Raymond J Carroll Texas A&M University, College Station, USA
David Ruppert Cornell University , Ithaca, New York, USA
Leonard A Stefanski North Carolina State University, Raleigh, USA
Ciprian Crainiceanu John Hopkins University, Baltimore, Maryland, USA

Measurement Error in Nonlinear Models: A Modern Perspective, Second Edition

Series: Monographs on Statistics and Applied Probability Volume: 105
ISBN: 1584886331
Publication Date: 6/28/2006
Number of Pages: 488

Presents a complete and up-to-date survey of the modern measurement error modeling literature, written by leaders in the field
Provides several case studies and abundant examples along with an index of this material for easy reference
Offers an extensive set of measurement data available for download from the book's Web site
Discusses the use of R, StataR, and WinBUGSR and supplies downloadable computer code

It's been over a decade since the first edition of Measurement Error in Nonlinear Models splashed onto the scene, and research in the field has certainly not cooled in the interim. In fact, quite the opposite has occurred. As a result, Measurement Error in Nonlinear Models: A Modern Perspective, Second Edition has been revamped and extensively updated to offer the most comprehensive and up-to-date survey of measurement error models currently available.

What's new in the Second Edition?
・ Greatly expanded discussion and applications of Bayesian computation via Markov Chain Monte Carlo techniques
・ A new chapter on longitudinal data and mixed models
・ A thoroughly revised chapter on nonparametric regression and density estimation
・ A totally new chapter on semiparametric regression
・ Survival analysis expanded into its own separate chapter
・ Completely rewritten chapter on score functions
・ Many more examples and illustrative graphs
・ Unique data sets compiled and made available online

In addition, the authors expanded the background material in Appendix A and integrated the technical material from chapter appendices into a new Appendix B for convenient navigation. Regardless of your field, if you're looking for the most extensive discussion and review of measurement error models, then Measurement Error in Nonlinear Models: A Modern Perspective, Second Edition is your ideal source.

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Richard E Klima Appalachian State University, Boone, North Carolina, USA
Neil Sigmon Radford University, Virginia, USA
Ernest Stitzinger North Carolina State University, Raleigh, North Carolina, US

Applications of Abstract Algebra with Maple and MATLAB, Second Edition

Series: Discrete Mathematics and Its Applications Volume: 40
ISBN: 1584886102
Publication Date: 7/26/2006
Number of Pages: 520

Provides solid coverage of algebraic applications in areas such as combinatorics, graph theory, coding theory, and cryptography using Maple and MATLAB
Presents a variety of codes, including Hadamard, Reed-Muller, Hamming, BCH, and Reed-Solomon
Explores shift, affine, Hill, and Vigenere ciphers
Describes how elliptic curves can be naturally incorporated into the ElGamal cryptosystem
Includes a CD-ROM with all programs and codes that are used in the book
Contains a thorough treatment of the AES

Eliminating the need for heavy number-crunching, sophisticated mathematical software packages open the door to areas like cryptography, coding theory, and combinatorics that are dependent on abstract algebra. Applications of Abstract Algebra with Maple and MATLAB, Second Edition explores these topics and shows how to apply the software programs to abstract algebra and its related fields.

Carefully integrating MapleR and MATLABR, this book provides an in-depth introduction to real-world abstract algebraic problems. The first chapter offers a concise and comprehensive review of prerequisite advanced mathematics. The next several chapters examine block designs, coding theory, and cryptography while the final chapters cover counting techniques, including Polya's and Burnside's theorems. Other topics discussed include the Rivest, Shamir, and Adleman (RSA) cryptosystem, digital signatures, primes for security, and elliptic curve cryptosystems.

New to the Second Edition
O Three new chapters on Vigenere ciphers, the Advanced Encryption Standard (AES), and graph theory as well as new MATLAB and Maple sections
O Expanded exercises and additional research exercises
O Maple and MATLAB files and functions available for download online and from a CD-ROM

With the incorporation of MATLAB, this second edition further illuminates the topics discussed by eliminating extensive computations of abstract algebraic techniques. The clear organization of the book as well as the inclusion of two of the most respected mathematical software packages available make the book a useful tool for students, mathematicians, and computer scientists.

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Joti Lal Jain University of Delhi, India
Sri Gopal Mohanty McMaster University, Ontario, Canada
Walter Bohm University of Economics, Vienna, Austria

A Course on Queueing Models

Series: Statistics: A Series of Textbooks and Monographs Volume: 189
ISBN: 1584886463
Publication Date: 8/3/2006
Number of Pages: 472

Includes two chapters exclusively devoted to computational methods
Presents classical results and basics, such as Markovian and regenerative non-Markovian models, along with a selection of recent topics
Integrates different models to emphasize the Markovian structure and techniques
Features detailed coverage of discrete time queues, combinatorial methods in queues, and queuing networks
Contains a discussion section at the end of each chapter, summarizing content and highlighting special features

While most texts address only the classical methods of queuing theory, A Course on Queuing Theory also covers fundamentals, such as Markovian and regenerative non-Markovian models, as well as computational methods, statistical inference, and simulation. The authors integrate different models to emphasize the Markovian structure and present detailed descriptions of network queues, discrete time queues, and optimization as well as advanced topics, including combinatorial treatments in transient analysis, general queues, duality in queues, and new computational methods. Each self-contained chapter features a discussion section that summarizes material and makes connections within the text.

Table of Contents

Queues: Basic Concepts. Markovian Queues. Regenerative Non-Markovian Queues-I. Computational Methods-I. Statistical Inference and Simulation. Regenerative Non-Markovian Queues-II. General Queues. Computational Methods-II. Discrete Time Queues: Transient Solutions. Miscellaneous Topics.

Dorothee D Haroske Friedrich-Schiller-Universitat Jena, Germany

Envelopes and Sharp Embeddings of Function Spaces

Series: Research Notes in Mathematics Series Volume: 437
ISBN: 1584887508
Publication Date: 9/6/2006
Number of Pages: 240

Presents the first detailed account of the new theory of growth and continuity envelopes in function spaces
Introduces the concept for classical spaces before studying more general spaces
Includes background material that makes the book self-contained and accessible
Contains many concrete examples and applications

Self-contained and accessible, Envelopes and Sharp Embeddings of Function Spaces presents the first detailed account of the new theory of growth and continuity envelopes in function spaces. These concepts originate from the classical result of the Sobolev embedding theorem, ubiquitous in all areas of functional analysis, and are closely connected to the notion of sharp embeddings with applications in approximation theory. This book introduces the concept of classical spaces before moving on to examine more general spaces. Including background material as well as numerous concrete examples, this text provides valuable information for graduate students and researchers in functional analysis.

Table of Contents

Definition, Basic Properties, and First Examples. Results in Function Spaces, and Applications. References. Symbols. Index. List of Figures.

Russey, William E. / Ebel, Hans Friedrich / Bliefert, Claus

How to Write a Successful Science Thesis
The Concise Guide for Students

1. Auflage - May 2006
2006. X, 223 Seiten, Softcover
ISBN 3-527-31298-6

This handy guide from the best-selling author team of "The Art of Scientific Writing" shows how to achieve maximum benefit with relatively little effort.
The treatment is rich in examples and challenging problems applicable either in conjunction with a course or for self-study.

contents

Introduction
STYLE AND METHODS
The Laboratory Notebook
Literature Work
Getting Started: Outline and First Draft
Writing Style
Writing Techniques
THE COMPONENTS OF A THESIS
Title, Title Page
Dedication, Preface, Acknowledgements
Table of Contents
Abstract
Introduction, Definition of the Problem
Results
Discussion
Conclusions
Experimental Section
Bibliography
Appendices, Miscellaneous Other Sections
SPECIAL ELEMENTS
Footnotes
Numbers, Quantities, Units, and Functions
Mathematical Expressions and Equations
Tables
Figures
SOLUTIONS TO THE CHALLENGES
INDEX

Consani, Caterina / Marcolli, Matilde

Noncommutative Geometry and Number Theory
Where Arithmetic meets Geometry and Physics

Aspects of Mathematics E 37
2006. viii, 372 pp. Hardc.
ISBN: 3-8348-0170-4

In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.

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The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.