Prem K Kythe University of New Orleans, Louisiana, USA
Michael R Schaferkotter Sverdrup Technology, Inc., Stennis Space Center, Louisiana,

Handbook of Computational Methods for Integration

ISBN: 1-58488-428-2
Publication Date: 8/15/2004
Number of Pages: 512

Includes a CD-Rom containing a database of all integration formulas, computational codes and examples
Presents topics never before covered in this type of book, such as wavelets, the Coates Algorithm, and more
Provides practical information to help the reader decide which technique to use based on the application involved, ease of use, and stability

This practical handbook covers the solution of problems of numerical integration, which is important in all fields of scientific endeavor. It discuss the techniques briefly, stating both their strengths and weaknesses, then provides the useable code in Mathematica, MATLAB, and FORTRAN 90. The authors also provide practical information to help readers decide which technique to use based on the application involved, ease of use, and stability. The book includes topics typically omitted in other books on this subject, such as wavelets, integral equations, Coates algorithm, Rish's Theorem, and Monte Carlo methods. A CD ROM containing appropriate codes is included with the text.

Joseph Y-T. Leung New Jersey Institute of Technology, Newark, New Jersey, USA

Handbook of Scheduling:
Algorithms, Models, and Performance Analysis

Series: Chapman & Hall/CRC Computer & Information Science Series Volume: 1

ISBN: 1-58488-397-9
Publication Date: 4/15/2004
Number of Pages: 1120

" Provides full coverage of the most recent advances in scheduling, gathering authors and topics from across the fields of management, industrial engineering, operations research, and computer science
" Examines job shop, flow shop, open shop, and cycle shop problems
" Covers five major objective functions in classical scheduling theory: makespan, maximum lateness, total weighted completion time, total weighted number of late jobs, and total weighted tardiness
" Reviews analysis of the coordination ratio, which is the ratio of the worst possible Nash equilibrium and the overall optimum
" Introduces constraint programming (CP) and a new vehicle routing heuristic known as Very Large Scale Neighborhood Search
" Discusses batch scheduling problems in the process industry in which time-based objective functions are minimized

Researchers in management, industrial engineering, operations, and computer science have intensely studied scheduling for more than 50 years, resulting in an astounding body of knowledge in this field. Handbook of Scheduling: Algorithms, Models, and Performance Analysis, the first handbook on scheduling, provides full coverage of the most recent and advanced topics on the subject. It assembles researchers from all relevant disciplines in order to facilitate cross-fertilization and create new scheduling insights.

The book comprises six major parts, each of which breaks down into smaller chapters:

" Part I introduces materials and notation, with tutorials on complexity theory and algorithms for the minimization of makespan, total completion time, dual objectives, maximum lateness, the number of late jobs, and total tardiness.
" Part II is devoted to classical scheduling problems.
" Part III explores scheduling models that originate in computer science, operations research, and management science.
" Part IV examines scheduling problems that arise in real-time systems, focusing on meeting hard deadline constraints while maximizing machine utilization.
" Part V discusses stochastic scheduling and queueing networks, highlighting jobs that are not deterministic.
" Part VI covers applications, discussing scheduling problems in airline, process, and transportation industries, as well as in hospitals and educational institutions.

Matthew P Coleman Fairfield University, Fairfield, Connecticut, USA

An Introduction to Partial Differential Equations with MATLAB

Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

ISBN: 1-58488-373-1
Publication Date: 7/26/2004
Number of Pages: 512

Provides a separate chapter on the use of computational methods
Includes MATLAB throughout the book in the form of projects and starred problems to provide a computational flavor
Offers motivation by explaining how the need for the mathematics developed and then discussing the mathematics involved

An Introduction to Partial Differential Equations with MATLAB is a textbook that features MATLAB to aid with problem solving. It includes carefully explained central ideas of the subject, derivations of equations, and historical accounts. It also contains a computational chapter that focuses on the use of finite differences-the numerical method most widely used by engineers. MATLAB is integrated throughout the book in chapter projects that present the problem to be solved along with instructions on how to use the MATLAB software. The MATLAB routines used in the book are provided for download from the Internet. Prerequisites for the book are courses in calculus and differential equations.

Julian J Faraway University of Michigan, Ann Arbor, Michigan, USA

Linear Models with R

Series: Texts in Statistical Science Series

ISBN: 1-58488-425-8
Publication Date: 7/26/2004
Number of Pages: 256

Emphasizes the practice or regression and analysis variance
Presents a unique coverage of model uncertainty not often found in this type of book
Provides many applied examples from the fields of medicine, business, and engineering
Emphasizes data analysis through the use of the R programming language

This textbook focuses on the practice of regression and analysis of variance. Readers will learn which methods are available and the various situations in which they can be applied. Numerous examples clarify the use of the techniques and demonstrate what conclusions can be made. The author places less emphasis on mathematical theory, partly because some prior knowledge is assumed and partly because the issues are better tackled elsewhere. An interesting aspect of this book is the author's emphasis on statistical theory and qualitative aspects of the topic. He highlights the importance of data analysis and stresses its inportance through use of the inclusion of R software.

Victor A Galaktionov University of Bath, Bath, England, UK

Geometric Sturmian Theory of Nonlinear Parabolic Equations with Applications

Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

ISBN: 1-58488-462-2
Publication Date: 5/28/2004
Number of Pages: 384

Details and clarifies the history of the geometric theory with regard to mathematics
Includes mathematical results never before published
Includes many applications from the fields of mechanical and chemical engineering, biology, environmental science, and more
Includes a motivational introductory section in every chapter

This book is a reference on second order parabolic partial differential equations that are used as models to help solve a broad class of engineering and physical problems. The analytical ideas used are geometric as opposed to super-sub solution methods that have limited application in the physical world. Sturm Theory is the cornerstone of this type of analysis, which was developed almost two hundred years ago, but then lost or forgotten. Recently the theory was revived and used to produce dramatic mathematical results. At present, there are a number of books that promote the Sturm Theory for ordinary differential equations, but none of them are devoted to parabolic partial differential equations.

Samuel Kotz George Washinghton University, Washington DC, USA
Saralees Nadarajah University of South Florida, Tampa, Florida, USA

Linear Combinations, Ratios, and Products of Distributions with Applications

ISBN: 1-58488-403-7
Publication Date: 1/15/2005
Number of Pages: 256

Coordinates and unifies the theory and methodology, providing an essential reference to linear combinations, ratios and products of distribution
Enhances the theory by focusing on the important developments in the area in order to stimulate further applications.
Emphasizes the area of ratios and products of random variables, a field that has never received a systematic treatment

The distributions of linear combinations, and the ratio and products of random variables arise in many applied areas of statistics and probability. This book is essentially a reference text coordinating and unifying the results in this important area and stimulating further applications. Its encyclopedic format makes it useful to teaching faculty, who can set readings and problems from it. Linear Combinations, Ratios, and Products of Distributions with Applications is co-authored by a pre-eminent statistician who is co-editor of the Wiley Encyclopedia of Statistical Science, as well as several important books on distribution methods and theory.