David Acheson, Fellow, Jesus College, Oxford
A Journey into Mathematics
(Hardback )
0-19-851623-1
Publication date: 16 May 2002
200 pages, 92 line 23 halftones, 173 * 121mm
Established author with entertaining writing style
Lucid and interesting presentation of mathematics at a level accessible to non-experts
Develops the reader's knowledge at a gradual and digestible pace
Entertaining illustrations, photographs and drawings all of which perfectly complement the text
Description
This text provides an extremely welcoming introduction to mathematics, designed to give non-mathematicians and mathematicians alike a quick and entertaining overview of the subject. Excellent writing from an established mathematics author is accompanied by numerous illustrations and sketches, to provide a compulsive and fascinating read.
Readership: Mathematics, physics, engineering and computer science students from A-level to postgraduate level, interested lay readers, school teachers, parents. This book is designed to make mathematics accessible, interesting and entertaining to the non-expert.
Contents/contributors
1 1089 and All That
2 "In Love with Geometrie"
3 But ... that's Absurd ...
4 The Trouble with Algebra
5 The Heavens in Motion
6 All Change!
7 On Being as Small as Possible
8 "Are We Nearly There?"
9 A Brief History of pi
10 Good Vibrations
11 Great Mistakes
12 What is the Secret of All Life?
13 e=2.718 ...
14 Chaos and Catastrophe
15 Not Quite the Indian Rope Trick
16 Real or Imaginary?
Paul Garthwaite, Department of Statistics, Open University, UK, Ian Jolliffe, Professor of Statistics, University of Aberdeen, and Byron Jones, Director, Research Statistics Unit (UK), GlaxoSmithKline, Harlow, UK
Statistical Inference
(Hardback )
0-19-857226-3
Publication date: 6 June 2002
384 pages, 234mm x 156mm
Unique combination of topics combining traditional inference with recent developments.
Many exercises at varying levels of difficulty.
Rigorous approach to the topic.
Description
Statistical inference is the foundation on which much of statistical practice is built. This book covers the topic at a level suitable for students and professionals who need to understand these foundations.
Readership: Final year undergraduates and graduates in statistics.
Contents/contributors
1 Introduction
2 Properties of estimators
3 Maximum likelihood and other methods of estimation
4 Hypothesis testing
5 Interval estimation
6 The decision theory approach to inference
7 Bayesian inference
8 Non-parametric and robust inference
9 Computationally intensive methods
10 Generalised linear models
Terry Lyons, Wallis Professor of Mathematics, University of Oxford and St Anne's College, and Zhongmin Qian, Charge de recherche, CNRS (France) and University Paul-Sabatier
System Control and Rough Paths
(Hardback )
0-19-850648-1
Publication date: 27 June 2002
Clarendon Press 250 pages, none, 234mm x 156mm
Series: Oxford Mathematical Monographs
A major research monograph
Provides a systematic account of pioneering work in probability and analysis
Highly original mathematical development in the solution of control problems
Allows for completely new classes of stochastic differential equations where the noise is no longer of Brownian or Poisson type
Description
This book describes a completely novel mathematical development which has already influenced probability theory, and has potential for application to engineering and to areas of pure mathematics.
Readership: Graduate students and researchers in probability and mathematical control theory and engineers with a mathematical background.
Contents/contributors
0 Preface
1 Introduction
2 Lipschitz paths
3 Rough paths
4 Brownian rough paths
5 Path integration along rough paths
6 Universal limit theoem
7 Vector fields and Flow Equations
Shie Qian, National Instruments
Introduction to Time-Frequency and Wavelet Transforms
Copyright 2002, 300 pp.
Paper format
ISBN 0-13-030360-7
The practical, heuristic introduction to time-frequency and wavelet analysis.
Heuristic approach focuses on numerical implementation and real-world applications
Presents algorithms found in NI's Signal Processing Toolset and other commercial software
Gabor expansions, linear time-variant filters, and key wavelet transform concepts
Bilinear time-frequency representation
Combining time-frequency and wavelet decomposition
In Introduction to Time-Frequency and Wavelet Transforms, Shie Qian takes a heuristic approach to time-frequency and wavelet analysis, drawing upon the engineer's intuition?not abstract equations. Qian presents the essence of the subject: the information needed to identify applications, choose approaches, and apply time-frequency and wavelet analysis successfully.
Each chapter starts with introductory background, moves to theoretical derivation, and concludes with practical numerical implementation. All algorithms can be found in commercial software, such as the Signal Processing Toolset from National Instruments, and all examples are available for download at NI's Web site. The book presents multiple real-world applications collected from NI's customers?many published here for the first time. Coverage includes:
Discrete, period discrete, and orthogonal-like Gabor expansions
Short-time Fourier transforms
Fast algorithms for computing dual functions
Linear time-variant filters
Fundamental wavelet transform concepts
Bilinear time-frequency representations, including Wigner-Ville distribution and decomposition
Cohen's Class and other time-dependent power spectra
Combining time-frequency and time-scale (wavelet) decomposition
If you've wanted to utilize time-frequency and wavelet analysis, but you've been deterred by highly mathematical treatments, Introduction to Time-Frequency and Wavelet Transforms is the accessible, practical guide you've been searching for.
Robert L. Mason and John C. Young
Multivariate Statistical Process Control with Industrial Applications
ASA-SIAM Series on Statistics and Applied Probability 9
This applied, self-contained text provides detailed coverage of the practical aspects of multivariate statistical process control (MVSPC)based on the application of Hotelling's T2 statistic. MVSPC is the application of multivariate statistical techniques to improve the quality and productivity of an industrial process. The authors, leading researchers in this area who have developed major software for this type of charting procedure, provide valuable insight into the T2 statistic. Intentionally including only a minimal amount of theory, they lead readers through the construction and monitoring phases of the T2 control statistic using numerous industrial examples taken primarily from the chemical and power industries. These examples are applied to the construction of historical data sets to serve as a point of reference for the control procedure and are also applied to the monitoring phase, where emphasis is placed on signal location and interpretation in terms of the process variables.
Specifically devoted to the T2 methodology, Multivariate Statistical Process Control with Industrial Applications is the only book available that concisely and thoroughly presents such topics as how to construct a historical data set; how to check the necessary assumptions used with this procedure; how to chart the T2 statistic; how to interpret its signals; how to use the chart in the presence of autocorrelated data; and how to apply the procedure to batch processes. The book comes with a CD-ROM containing a 90-day demonstration version of the QualStatEmultivariate SPC software specifically designed for the application of T2 control procedures. The CD-ROM is compatible with Windows® 95, Windows® 98, Windows® Me Millennium Edition, and Windows NT® operating systems.
Audience
Analysts seeking to use Hotelling's T2 as a control statistic for a multivariate industrial process will find this consolidated reference invaluable. The book will show readers how to establish and utilize the multivariate control procedure based on Hotelling's T2 statistic and to apply it to an industrial process. Readers should be familiar with univariate control chart construction and monitoring procedures, but need not be informed about the application of multivariate control procedures based on the T2 statistic.
Contents
Preface; Chapter 1: Introduction to the T2 Statistic; Chapter 2: Basic Concepts about the T2 Statistic; Chapter 3: Checking Assumptions for Using a T2 Statistic; Chapter 4: Construction of Historical Data Set; Chapter 5: Charting the T2 Statistic in Phase I; Chapter 6: Charting the T2 Statistic in Phase II; Chapter 7: Interpretation of T2 Signals for Two Variables; Chapter 8: Interpretation of T2 Signals for the General Case; Chapter 9: Improving the Sensitivity of the T2 Statistic; Chapter 10: Autocorrelation in T2 Control Charts; Chapter 11 The T2 Statistic and Batch Processes; Appendix: Distribution Tables; Bibliography; Index.
2001 / xiii + 263 pages / Hardcover / ISBN 0-89871-496-6
Paolo Toth and Daniele Vigo
The Vehicle Routing Problem
Discrete Mathematics and Applications 9
In the field of combinatorial optimization problems, the Vehicle Routing Problem (VRP) is one of the most challenging. Defined more than 40 years ago, the problem involves designing the optimal set of routes for fleets of vehicles for the purpose of serving a given set of customers. Interest in VRP is motivated by its practical relevance as well as its considerable difficulty.
The Vehicle Routing Problem covers both exact and heuristic methods developed for the VRP and some of its main variants, emphasizing the practical issues common to VRP. The book is composed of three parts containing contributions from well-known experts. The first part covers basic VRP, known more commonly as capacitated VRP. The second part covers three main variants of VRP: with time windows, backhauls, and pickup and delivery. The third part covers issues arising in real-world VRP applications and includes both case studies and references to software packages.
Audience
This book will be of interest to both researchers and graduate level students in the communities of operations research and mathematical sciences. It focuses on a specific family of problems while offering a complete overview of the effective use of the most important techniques proposed for the solution of hard combinatorial problems. Practitioners will find this book particularly useful. Readers need a basic knowledge of the main methods for the solution of combinatorial optimization problems.
Contents
List of Contributors; Preface; Chapter 1: An Overview of Vehicle Routing Problems; Part I: Capacitated Vehicle Routing Problems. Chapter 2: Branch-and-Bound Algorithms for the Capacitated VRP; Chapter 3: Branch-and-Cut Algorithms for the Capacitated VRP; Chapter 4: Set-Covering-Based Algorithms for the Capacitated VRP; Chapter 5: Classical Heuristics for the Capacitated VRP; Chapter 6: Metaheuristics for the Capacitated VRP; Part II: Important Variants of the Vehicle Routing Problem. Chapter 7: VRP with Time Windows; Chapter 8: VRP with Backhauls; Chapter 9: VRP with Pickup and Delivery; Part III: Applications and Case Studies. Chapter 10: Routing Vehicles in the Real World: Applications in the Solid Waste, Beverage, Food, Dairy, and Newspaper Industries; Chapter 11: Capacitated Arc Routing Problem with Vehicle-Site Dependencies: The Philadelphia Experience; Chapter 12: Inventory Routing in Practice; Chapter 13: Routing Under Uncertainty: An Application in the Scheduling of Field Service Engineers; Chapter 14: Evolution of Microcomputer-Based Vehicle Routing Software: Case Studies in the United States; Index.
2001 / xviii + 367 pages / Hardcover / ISBN 0-89871-498-2