Paul Murrell The University of Auckland, New Zealand

R Graphics

Series: Chapman & Hall/CRC Computer Science & Data Analysis Volume: 5

ISBN: 158488486X
Publication Date: 7/27/2005
Number of Pages: 320

Answers such a need that the field of statistics is already abuzz with anticipation
Contains numerous code examples as well as the plots that the examples produce
Offers readers an online resource with all the code and datasets used in the book as well as future developments
Includes an intro to R graphics that will fill in many of the gaps that have limited users
Provides base information that will remain current for years to come

In today's world of statistical computing, R is the program of choice for tens of thousands of statisticians, which is why R Graphics is sure to become an instant classic. Considered the leading expert on the use of R graphics, Murrell gives statisticians the first complete reference on the R graphical system. An in-depth text that takes nothing for granted, it helps both neophytes and seasoned statisticians master the intricacies of R. No other published volume contains information on R's grid graphics, and much of the information the author provides is original material not to be found anywhere else. Ahead of the curve, this volume defines the direction for the future of statistical graphical development.

Table of Contents

A Brief Introduction to R. An Introduction to General R Graphic Features. The "Base" Graphic System of R: Traditional S Graphics. The Power and Flexibility of Grid Graphics. Building on Top of the Base of Grid Graphics: Trellis Graphics and New Graphics Functions.

Leszek Gasinski Jagiellonian University, Krakow, Poland
Nikolaos S Papageorgiou National Technical University, Athens, Greece

Nonlinear Analysis

Series: Mathematical Analysis and Applications
ISBN: 1584884843
Publication Date: 7/27/2005
Number of Pages: 968
Availability: In Stock

Features variety of topics and methods covering a broad spectrum, from theoretical to applied in a self-contained treatment
Covers recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles
Provides foundations of applied areas such as boundary value problems, evolution equations, optimization, optimal control, and mechanics
Includes detailed bibliography and mathematical appendix

Covering a broad range of topics such as measure theory, functional analysis, and applications of mathematical analysis, this book features a variety of theoretical and applied methods. It provides recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. Foundations of applied areas including boundary value problems, evolution equations, optimization, optimal control, and mechanics, are provided in detail. Additional topics present Hausdorff theory, LeBesgue-Bochner and Sobolev spaces, and the spectral properties of the p-Laplacian. With a detailed bibliography and appendix, this is an accessible reference for graduate students and researchers.

Table of Contents

Hausdorff Measures and Capacity. Lebesgue-Bochner and Sobolev Spaces. Nonlinear Operators and Young Measures. Smooth and Nonsmooth Analysis and Variational Principles. Critical Point Theory. Eigenvalue Problems and Maximum Principles. Fixed Point Theory.

Pao-Liu Chow Wayne State University, Detroit, Michigan, USA

Stochastic Partial Differential Equations

Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
ISBN: 1584884436
Publication Date: 12/26/2005
Number of Pages: 320

Introduces stochastic partial differential equations through physical origins and defines stochastic integers
Provides parabolic-Ito type equations, providing enough mathematical detail for serious researchers
Includes applications from various fields such as geophysical forecasting, environmental modeling, and noise impact

This groundbreaking text is the first ever devoted to stochastic partial differential equations, a topic useful in many fields of science, statistics, and engineering. It introduces readers to modeling fluid and other complex physics problems, control problems, and asymptotic analysis of stochastic PDEs using the parabolic-Ito class of equations. It also covers stochastic integrals and existence and uniqueness theorems. Application examples are drawn from geophysical forecasting, environmental modeling, turbulence and noise impact, as well as models in engineering and finance fields. This book provides the mathematical means needed to deal with complex physics and engineering problems.

Table of Contents

Introduction to Stochastic Partial Differential Equations. Stochastic Evolution Equations: Existence and Uniqueness. Asymptotic Behavior of Solutions. Some Connections to Infinite-Dimensional Analysis.

Ian Parberry University of North Texas, Denton, Texas, USA

The Tao of Algorithms: An Introduction to Algorithms and Data Structures


Series: Discrete Mathematics and Its Applications
ISBN: 1584884193
Publication Date: 3/15/2006
Number of Pages: 506

Introduces algorithms in a clear, engaging manner while maintaining mathematical rigor
Includes more than 400 exercises and 200 figures
Promotes a philosophy of efficient algorithm design

Ideal for readers who find other algorithm books overly technical, The Tao of Algorithms: An Introduction to Algorithms and Data Structures is engaging and informal, yet maintains mathematical rigor throughout. Aimed at beginning graduate students and advanced undergraduate students, it also functions as a sound reference guide for mathematics and engineering professionals. It covers data structures and algorithm analysis and design, includes 200 illustrations, and offers 400 practice exercises. Each chapter begins with a simple example and general principles before proceeding to more difficult algorithms. The author promotes a philosophy of efficient algorithm design for the practical programmer.

Thomas B Barker Rochester Institute of Technology, New York

Quality By Experimental Design, 3rd Edition

Series: Statistics: Textbooks and Monographs Volume: 183
ISBN: 0824723090
Publication Date: 6/22/2005
Number of Pages: 600

Uses a conversational approach for an easy-to-use and understand introduction for newcomers
Reflects the advances made in the field over the past decade since the second edition appeared
Includes new topics on inference, more realistic practice problems, examples using Minitab?, and a large dose of robust design philosophy and methods (the Taguchi Approach)
Contains valuable exercises, templates, worksheets, case studies, and illustrations to enhance the key points

Continuing a best-selling tradition, the third edition of Quality by Experimental Design uses the same easy-to-read and understand style that made the previous two editions so successful with both newcomers and experienced readers. With emphasis on the philosophy and technique for setting up experiments, the book allows increased efficiency, timely accomplishment of goals, visualization through graphical and numerical representation, and control of the experiment through careful planning. This updated and expanded edition includes new topics on inference, more realistic practice problems, examples using Minitab? and a large dose of robust design philosophy and methods (the Taguchi Approach).

Table of Contents

Foreword. Preface. How to Use This Book. The Philosophy of Experimentation. Statistical Experimental Design. Sorting the Signal from the Noise. The Derivation of Empirical Equations from Statistically Designed Experiments. Utilization of Empirical Equations. Statistical Tables. Index.