1. Edition - February 2005
65.- Euro / 104.- SFR
2005. XII, 241 Pages, Softcover
ISBN 3-527-40567-4 - Wiley-VCH, Berlin
Short description
The book describes the geometry of space-time that is in particular the theory of special relativity, with all the questions and issues which are difficult to comprehend when explained by way of formulas only. It shows that the geometry of space-time is indeed geometry, with actual constructions which we are familiar with from Euclidean geometry and which admit exact demonstrations and proofs. The relation to projective geometry is presented and used to illustrate the starting points of general relativity.
The book is not intended as a textbook with the aim to introduce the reader to the theory of relativity in order to enable him to calculate formally. Its aim is rather to show the connection with synthetic geometry. The formal mathematics behind the constructions is provided in the appendices.
The book is written at an introductory (undergraduate) level. The kind of presentation is new so that teaching staff will learn from it, too. In the many existing books on Special Relativity, the connection to elementary synthetic geometry is not used at all. In the present book, however, the formal introduction of these books is complemented with the (synthetic) geometric aspect.
From the contents
1 Introduction
2 The World of Space and Time
2.1 Time-tables
2.2 Surveying space-time
2.3 Physical prerequisites of geometry
3 Reflection and Collision
3.1 Geometry and reflection
3.2 The reflection of mechanical motion
4 The Relativity Principle of Mechanics and Wave Propagation
5 Relativity Theory and its Paradoxes
5.1 Pseudo-Euclidean geometry
5.2 Einstein's mechanics
5.3 Energy
5.4 Kinematic peculiarities .
5.5 Aberration and Fresnel's paradox .
5.6 The net
5.7 Faster than light
6 The Circle Disguised as Hyperbola
7 Curvature
7.1 Spheres and hyperbolic shells .
7.2 The universe
8 The Projective Origin of the Geometries of the Plane
9 The Nine Geometries of the Plane
10 General Remarks
10.1 The theory of relativity .
10.2 Geometry and physics
A Reections
B Transformations
B.1 Coordinates
B.2 Inertial reference systems
B.3 Riemannian spaces, Einstein worlds
C Projective Geometry
C.1 Algebra .
C.2 Projective maps
C.3 Conic sections
D The Transition from the Projective to the Metrical Plane
D.1 Polarity
D.2 Reection
D.3 Velocity space
D.4 Circles and peripheries
D.5 Two examples
E The Metrical Plane
E.1 Classi_cation
E.2 The Metric
Exercises
References
Glossary
Series: Statistics: Textbooks and Monographs Volume: 181
ISBN: 0824757548
Publication Date: 3/29/2005
Number of Pages: 416
Communicates the development of essential aspects of theory and methods
Provides an up-to-date treatment of both classical and modern sampling design and estimation methods along with sampling methods for hard-to-detect populations
Covers all aspects of obtaining, interpreting, and using sample data
Aids researchers in pursuing further studies in areas of specific interest by bringing together widely scattered materials
Includes many techniques not covered adequately in most books
Since publication of the first edition in 1992, the field of survey sampling has grown considerably. This new edition of Survey Sampling: Theory and Methods has been updated to include the latest research and the newest methods. The authors have undertaken the daunting task of surveying the sampling literature of the past decade to provide an outstanding research reference. Starting with the unified theory, the authors explain in the clearest of terms the subsequent developments. In fact, even the most modern innovations of survey sampling, both methodological and theoretical, have found a place in this concise volume.
See what's new in the Second Edition:
? Descriptions of new developments
? A wider range of approaches to common problems
? Increased coverage of methods that combine design and model-based approaches, adjusting for sample errors
Covering the current state of development of essential aspects of theory and methods of survey sampling, the authors have taken great care to avoid being dogmatic and eschew taking sides in their presentation. They have created tool for graduate and advanced level students and a reference for researchers and practitioners that goes beyond the coverage found in most textbooks.
Table of Contents
Foreword
Preface to the Second Edition
Preface to the First Edition
ESTIMATION IN FINITE POPULATIONS: A UNIFIED THEORY
Introduction
Elementary Definitions
Design-Based Inference
Sampling Schemes
Controlled Sampling
STRATEGIES DEPENDING ON AUXILIARY VARIABLES
Representative Strategies
Examples of Representative Strategies
Estimation of the Mean Square Error
Estimation of Mp(t ) for Specific Strategies
Calibration
CHOOSING GOOD SAMPLING STRATEGIES
Fixed Population Approach
Superpopulation Approach
Estimating Equation Approach
Minimax Approach
PREDICTORS
Model-Dependent Estimation
Prior Distribution-Based Approach
ASYMPTOTIC ASPECTS IN SURVEY SAMPLING
Increasing Populations
Consistency, Asymptotic Unbiasedness
Brewer's Asymptotic Approach
Moment-Type Estimators
Asymptotic Normality and Confidence Intervals
APPLICATIONS OF ASYMPTOTICS
A Model-Assisted Approach
Asymptotic Minimaxity
DESIGN- AND MODEL-BASED VARIANCE ESTIMATION
Ratio Estimator
Regression Estimator
HT Estimator
GREG Predictor
Systematic Sampling
MULTISTAGE, MULTIPHASE, AND REPETITIVE SAMPLING
Variance Estimators Due to Raj and Rao in Multistage Sampling: More Recent Developments
Double Sampling with Equal and Varying Probabilities: Design-Unbiased and Regression Estimators
Sampling on Successive Occasions with Varying Probabilities
RESAMPLING AND VARIANCE ESTIMATION IN COMPLEX SURVEYS
Linearization
Jackknife
Interpenetrating Network of Subsampling and Replicated Sampling
Balanced Repeated Replication
Bootstrap
SAMPLING FROM INADEQUATE FRAMES
Domain Estimation
Poststratification
Estimation from Multiple Frames
Small Area Estimation
Conditional Inference
ANALYTIC STUDIES OF SURVEY DATA
Design Effects on Categorical Data Analysis
Regression Analysis from Complex Survey Data
RANDOMIZED RESPONSE
SRSWR for Qualitative and Quantitative Data
A General Approach
INCOMPLETE DATA
Nonsampling Errors
Nonresponse
Callbacks
Weight Adjustments
Use of Superpopulation Models
Adaptive Sampling and Network Sampling
Imputation
EPILOGUE
Appendix
References
List of Abbreviations, Special Notations,
and Symbols
Author Index
Subject Index
0-19-852413-7
Publication date: 24 March 2005
572 pages, numerous line figures, 234mm x 156mm
Series: Oxford Statistical Science Series
Reviews
Review from previous edition `... a carefully written book containing many pearls of statistical wisdom ... this account is one that would be difficult to better.' Statistics in Medicine
Description
Comprehensive treatment of the theory of statistical modelling with generalised linear models
Contains applications of the theory to practical problems with numerous examples
Applications using the widely available package GLIM4 integrated in the text
Contains three wholly new chapters on mixture and random effects models
New to this edition
Takes into account new developments in both statistical software and statistical modelling
Expanded discussion of statistical theory
Three new chapters on mixture and random effects models
This new edition of the successful multi-disciplinary text Statistical Modelling in GLIM takes into account new developments in both statistical software and statistical modelling. Including three new chapters on mixture and random effects models, it provides a comprehensive treatment of the theory of statistical modelling with generalised linear models with an emphasis on applications to practical problems and an expanded discussion of statistical theory. A wide range of case studies is also provided, using the normal, binomial, Poisson, multinomial, gamma, exponential and Weibull distributions.
This book is ideal for graduates and research students in applied statistics and a wide range of quantitative disciplines, including biology, medicine and the social sciences. Professional statisticians at all levels will also find it an invaluable desktop companion.
Readership: Ideal for graduates and research students in applied statistics and a wide range of quantitative disciplines including biology, medicine and the social sciences.
Contents
Preface
1 Introducing GLIM4
2 Statistical modelling and inference
3 Regression and analysis of variance
4 Binary response data
5 Multinomial and Poisson response data
6 Survival data
7 Finite mixture models
8 Random effect models
9 Variance component models
References
Index
EEmphasizes the algorithmic side of computer graphics, with a practical
application focus, and provides usable techniques for real world problems.
EServes as an introduction to the techniques that are hard to obtain outside of an intensive computer graphics work environment.
ESophisticated and novel programming techniques are implemented in C using the OpenGL library, including: coverage of color and lighting; texture mapping; blending and compositing; antialiasing; image processing; special effects; natural phenomena; artistic and non-photorealistic techniques, and many others.
ECode fragments are used in the book, and full blown example programs for virtually every algorithm are available at www.mkp.com/opengl
Reviews
"I've been using the techniques in this book since their introduction at SIGGRAPH years ago. Those notes, transformed into this superb book, have been the quintessential reference for advanced techniques in OpenGL. Every corner of the subject is analyzed, with enough detail for the expert, but also very readable for the novice. Congratulations to David and Tom for providing an excellent OpenGL reference!"
-Dave Shreiner, Silicon Graphics, Inc., co-author of OpenGL Programming Guide
"You may think you know OpenGL. As a software engineer with ten years of OpenGL experience, I thought I did. However, this book quickly convinced me that I was very much mistaken. David Blythe and Tom McReynolds have taught me much that I did not know, and in the process improved my company's products.
This is a book for computer graphics enthusiasts, both amateur and professional. If you use OpenGL in your work, Advanced Graphics Programming using OpenGL will be your constant companion. Be sure to get your own copy, however - my copy is not leaving my desk under any circumstances!"
-Ian Ashdown, President, byHeart Consultants Limited
Description
Today truly useful and interactive graphics are available on affordable computers. While hardware progress has been impressive, widespread gains in software expertise has come more slowly. Information about advanced techniques?beyond those learned in introductory computer graphics texts?is not as easy to come by as inexpensive hardware.
This book brings the graphics programmer beyond the basics and introduces them to advanced knowledge that is hard to obtain outside of an intensive CG work environment. The book is about graphics techniques?those that donft require esoteric hardware or custom graphics libraries?that are written in a comprehensible style and do useful things. It covers graphics that are not covered well in your old graphics textbook. But it also goes further, teaching you how to apply those techniques in real world applications, filling real world needs.
Contents
Part I Computer Graphics Intro and OpenGL: Concepts; Geometry Representation & Modeling; 3D Transformations; Color, Lighting, and Surface Attributes; Rasterization; Images as Primitives; OpenGL Virtues; Image Processing; Texture Mapping; Window System Integration; Hardware Implementations of the Pipeline. Part II Basic Techniques: Multiple Rendering Passes; Texture Mapping; Lighting; Blending and Compositing; Transparency; Antialiasing; Image Processing; Transform Techniques. Part III: Application Specific Techniques: CAD & Modeling; Scene Realism; Natural Phenomena; Special Effects; Illustration and Artistic Techniques; Scientific Visualization; Performance Measurement & Tuning; Visual Simulation and Entertainment. Appendices: Portability Considerations; OpenGL Extensions
Readership: This book will interest advanced level computer graphics programmers who need to produce realistic graphic images and anyone interested in the practical application of advanced rendering techniques. This includes: professional game and game engine developers; real-time graphics and simulation developers; creators of movie special effects; computer graphics, geometric modeling, CAGD, animation, and visualization programmers . Audience will be technically competent with a graduate-level education or equivalent industrial experience.
Series: The Morgan Kaufmann Series in Computer Graphics and Geometric Modeling
ISBN: 1-55860-659-9 Book/Hardback
Line Illustrations: 107 Halftones: 27
Measurements: 7 1/2 X 9 1/4 in
Pages: 672
Publication Date: 2 February 2005