Shizuhiko Nishisato University of Toronto, Ontario, Canada

Multidimensional Nonlinear Descriptive Analysis

ISBN: 1584886129
Publication Date: 7/5/2006
Number of Pages: 328

Provides an introduction to analyzing multidimensional categorical data using descriptive techniques
Presents necessary background material on statistical concepts and data analysis methods
Discusses different types of analysis, including categorical, descriptive, dual scaling, exhaustive, and optimal
Offers many numerical examples as well as case studies that demonstrate the usefulness of the procedures
Includes actual worked examples from a range of application areas including social and biological sciences
Features a straightforward approach suitable for newcomers to the field as well as seasoned researchers

Quantification of categorical, or non-numerical, data is a problem that scientists face across a wide range of disciplines. Exploring data analysis in various areas of research, such as the social sciences and biology, Multidimensional Nonlinear Descriptive Analysis presents methods for analyzing categorical data that are not necessarily sampled randomly from a normal population and often involve nonlinear relations.

This reference not only provides an overview of multidimensional nonlinear descriptive analysis (MUNDA) of discrete data, it also offers new results in a variety of fields. The first part of the book covers conceptual and technical preliminaries needed to understand the data analysis in subsequent chapters. The next two parts contain applications of MUNDA to diverse data types, with each chapter devoted to one type of categorical data, a brief historical comment, and basic skills peculiar to the data types. The final part examines several problems and then concludes with suggestions for future progress.

Covering both the early and later years of MUNDA research in the social sciences, psychology, ecology, biology, and statistics, this book provides a framework for potential developments in even more areas of study.

Contents


Bryan F.J. Manly Western EcoSystem Tech. Inc., Laramie, Wyoming, USA

Randomization, Bootstrap and Monte Carlo Methods in Biology, 3rd Edition

Series: Texts in Statistical Science Series Volume: 70
ISBN: 1584885416
Publication Date: 8/22/2006
Number of Pages: 472

Presents an overview of computer-intensive statistical methods and applications in biology
Covers a wide range of methods including bootstrap, Monte Carlo, ANOVA, regression, and Bayesian
Features a clear, accessible style that makes it easy for biologists, researchers, and students to understand the methods discussed
Provides information on computer programs and packages to implement calculations
Includes a large number of real, up-to-date examples from a range of disciplines, particularly in the biological sciences
Contains summaries and exercises for each chapter, making it suitable for courses and self-study

Modern computer-intensive statistical methods play a key role in solving many problems across a wide range of scientific disciplines. This new edition of the bestselling Randomization, Bootstrap and Monte Carlo Methods in Biology illustrates the value of a number of these methods with an emphasis on biological applications.

This textbook focuses on three related areas in computational statistics: randomization, bootstrapping, and Monte Carlo methods of inference. The author emphasizes the sampling approach within randomization testing and confidence intervals. Similar to randomization, the book shows how bootstrapping, or resampling, can be used for confidence intervals and tests of significance. It also explores how to use Monte Carlo methods to test hypotheses and construct confidence intervals.

New to the Third Edition

* Updated information on regression and time series analysis, multivariate methods, survival and growth data as well as software for computational statistics
* References that reflect recent developments in methodology and computing techniques
* Additional references on new applications of computer-intensive methods in biology

Providing comprehensive coverage of computer-intensive applications while also offering data sets online, Randomization, Bootstrap and Monte Carlo Methods in Biology, Third Edition supplies a solid foundation for the ever-expanding field of statistics and quantitative analysis in biology.

Contents



Richard A. Mollin Calgary, Alberta, Canada

An Introduction to Cryptography, Second Edition

Series: Discrete Mathematics and Its Applications Volume: 41
ISBN: 1584886188
Publication Date: 9/7/2006
Number of Pages: 424

Includes new background material on number theory and complexity theory
Contains two new application chapters covering such topics as electronic mail, network security, and biometrics
Features expanded and updated exercise sets
Provides additional information on cryptanalysis

Continuing a best-selling tradition, An Introduction to Cryptography, Second Edition features all of the requisite background material on number theory and algorithmic complexity, includes a historical look at the field, and offers updated and expanded exercise sets. In addition to updates throughout the text, this edition includes two new chapters on current and future applications that cover such topics as electronic mail, internet security, protocol layers and SSL, firewalls, client-server model and cookies, network security, wireless security, smart cards, and biometrics. The text also provides additional information on cryptanalysis and primality testing as well as appendices on DES and primitive roots.

Table of Contents

Basics of Cryptography. DES and AES. Public-Key Cryptosystems. Primality Testing. Factoring. Electronic Mail and Internet Security. Applications and the Future. Advanced Topics.

Yves R. Talpaert

Mechanics in Differential Geometry

In print, 2006
ISBN 90 6764 457 9
Hardback (xviii, 572 pp.)

This course and reference book develops theoretical mechanics within the modern framework of differential geometry.
Foundations of differential geometry recalled in a rigorous and practical way as an unavoidable prerequisite make the work autonomous. Manifolds, tensors, exterior algebra, Lie derivative, Lie algebra, integration of forms, Riemannian geometry, and more refer to a previous author's book. Since manifold symplectic structure, canonical forms, brackets, etc. concern modern mechanics, symplectic geometry is an 'interlinking field'.
Lagrangian and Hamiltonian formalisms, with their own spaces and functions, start mechanics where fundamental principles, etc. are clearly situated given didactic comparisons, numerous diagrams,figures and solved exercises, as well as Hamilton-Jacobi theory, perturbations, stability, qualitative dynamics.
Statistical mechanics, celestial mechanics, etc., also a fluid-dynamical system , an original method with Fourier transforms deserve research.

Readership: Professors, researchers, and 3rd -4th years students concerned in mathematics (differential geometry, tensor analysis), mechanics (theoretical, statistical), physics and engineering. Anyone wishing to acquire insight into mathematical methods of modern physics.

Yves R. Talpaert, Ph.D. (1974) in Science, Brussels University where he taught mathematics. A past Professor of mathematics-mechanics at several universities in Africa, he is a French author of books on mechanics, geometry, and of papers on stellar dynamics.