Series: Multivariate Applications Series
ISBN: 9780805839746
ISBN-10: 0805839747
Publication Date: 01/03/2008
Pages: 488
Trim Size: 6 x 9
About the Title
This volume introduces the statistical, methodological, and conceptual aspects of mediation analysis. Applications from health, social, and developmental psychology, sociology, communication, exercise science, and epidemiology are emphasized throughout. Single-mediator, multilevel, and longitudinal models are reviewed. The author's goal is to help the reader apply mediation analysis to their own data and understand its limitations.
Each chapter features an overview, numerous worked examples, a summary, and exercises (with answers to the odd numbered questions). The accompanying CD contains outputs described in the book from SAS, SPSS, LISREL, EQS, MPLUS, and CALIS, and a program to simulate the model. The notation used is consistent with existing literature on mediation in psychology.
The book opens with a review of the types of research questions the mediation model addresses. Part II describes the estimation of mediation effects including assumptions, statistical tests, and the construction of confidence limits. Advanced models including mediation in path analysis, longitudinal models, multilevel data, categorical variables, and mediation in the context of moderation are then described. The book closes with a discussion of the limits of mediation analysis, additional approaches to identifying mediating variables, and future directions.
Introduction to Statistical Mediation Analysis is intended for researchers and advanced students in health, social, clinical, and developmental psychology as well as communication, public health, nursing, epidemiology, and sociology. Some exposure to a graduate level research methods or statistics course is assumed. The overview of mediation analysis and the guidelines for conducting a mediation analysis will be appreciated by all readers.
ISBN: 978-81-7319-898-4
Publication Year: Forthcoming 2008
Pages: 300
Binding: Hard Back
Dimension: 185mm x 240mm
About the book
Diophantine Equations have a long and rich history. It got an impetus with the advent of Baker's theory of linear forms in logarithms, in the 1960's. Professor T.N. Shorey's contribution to Diophantine equations based on Baker's theory is widely acclaimed. An international conference was held at the Tata Institute of Fundamental Research, Mumbai, in his honour. This volume, evolved out of the papers contributed by several participants and non-participants, reflect various aspects of exponential Diophantine equations from experts in the field.
Table of content
An Extremal Problem in Lattice Point Combinatorics / Exitence of Polyadic Codes in terms of Diophantine Equations / Some Problems of Analytic Number Theory ? V / Powers From Five Terms in Arithmetic Progression / Linear Forms in the Logarithms of Algebraic Numbers Close to 1 and Applications to Diophantine Equations / Logarithmic Functions and Formal Groups of Elliptic Curves / T.N. Shorey’s Influence in the Theory of Irreducible Polynomials / Polynomial Powers and a Common Generalization of Binomial Thue-Mahler Equations and S-unit Equations / On the Diophantine Equation / On Numbers of the Form ±x2 ± y!/ Linear Forms in Two and Three Logarithms and Interpolation Determinants / Algebraic Independence in the p-adic Domain / Remark on p-adic Algebraic Independence Theory / On a Conjecture of Shorey / Generalized Lebesgue-Ramanujan-Nagell Equations / Around P´olya’s Theorem on the Set of Prime Divisors of a Linear Re-currence / The Number of Solutions of Some Diophantine Equations / On the Greatest Square Free Factor of Terms of a Linear Recurrence Sequence / Diophantine Approximation and Transcendence in Finite Characteristic / On Irrationality and Transcendency of Infinite Sums of Rational Numbers / The Role of Complex Conjugation in Transcendental Number Theory.
Audience
Postgraduate Students, Teachers & Researchers in Mathematics
(Hardback)
ISBN-13: 978-0-19-921353-5
Estimated publication date: December 2007
216 pages, 234x156 mm
Series: Oxford Lecture Series in Mathematics and Its Applications number 36
Description
Highly regarded author team.
Topical and timely text in a fast-growing field.
The wide applicability of this method is discussed by reference to typical examples.
The factorization method is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. Aimed at students and researchers in Applied Mathematics, Physics and Engineering, this text introduces the reader to this promising approach for solving important classes of inverse problems. The wide applicability of this method is discussed by choosing typical examples, such as inverse scattering problems for the scalar Helmholtz equation, a scattering problem for Maxwell's equation, and a problem in impedance and optical tomography. The last section of the book compares the Factorization Method to established sampling methods (the Linear Sampling Method, the Singular Source Method, and the Probe Method).
Readership: Graduates and researchers in Applied Mathematics, Physics and Engineering.
Contents
Preface
1. The Simplest Cases: Dirichlet and Neumann Boundary Conditions
2. The Factorization Method for Other Types of Inverse Obstacle Scattering Problems
3. The Mixed Boundary Value Problem
4. The MUSIC Algorithm and Scattering by an Inhomogenous Medium
5. The Factorization method for Maxwell's Equations
6. The Factorization Method in Impedance Tomography
7. Alternative Sampling and Probe Methods
Bibliography
(hardback)
ISBN-13: 978-0-19-921540-9
(paper)
ISBN-13: 978-0-19-921541-6
Estimated publication date: April 2008
352 pages, 6 BW Line, 234x156 mm
Series: Oxford Graduate Texts in Mathematics
Description
Authored by a leading researcher in the field
Brings together ideas from PDE theory, General Relativity and Astrophysics
Valuable resource for advanced undergraduates, graduates and researchers in fields such as numerical relativity and cosmology which are currently very active
A graduate level text on a subject which brings together several areas of mathematics and physics: partial differential equations, differential geometry and general relativity. It explains the basics of the theory of partial differential equations in a form accessible to physicists and the basics of general relativity in a form accessible to mathematicians. In recent years the theory of partial differential equations has come to play an ever more important role in research on general relativity. This is partly due to the growth of the field of numerical relativity, stimulated in turn by work on gravitational wave detection, but also due to an increased interest in general relativity among pure mathematicians working in the areas of partial differential equations and Riemannian geometry, who have realized the exceptional richness of the interactions between geometry and analysis which arise. This book provides the background for those wishing to learn about these topics. It treats key themes in general relativity including matter models and symmetry classes and gives an introduction to relevant aspects of the most important classes of partial differential equations, including ordinary differential equations, and material on functional analysis. These elements are brought together to discuss a variety of important examples in the field of mathematical relativity, including asymptotically flat spacetimes, which are used to describe isolated systems, and spatially compact spacetimes, which are of importance in cosmology.
Readership: Graduates and researchers in Applied Mathematics, Physics, Cosmology and Numerical Relativity
Contents
1. Introduction
2. General relativity
3. Matter models
4. Symmetry classes
5. Ordinary differential equations
6. Functional Analysis
7. Elliptic Equations
8. Hyperbolic Equations
9. The Cauchy problem for the Einstein equations
10. Global results
11. The Einstein-Vlasov Equation
12. The Einstein-scalar field system