Albert J Milani University of Wisconsin-Milwaukee, Wisconsin, USA

Norbert J Koksch Technische Univ. Dresden, Germany

An Introduction to Semiflows

Series: Monographs & Surveys in Pure & Applied Math

ISBN: 1-58488-458-4
Publication Date: 7/15/2004
Number of Pages: 300

Presents information based on the authors' teaching experience
Brings theory of semiflows to beginning graduate students not ready for more in-depth treatments
Capitalizes on the interest in the subject over the last two decades

Semiflows are a class of Dynamical Systems, meaning that they help to describe how one state develops into another state over the course of time, a very useful concept in Mathematical Physics and Analytical Engineering. The authors concentrate on surveying existing research in continuous semi-dynamical systems, in which a smooth action of a real number on another object occurs from time zero, and the book proceeds from a grounding in ODEs through Attractors to Inertial Manifolds. The book demonstrates how the basic theory of dynamical systems can be naturally extended and applied to study the asymptotic behavior of solutions of differential evolution equations.

P.L. Sachdev Indian Institute of Science, Bangalore, India

Shock Waves & Explosions

Series: Monographs & Surveys in Pure & Applied Math

ISBN: 1-58488-422-3
Publication Date: 5/27/2004
Number of Pages: 288

" Offers an introductory review of historic research in the field
" Presents a clear treatment of perturbation and asymptotic methods
" Includes new methods not included in other texts

Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. While offering an introductory review of historic research, Shock Waves & Explosions brings analytic and computational methods to a wide audience in a clear and thorough way. Beginning with an overview of the research on combustion and gas dynamics by Korobeinikov and Zeldovich in the 1970s and 80s, the author brings readers up to date by covering modeling techniques and asymptotic and perturbative methods and ending with a chapter on computational methods.

John Verzani CUNY/College of Staten Island, Staten Island, New York, USA

Using R for Introductory Statistics

ISBN: 1584884509
Publication Date: 7/15/2004
Number of Pages: 220

Provides the first truly introductory book on statistics using R, suitable for students from a wide range of scientific disciplines
References the latest version of R throughout
Features a chapter on using R through a graphical user interface
Comes complete with an resource containing datasets, R functions, and updates to the latest features

R is a free software package that has seen a huge increase in users within the last five years and now is used increasingly in introductory classes. There are few books covering introductory statistics using R, and this book fills a gap as a true "beginner" book. With emphasis on data analysis and practical examples Using R for Introductory Statistics encourages understanding rather than focusing on learning the underlying language. It includes a large collection of problem sets with solutions and numerous practical examples from a broad range of scientific disciplines. It comes complete with an online resource containing datasets, R functions, and updates to the latest features.

Adrian J Baddeley University of Western Australia, Australia
Eva B. Vedel Jensen University of Aarhus, Aarhus, Denmark

Stereology for Statisticians

Series: Monographs on Statistics and Applied Probability

ISBN: 1-58488-405-3
Publication Date: 8/15/2004
Number of Pages: 192

Summarizes the recent important developments in stereological data analysis
Emphasizes sampling and design issues for statisticians dealing with stereological data
Keeps mathematical formalities to a minimum to appeal to a wide audience
Addresses a real need for a practical, applications-orientated approach

Stereology is a series of mathematical methods developed for 3D image analysis, which is often called "sampling in 3 dimensions." Stereological methods are used widely throughout the sciences, particularly in the biological, medical and materials sciences. Currently there is no satisfactory resource on stereology for statisticians that deals with the techniques in a practical, applications-oriented way. Written by the pre-eminent statisticians working in the field, and intended for consultant statisticians, biometricians and quantitative scientists who may encounter stereological data in their work, Stereology for Statisticians fills this gap.

Miklos Bona University of Florida, Gainesville, Florida, USA

Combinatorics of Permutations

Series: Discrete Mathematics and Its Applications Volume: 29

ISBN: 1-58488-434-7
Publication Date: 6/25/2004
Number of Pages: 400

" Covers both enumerative and extremal combinatorics
" Presents complete and comprehensive information on pattern avoidance
" Includes applications from fields such as statistics, computer science, and molecular biology
" Demonstrates several applications of the probabilistic method to permutations
" Studies permutations both as linear orders and as elements of the symmetric group

The first book to be published on the subject, Combinatorics of Permutations offers a comprehensive, up to date treatment of both enumerative and extremal combinatorics. Filled with applications from a variety of fields and exercises that draw upon recent research results, this book is ideal as graduate-level text and as a reference for researchers in combinatorics.

About the Author:

Miklos Bona received his Ph.D. from the Massechusetts Instutue of Technology in 1997 and held postdoctoral positions at the Institute for Advanced Study in Princeton and at the University of Quebec. His research interests focus on enumerative, bijective, and algebraic combinatorics involving the study of permutations, partitions, graphs, and partially ordered sets. An award-winning instructor, Dr. Bono currently teaches at the University of Florida, Gainesville, USA

George Cain Georgia Institute of Technology, Atlanta, USA
Gunter H Meyer Georgia Institute of Technology, Atlanta, Georgia, USA

Separation of Variables for Partial Differential Equations:
An Eigenfunction Approach

Series: Studies in Advanced Mathematics

ISBN: 1-58488-420-7
Publication Date: 8/15/2004
Number of Pages: 306

Includes many realistic applications beyond the usual model problems
Discusses error estimates throughout the book
Presents eigenfunction expansion as rigorous approximation methods and computational tools
Includes numerous exercises

Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems. The book concentrates on the method of separation of variables for partial differential equations, which remains an integral part of the training in applied mathematics. Beyond the usual model problems, the presentation includes a number of realistic applications that illustrate the power and usefulness of the ideas behind these techniques. This complete, self-contained book includes numerous exercises and error estimates, as well as a rigorous approximation and computational tool.

Hughes Gustove Francos Talbot

Applied Image Analysis

Series: Monographs on Statistics and Applied Probability

ISBN: 1-58488-199-2
Publication Date: 11/15/2004
Number of Pages: 304

Provides text based on industry experience that brings real-life situations and images to the book
Presents in-depth discussion of topics targeted toward applied statisticians and industry professionals
Includes 150 images, including many colour images

Image analysis is one of the fastest growing areas in applied statistics. Featuring applications in medicine, biology, genetics, materials science, and engineering, Applied Image Analysis bridges the gap between introductory texts and overly technical statistics books. Written for applied statisticians, engineers, and computer scientists, it covers the most appropriate techniques for carrying out applied quantitative image analysis, including two-D black and white, color, and multispectral imaging. The book features real-world analyses that illustrate many techniques as they are introduced, as well as methods for combining techniques to perform a complete analysis.