Kleinbaum, David, Klein, Mitchel

Survival Analysis, 2nd ed.
A Self-Learning Text

Series: Statistics for Biology and Health
2005, Approx. 585 p. 107 illus., Hardcover
ISBN: 0-387-23918-9

About this textbook

This greatly expanded second edition of Survival Analysis- A Self-learning Text provides a highly readable description of state-of-the-art methods of analysis of survival/event-history data. This text is suitable for researchers and statisticians working in the medical and other life sciences as well as statisticians in academia who teach introductory and second-level courses on survival analysis. The second edition continues to use the unique "lecture-book" format of the first (1996) edition with the addition of three new chapters on advanced topics:

Chapter 7: Parametric Models

Chapter 8: Recurrent events

Chapter 9: Competing Risks.

Also, the Computer Appendix has been revised to provide step-by-step instructions for using the computer packages STATA (Version 7.0), SAS (Version 8.2), and SPSS (version 11.5) to carry out the procedures presented in the main text.

The original six chapters have been modified slightly

Table of contents

Introduction to Survival Analysis * Kaplan-Meier Survival Curves and the Log-Rank Test * The Cox Proportional Hazards Model and Its Characteristics * Evaluating the Proportional Hazards Assumption * The Stratified Cox Procedure * Extension of the Cox Proportional Hazards Model for Time-Dependent Variables


Bonnard, Bernard, Faubourg, Ludovic, Trelat, Emmanuel

Mecanique celeste et controle des vehicules spatiaux

Series: Mathematiques et Applications, Vol. 51
2006, XIV, 276 p. 11 illus., Softcover
ISBN: 3-540-28373-0

About this textbook

Le but de ce livre est de presenter les developpements recents du controle geometrique oriente vers la commande (notamment optimale) des vehicules spatiaux. Il est principalement destine aux etudiants de 3e cycle et aux chercheurs, et son contenu a servi de base a une serie de cours de controle et d'automatique enseignes a des etudiants de 3e cycle. Il s'appuie sur des projets de recherche avec l'ESTEC et le CNES, sur le controle d'attitude d'un satellite, le probleme de transfert orbital en temps minimal, et le probleme de rentree atmospherique d'une navette spatiale. Une premiere partie est consacree a une introduction a la mecanique celeste, et la seconde au controle des vehicules spatiaux. Un dernier chapitre concerne les methodes numeriques dites indirectes, developpees a partir des etudes des auteurs: methode de tir et algorithmes de calcul des points conjugues.

Table of contents


Jeyakumar, V.; Rubinov, A.M. (Eds.)

Continuous Optimization
Current Trends and Modern Applications

Series: Applied Optimization, Vol. 99
2005, XVIII, 450 p., Hardcover
ISBN: 0-387-26769-7

About this book

The search for the best possible performance is inherent in human nature. Individuals, enterprises and governments are seeking optimal, that is, the best possible, solutions for problems that they meet. Evidently, continuous optimization plays an increasingly significant role in everyday management and technical decisions in science, engineering and commerce.

The collection of 16 refereed papers in this book covers a diverse number of topics and provides a good picture of recent research in continuous optimization. The first part of the book presents substantive survey articles in a number of important topic areas of continuous optimization. Most of the papers in the second part present results on the theoretical aspects as well as numerical methods of continuous optimization. The papers in the third part are mainly concerned with applications of continuous optimization.

Hence, the book will be an additional valuable source of information to faculty, students, and researchers who use continuous optimization to model and solve problems.

Table of contents

Preface.- PART I. SURVEYS.- Linear Semi-infinite Optimization: Recent Advances (M.A. Goberna).- Some Theoretical Aspects of Newton's Method for Constrained Best Interpolation (H.-D. Qi).- Optimization Methods in Direct and Inverse Scattering (A.G. Ramm, S. Gutman).- On Complexity of Stochastic Programming Problems (A. Shapiro, A. Nemirovski).- Nonlinear Optimization in Modeling Environments: Software Implementations for Compilers, Spreadsheets, Modeling Languages, and Integrated Computing Systems (J.D. Pinter).- Supervised Data Classification via Max-min Separability (A.M. Bagirov, J. Ugon).- A Review of Applications of the Cutting Angle Methods (G. Beliakov).- PART II. THEORY AND NUMERICAL METHODS.- A Numerical Method for Concave Programming Problems (A. Chinchuluun, E. Rentsen, P.M. Pardalos).- Convexification and Monotone Optimization (X. Sun, J. Li, D. Li).- Generalized Lagrange Multipliers for Nonconvex Directionally Differentiable Programs (N. Dinh, G.M. Lee, L.A. Tuan).- Slice Convergence of Sums of Conves Functions in Banach Spaces and Saddle Point Convergence (R. Wenczel, A. Eberhard).- Topical Functions and Their Properties in a Class of Ordered Banach Spaces (H. Mohebi).- PART III. APPLICATIONS.- Dynamical Systems Described by Relational Elasticities with Applications (M. Mammadov, A. Rubinov, J. Yearwood).- Impulsive Control of a Sequence of Rumour Processes (C. Pearce, Y. Kaya, S. Belen).- Minimization of the Sum of Minima of Conves Functions and Its Application to Clustering (A. Rubinov, N. Soukhorokova, J. Ugon).- Analysis of a Practical Control Policy for Water Storage in Two Connected Dams (P. Howlett, J. Piantadosi, C. Pearce).


Tomassini, Marco

Spatially Structured Evolutionary Algorithms
Artificial Evolution in Space and Time

Series: Natural Computing Series
2005, XIV, 192 p., Hardcover
ISBN: 3-540-24193-0

About this textbook

Evolutionary algorithms (EAs) is now a mature problem-solving family of heuristics that has found its way into many important real-life problems and into leading-edge scientific research. Spatially structured EAs have different properties than standard, mixing EAs. By virtue of the structured disposition of the population members they bring about new dynamical features that can be harnessed to solve difficult problems faster and more efficiently. This book describes the state of the art in spatially structured EAs by using graph concepts as a unifying theme. The models, their analysis, and their empirical behavior are presented in detail. Moreover, there is new material on non-standard networked population structures such as small-world networks.

The book should be of interest to advanced undergraduate and graduate students working in evolutionary computation, machine learning, and optimization. It should also be useful to researchers and professionals working in fields where the topological structures of populations and their evolution plays a role.

Written for:

Advanced undergraduate and graduate students, researchers and professionals

Keywords:
Evolutionary computing
Parallel and distributed evolutionary computing
Populations on networks
Structured populations



Editor(s): R. V. Gurjar, Kirti Joshi, N. Mohan Kumar, et al

Elliptic Curves

ISBN: 81-7319-502-1
Publication Year: December 2005
Pages: 400
Binding: Hard Back
Dimension: 160mm x 240mm

About the book

These notes constitute a lucid introduction to gElliptic Curvesh, one of the central and vigorous areas of current mathematical research. The subject has been studied from diverse view points --- analytic, algebraic and arithmetical; these notes offer the reader glimpses of all three aspects and presents some of the basic important theorems in all of them. The first part introduces a little of the theory of Riemann surfaces and goes on to the study of tori and their projective embeddings as cubics. This part ends with a discussion of the identification of the moduli space of complex tori with the quotient of the upper half plane by the modular groups. The second part handles the algebraic geometry of elliptic curves. It begins with a rapid introduction to some basic algebraic geometry and then focuses on elliptic curves. The Rieman-Roch theorem and the Riemann hypothesis for elliptic curves are proved and the structure of endomorphism ring of an elliptic curve are described. The third and last part is on the arithmetic of elliptic curves over Q. The Mordell-Weil theorem, Mazur's theorem on torsion in rational points of an elliptic curve over Q, theorems of Thue and Siegel are among the results which are presented. There is a brief discussion of theta functions, Eisenstein series and cusp forms with an application to representation of natural numbers as sums of squares. The notes end with the formulation of the Birch and Swinnerton-Dyer conjectures. There is an additional brief chapter (Appendix C) written in July 2004 by Kirti Joshi describing some developments since the original notes were written up in the present form in 1992.

Table of content

Preface / Part I: Analytic Theory of Elliptic Curves: Doubly periodic functions / Riemann Surfaces / Tori / Isomorphism of Tori and the j invariant / All Smooth Cubics are Complex Tori / Moduli / Part II: Geometry of Elliptic Curves: Some Results from Commutative Algebra / Varieties / Further Properties of Varieties / Intersection Theory for Plane Curves / Geometry of Curves / Geometry of Elliptic Curves / Structure of Endomorphisms of Elliptic Curves / Part III: Arithmetic of Elliptic Curves: Rational Points on Curves / The Mordell-Weil Theorem for Elliptic Curves over bf Q / Computing The Mordell-Weil Group / Integer Points, and the Theorems of Thue and Siegel / Representation of Numbers by Squares / The Conjecture of Birch and Swinnerton-Dyer / Part IV: Appendices / Bibliography.

Author(s): K. R. Parthasarathy

Quantum Computation, Quantum Error Correcting Codes
and Information Theory

ISBN: 81-7319-688-5
Publication Year: October 2005
Pages: 120
Binding:
Dimension: 160mm x 240mm
Weight:





Table of content

Preface / Quantum Probability / Quantum Gates and Circuits / Universal Quantum Gates / The Fourier Transform and an Application / Order Finding / Shor's Algorithm / Quantum Error Correcting Codes / Classical Information Theory / Quantum Information Theory.

Audience

Graduate Students and Researchers