Edited by Murray Gell-Mann and C. Tsallis

Nonextensive Entropy
Interdisciplinary Applications

Apr 2004 In Stock

Description

A great variety of complex phenomena in many scientific fields exhibit power-law behavior, reflecting a hierarchical or fractal structure. Many of these phenomena seem to be susceptible to description using approaches drawn from thermodynamics or statistical mechanics, particularly approaches involving the maximization of entropy and of Boltzmann-Gibbs statistical mechanics and standard laws in a natural way. The book addresses the interdisciplinary applications of these ideas, and also on various phenomena that could possibly be quantitatively describable in terms of these ideas.

Product Details

440 pages; 22 halftones, 77 line illus.; 6-1/8 x 9-1/4; 0-19-515977-2 Paperback
440 pages; 22 halftones, 77 line illus.; 6-1/8 x 9-1/4; 0-19-515976-4 Hardback

About the Author(s)
Edited by Murray Gell-Mann, Professor, Sante Fe Institute, and Constantino Tsallis, Brazilian Center for Physics Research

Duncan C. Thomas

Statistical Methods in Genetic Epidemiology

Description

This balanced and well-integrated text gives a lucid overview of the entire process of genetic epidemiology, from familial aggregation through segregation, likage, and association studies. It is illustrated throughout with examples from the literature on cancer genetics. Statistical concepts are developed in depth, but with a focus on applications. Introductory chapters on molecular biology, Mendelian genetics, epidemiology, statistics, and population genetics are included. Oriented to graduate students in biostatistics, epidemiology, and human genetics, the book will also be a useful reference for researchers. It gives equal emphasis to study designs and data analysis.

Product Details

464 pages; 95 line illus.; 6-1/8 x 9-1/4; 0-19-515939-X Hardback

About the Author(s)

Duncan C. Thomas, Professor of Preventive Medicine, Director of the Biostatistics Division, and Verna R. Richter Chair in Cancer Research, University of Southern California Keck School of Medicine

Steve Selvin

Statistical Analysis of Epidemiologic Data ,Third Edition

Description

Analytic procedures suitable for the study of human disease are scattered throughout the statistical and epidemiologic literature. Explanations of their properties are frequently presented in mathematical and theoretical language. This well-established text gives readers a clear understanding of the statistical methods that are widely used in epidemiologic research without depending on advanced mathematical of statistical theory. By applying these methods to actual data, Selvin reveals the strengths and weaknesses of each analytic approach. He combines techniques from the fields of statistics, biostatistics, demography and epidemiology to present a comprehensive overview that does not require computational details of the statistical techniques described.

For the Third Edition, Selvin took out some old material (e.g. the section on rarely used cross-over designs) and added new material (e.g. sections on frequently used contingency table analysis). Throughout the text he enriched existing discussions with new elements, including the analysis of multi-level categorical data and simple, intuitive arguments that exponential survival times cause the hazard function to be constant. He added a dozen new applied examples to illustrate such topics as the pitfalls of proportional mortality data, the analysis of matched pair categorical data, and the age-adjustment of mortality rates based on statistical models. The most important new feature is a chapter on Poisson regression analysis. This essential statistical tool permits the multivariable analysis of rates, probabilities and counts.

Reviews

From reviews of previous editions:

"This book is well-written and is generally easy to read. Selvin has done a nice job of presenting methods and illustrating the methods with numerical data."--Journal of the American Statistical Association

"...an outstanding, readable, and useful presentation of the methods of analysis of disease data. The author has filled a gap admirably. I am sure that this book will deservedly become extensively used in the field of epidemiology world-wide..."--International Journal of Health Sciences

"This is a well-written book that provides an important link between the analysis and interpretation of continuous data in epidemiologic terms. The text would be useful in an immediate epidemiology course that describes the basics of life-table analysis, logistic regression, and survival analysis."--Epidemiology Monitor

Product Details

512 pages; 77 line illus.; 6-1/8 x 9-1/4; 0-19-517280-9 hardback

About the Author(s)

Steve Selvin, Professor of Biostatistics and Epidemiology, University of California, Berkeley

Walter Gautschi, Department of Computer Sciences, Purdue University, USA

Orthogonal Polynomials - Computation and Approximation

(Hardback)
0-19-850672-4
Publication date: 29 April 2004
312 pages, 9 b/w line drawings, 234mm x 156mm

Series: Numerical Mathematics and Scientific Computation

Breaks new ground in the wide field of orthogonal polynomials and their applications
Eminently practical, yet based on solid theory
First available collection of relevant Matlab codes
Contains ready-to-use computer programs
Enables many applications of orthogonal polynomials without comprehensive knowledge of underlying theory
Provides ample references to literature

Description

Orthogonal polynomials are a widely used class of mathematical functions that are helpful in the solution of many important technical problems. This book provides, for the first time, a systematic development of computational techniques, including a suite of computer programs in Matlab downloadable from the Internet, to generate orthogonal polynomials of a great variety.

Readership: Wide readership of scientists and engineers working in academia or industry who need to apply orthogonal polynomials. Also of interest to mathematicians and numerical analysts.

Contents/contributors
Basic Theory
1.1 Orthogonal polynomials
1.2 Properties of orthogonal polynomials
1.3 Three-term recurrence relation
1.4 Quadrature rules
1.5 Classical orthogonal polynomials
1.6 Kernal polynomials
1.7 Sobolev orthogonal polynomials
1.8 Orthogonal polynomials on the semicircle
1.9 Notes to chapter 1
Computational Methods
2.1 Moment-based methods
2.2 Discretization methods
2.3 Computing Cauchy integrals of orthogonal polynomials
2.4 Modification algorithms
2.5 Computing Sobolev orthogonal polynomials
2.6 Notes to chapter 2
Applications
3.1 Quadrature
3.2 Least squares approximation
3.3 Moment-preserving spline approximation
3.4 Slowly convergent series
3.5 Notes to chapter 3

Shawn Hedman, Department of Mathematics, Florida Southern College

A First Course in Logic - An Introduction to Model Theory, Proof Theory, Computability, and Complexity

(Paperback)0-19-852981-3
(Hardback) 0-19-852980-5
Publication date: July 2004
400 pages, 240mm x 168mm

Series: OXFORD TEXTS IN LOGIC

Extensive coverage of the basics of classical logic
Extremely clear, thorough and accurate
Ideal textbook for a first or refresher course
Contains numerous exercises
Aimed at a broad audience from students of computer science through mathematics, logic and philosophy

Description

'a clear and unifying treatment of fundamental concepts underlying Computer Sciences and Foundations of Mathematics' Professor Boris Zilber (Professor of Mathematical Logic, University of Oxford)
'an excellent book' Professor Dov Gabbay (King's College, London)

Based on the author's teaching notes, this comprehensive text covers the basics of classical logic, including propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory. Extremely clear, thorough and accurate, this text is ideal for a first or refresher course.


Readership: Comprehensive text on the basics of logic for year 3 and 4 undergraduates of mathematics, logic, computer science and philosophy.

Contents/contributors

Preliminaries
1 Propositional Logic
2 Structures and First-Order Logic
3 Proof Theory
4 Properties of First-Order Logic
5 First-Order Theories
6 Models of Countable Theories
7 Computability and Complexity
8 The Incompleteness Theorems
9 Beyond First-Order Logic
10 Finite Model Theory
Bibliography
Index