probability has changed
profoundly in the
past twenty years. The development of computational
methods has
greatly contributed to a better understanding
of the theory. A
First Course in Stochastic Models provides
a self-contained
introduction to the theory and applications
of stochastic models.
Emphasis is placed on establishing the theoretical
foundations of
the subject, thereby providing a framework
in which the
applications can be understood. Without this
solid basis in
theory no applications can be solved.
Provides an introduction to the use of stochastic
models through
an integrated presentation of theory, algorithms
and applications.
Incorporates recent developments in computational
probability.
Includes a wide range of examples that illustrate
the models and
make the methods of solution clear.
Features an abundance of motivating exercises
that help the
student learn how to apply the theory.
Accessible to anyone with a basic knowledge
of probability.
A First Course in Stochastic Models is suitable
for senior
undergraduate and graduate students from
computer science,
engineering, statistics, operations resear
ch, and any other
discipline where stochastic modelling takes
place. It stands out
amongst other textbooks on the subject because
of its integrated
presentation of theory, algorithms and applications.
Table of Contents
Preface.
The Poisson Process and Related Processes.
Renewal-Reward Processes.
Discrete-Time Markov Chains.
Continuous-Time Markov Chains.
Markov Chains and Queues.
Discrete-Time Markov Decision Processes.
Semi-Markov Decision Processes.
Advanced Renewal Theory.
Algorithmic Analysis of Queueing Models.
Appendices.
ISBN: 0-471-27398-8
Hardcover
224 pages
September 2003
Description
The emergence of genomics, the study of genes,
is one of the
major scientific revolutions of this century.
Microarrays, a
method used to analyze numerous DNA samples
rapidly, enables
scientists to make sense of this mountain
of data using
statistical analysis. They are being used
in such areas of
biomedical research as studying patterns
for gene activity that
cause cancers to spread. This book presents
a comprehensive
methodology for analyzing DNA microarray
and protein array data.
The most comprehensive treatment of this
important emerging
field, Exploration and Analysis of DNA Microarray
and Protein
Array Data includes:
A review of basic molecular biology and a
chapter introducing
microarrays and their preparation
Chapters on processing scanned images, preprocessing
microarray
data, group comparative experiments, and
other designs
Discussions of clustering, protein arrays,
and applications for
diagnostic tools
Ample exercises assist absorbtion
Table of Contents
Preface.
A Brief Introduction.
Genomics Basics.
Microarrays.
Processing the Scanned Image.
Preprocessing Microarray Data.
Summarization.
Two-Group Comparative Experiments.
Model-Based Inference and Experimental Design
Considerations.
Pattern Discovery.
Class Prediction.
Protein Arrays.
References.
ISBN: 0-471-96758-0
Hardcover
440 pages
August 2003
Description
Second edition of the exceptionally popular
Numerical Analysis of
Ordinary Differential Equations
New exercises are included in each chapter
The author is widely regarded as the world
expert on Runge-Kutta
methods
"This book is...an indispensible reference
for any
researcher"
- American Mathematical Society review of
the first edition.
Table of Contents
Preface.
1 Differential and Difference Equations.
2 Numerical Differential Equation Methods.
3 Runge-Kutta Methods.
4 Linear Multistep Methods.
5 General Linear Methods.
References.
Index.
NEW IN PAPERBACK
0-19-926262-4
Publication date: 22 May 2003
Clarendon Press 650 pages, 234mm x 156mm
Description
The Philosophy of Mathematics Today gives
a panorama of the best
current work in this lively field, through
twenty essays
specially written for this collection by
leading figures. The
topics include indeterminacy, logical consequence,
mathematical
methodology, abstraction, and both Hilbert's
and Frege's
foundational programmes. The collection will
be an important
source for research in the philosophy of
mathematics for years to
come.
Contributors Paul Benacerraf, George Boolos,
John P. Burgess,
Charles S. Chihara, Michael Detlefsen, Michael
Dummett, Hartry
Field, Kit Fine, Bob Hale, Richard G. Heck,
Jnr., Geoffrey
Hellman, Penelope Maddy, Karl-Georg Niebergall,
Charles D.
Parsons, Michael D. Resnik, Matthias Schirn,
Stewart Shapiro,
Peter Simons, W.W. Tait, Crispin Wright.
Readership: Scholars and students of the
philosophy of
mathematics.
Contents/contributors
Introduction.
PART I: ONTOLOGY, MODELS, AND INDETERMINACY
1 Paul Benacerraf: What Mathematical Truth
Could Not Be--1
2 Bob Hale: Iis Platonism Epistemologically
Bankrupt?
3 Hartry Field: Do We Have a Determinate
Conception of Finiteness
and Natural Number?
4 Stewart Shapiro: Logical Consequence: Models
and Modality
5 Charles Chihara: Tarski's Thesis and the
Ontology of
Mathematics
PART II: MATHEMATICS, SCIENCE, AND METHOD
6 Penelope Maddy: Naturalizing Mathematical
Methodology
7 John P. Burgess: Occam's Razor and Scientific
Method
8 Geoffrey Hellman: Beyond Definitionism
- But Not Too Far Beyond
9 Michael D. Resnik: Holistic Mathematics
PART III: FINITISM AND INTUITIONISM
10 Charles Parsons: Finitism and Intuitive
Knowledge
11 Karl-Georg Niebergall and Matthias Schirn:
Hilbert's Finitism
and the Notion of Infinity
12 Michael Detlefsen: Constructive Existence
Claims
PART IV: FREGE AND THE FOUNDATIONS OF ARITHMETIC
13 Crispin Wright: On the Harmless Impredicativity
of N= (`Hume's
Principle')
14 Michael Dummett: Neo-Fregeans: In Bad
Company?
15 Crispin Wright: Response to Dummett
16 George Boolos and Richard G. Heck: Die
Grundlagen der
Arithmetik, 82-3
17 Richard G. Heck: The Finite and the Infinite
in Frege's
Grundgesetze der Arithmetik
PART V: SETS, STRUCTURE, AND ABSTRACTION
18 W. W. Tait: Zermelo's Conception of Set
Theory and Reflection
Principles
19 Peter Simons: Structure and Abstraction
20 Kit Fine: The Limits of Abstraction
Index