Sophia Rabe-Hesketh University of California, Berkeley, USA
Brian S. Everitt Institute of Psychiatry, King's College, London, UK

A Handbook of Statistical Analyses Using Stata, Fourth Edition

ISBN: 1584887567
Publication Date: 11/15/2006
Number of Pages: 352

・Demonstrates how a wide variety of statistical analyses, including descriptive statistics, graphics, and model estimation  and diagnostics, can be performed using Stata
・Features the new mixed-models estimation command xtmixed and the new matrix language Mata
・Incorporates numerous examples that use real-life data to explain the applications of the methods described
・Includes diverse data sets in many exercises as well as selected solutions in the appendix to build a better understanding  of the methodology
・Contains a solutions manual for qualifying course adoptions

With each new release of Stata, a comprehensive resource is needed to highlight the improvements as well as discuss the fundamentals of the software. Fulfilling this need, A Handbook of Statistical Analyses Using Stata, Fourth Edition has been fully updated to provide an introduction to Stata version 9. This edition covers many new features of Stata, including a new command for mixed models and a new matrix language.

Each chapter describes the analysis appropriate for a particular application, focusing on the medical, social, and behavioral fields. The authors begin each chapter with descriptions of the data and the statistical techniques to be used. The methods covered include descriptives, simple tests, variance analysis, multiple linear regression, logistic regression, generalized linear models, survival analysis, random effects models, and cluster analysis. The core of the book centers on how to use Stata to perform analyses and how to interpret the results. The chapters conclude with several exercises based on data sets from different disciplines.

A concise guide to the latest version of Stata, A Handbook of Statistical Analyses Using Stata, Fourth Edition illustrates the benefits of using Stata to perform various statistical analyses for both data analysis courses and self-study.

Table of Contents

Susumu Oda Kochi University, Japan
Ken-ichi Yoshida Okayama University of Science, Japan

Simple Extensions with the Minimum Degree Relations of Integral Domains

Series: Lecture Notes in Pure and Applied Mathematics Volume: 253
ISBN: 1584888512
Publication Date: 3/7/2007
Number of Pages: 184

・Covers undeveloped areas in communicative algebra
・Features authors who are experts in the field
・Presents a complete treatment of each topic discussed

In communicative algebra, studying ring extensions is somewhat related to investigating ideals in polynomial rings. However, there are many types of ring extensions, and the case of simple extension has not been completely researched yet. Simple Extensions with the Minimum Degree Relations of Integral Domains provides a comprehensive treatment of various undeveloped subjects in communicative algebra. As experts who have been studying this field for over a decade, the authors avoid abstract arguments in favor of ones they have developed themselves. This book serves as an ideal resource for graduate students and for researchers in the area of communicative algebra.

Table of Contents

Birational Simple Extensions. Simple Extensions of High Degree. Subrings of Anti-Integral Extensions. Denominator Ideals and Excellent Elements. Unramified Extensions. The Unit Groups of Simple Extensions. Exclusive Extensions of Noetherian Domains. Ultra-Primitive Extensions and Their Generators. Flatness and Contractions of Ideals. Anti-Integral Ideals and Super Primitive Polynomials. Semi Anti-Integral and Pseudo-Simple Extensions. References.

Irena Peeva Cornell University, Ithaca, New York

Syzygies and Hilbert Functions

Series: Lecture Notes in Pure and Applied Mathematics Volume: 254
ISBN: 1584888601
Publication Date: 3/26/2007
Number of Pages: 152

・Focuses on highlights, conjectures, unsolved problems, and examples
・Introduces new ideas and techniques
・Covers Hilbert functions and resolutions
・Features a case study in bigraded commutative algebra

The study of Hilbert functions and resolutions are closely related. For many years, Hilbert functions and resolutions have been central tools in numerous fields, including algebraic geometry, combinatorics, commutative algebra, and computational algebra. In recent years, there has been a surge of interest and research in this direction, resulting in a variety of new ideas and techniques. Syzygies and Hilbert Functions introduces these new developments, focusing on highlights, conjectures, unsolved problems, and examples. With contributions from experts in the field, this book provides coverage of topics such as Castelnuovo-Mumford regularity, lex-plus-power ideals, and Koszul toric rings.

Table of Contents

Introduction. Some Results and Questions on Castelnuovo-Mumford Regularity. Hilbert Coefficients of Ideals With a View Toward Blowup Algebra. A Case Study in Bigraded Commutative Algebra. Lex-plus-powers Ideals. Multiplicity Conjectures. The Geometry of Hilbert Functions. Resolutions of Subschemes of Small Degree. Koszul Toric Rings. Resolutions and Subspace Arrangements. Multi-graded Hilbert Functions, Mixed Multiplicities.

Vladimir Burd Yaroslavl State University, Yaraslavl, Russia

Method of Averaging of the Infinite Interval: Theory and Applications

Series: Lecture Notes in Pure and Applied Mathematics Volume: 255
ISBN: 1584888741
Publication Date: 3/22/2007
Number of Pages: 232

・Covers the averaging of linear differential equations with almost periodic coefficients
・Presents the development of the method of averaging on an infinite interval for nonlinear differential equations
・Addresses so-called systems with fast rotating phase
・Includes numerous exercises and useful facts in the appendices

Method of Averaging of the Infinite Interval: Theory and Applications provides a thorough understanding of this theory and its resulting applications. Divided into two parts, the first part of the book is devoted to the theory of averaging of linear differential equations with almost periodic coefficients, covering Shtokalo's method. The second part focuses on nonlinear systems and addresses the theory of averaging on an infinite interval as well as systems with fast rotating phases. The book contains a number of exercises to help readers develop techniques. It also includes appendices with useful facts on almost periodic functions, stability theory, and functional analysis.

Table of Contents

Averaging of Linear Differential Equations. Averaging Nonlinear System on Infinite Interval.

David Skillicorn Queen's University, Kingston, Ontario, Canada

Using Matrix Decompositions for Data Mining

Series: Chapman & Hall/CRC Data Mining and Knowledge Discovery Series
ISBN: 1584888326
Publication Date: 6/26/2007
Number of Pages: 300

・Concentrates on the use of matrix decompositions
・Describes how to build models of complex data using real-world scientific and engineering systems
・Focuses on data mining mechanics and applications
・Contains information that is useful for a wide variety of applications

Matrix decompositions are simple, widely available data mining tools used in a variety of applications. Using Matrix Decompositions for Data Mining presents the underlying matrix theory and explains how to use it as an effective tool. The book demonstrates how to build models of complex data using real-world scientific and engineering systems. It focuses on a wide range of applications such as information retrieval, topic detection, geochemistry, astrophysics, microarray analysis, process control, counterterrorism, and social network analysis. A common dataset is used throughout the text, and figures generated from MATLABョ are included, along with URLs where tools can be downloaded.


Sanguthevar Rajasekaran University of Connecticut, Storrs, USA
John Reif Duke University, Durham, North Carolina, USA

Handbook of Parallel Computing: Models, Algorithms and Applications

Series: Chapman & Hall/CRC Computer & Information Science Series
ISBN: 1584886234
Publication Date: 6/26/2007
Number of Pages: 1216

・Covers all aspects of parallel computing
・Presents applications to homeland security, coastal waves, and computational biology
・Discusses the parallel disk model, used to eliminate input and output bottlenecks
・Features recent advances such as parallel clustering algorithms used to process large datasets

Parallel computing plays a vital role in solving complex computing problems. The Handbook of Parallel Computing; Models, Algorithms, and Applications provides comprehensive coverage on all aspects of parallel computing, focusing on the foundational principles and recent advances in the areas of models, algorithms, and applications. This book addresses applications to computational biology, homeland security, and simulations of parallelism such as fuel cells, biological cells, and coastal waves. It covers the parallel disk model, which has been proposed to alleviate the input and output bottleneck. The book also presents recently discovered parallel clustering algorithms that are relevant to processing large datasets.

Table of Contents

Parallel Models. Basic Algorithms and Techniques. Advanced Techniques. Applications.