The last 25 years have seen an explosion of new methods used to analyze categorical data. This book summarizes them in one easy to use reference. It emphasizes methods used to analyze data in biomedical and social sciences, the book discusses recently developed methods for longitudinal data and ordinal data and features applications which use computers to analyze data, in addition to an in-depth look at how categorical data analysis has evolved over the years.

Covers the central ideas and concepts of chaos and fractals. They show how these topics relate to each other as well as to many other areas of mathematics and natural phenomena. The book can be understood by readers at almost any mathematical level and is supplemented in each chapter by sections that contain rigorous mathematics for those who want a more in-depth explanation. A "Program of the Chapter" provides computer code for those who wish to explore the concepts graphically. Twenty-four color pages, with forty stunning images, go beyond mathematics to demonstrate the inherent visual beauty of fractals. Two appendices provide the most recent advances in research, the first discusses the details and ideas of fractal image compression and the second explains the foundations and implications of multifractals. For almost ten years chaos and fractals have shed light on many areas of mathematics and the natural sciences. They continue to do so with power and creativity.

Chaos occurs widely in engineering and natural systems. Historically it has been noted only as irregular or unpredictable behavior and often attributed to random external influences. Further studies have shown that chaotic phenomena are completely deterministic and characteristic for typical nonlinear systems. These studies posed the question of the practical applications of chaos. One of the possible answers is to control chaotic behavior in such a way as to make it predictable. Recently there have been examples of the potential usefulness of chaotic behavior and this has caused growing interest among engineers and applied scientists. In this book the new mathematical ideas in nonlinear dynamics are described such that engineers can apply them in real physical systems.

This timely reference examines the tremendous benefits produced by the use of superconductivity, including the realization of a commercial fusion reactor for the generation of electricity. Features over 1300 literature citations, tables, figures, and display equations.

Provides computational methods and associated software for solving problems of ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering. It focuses on the elements of the numerical method of lines, a relatively new approach to the solution of PDEs based on extensions of the numerical methods for ODEs and DAEs.
Detailed examples are presented featuring an analysis of a computer code written in Fortran 77, including a discussion of the problem equations, the coding of the equations, and the computed numerical solution. The book serves as a valuable source of methodology that can be applied to a broad spectrum of problems encountered by mechanical engineers, chemical engineers, physicists, computational physicists, computer simulation professionals, applied mathematicians, and virtually anyone using mathematics in science and engineering.

A thorough overview of research on the construction of confidence interval estimates on measures of variance in both random and mixed experimental design models. This useful reference explains methods for constructing confidence intervals on individual variances, linear combinations of variance components, and ratios of variance components for balanced and unbalanced designs.

This book demonstrates how to perform complex mathematics entirely in your head, with no calculating instruments. It covers the gambit from arithmetic to trigonometric functions. A valuable set of skills to learn for anyone that has to manipulate numbers regularly.

This practical reference/text represents an entirely new approach to the statistical design of experiments-offering a simple, complete way to specify and evaluate all possible balanced designs without restrictions to classes of names designs. Reveals a novel scientific design method from the recognition stage to implementation and summarization!

Responding to the needs of graduate engineers and ABET criteria, this volume illustrates the essentials of both probability and statistics through computer exercises. Featuring a wealth of computer exercises that provide experimental verification of probabilistic phenomena and a means for calculating and displaying complex results.

Best-selling author D.M. Etter introduces readers to general problem-solving and design techniques through a five step process which uses MATLAB, the popular engineering software, for analysis and graphical display. The book features chapters organized around specific engineering applications drawn from a variety of engineering disciplines. This book is the cornerstone engineering tutorial in the MATLAB Curriculum Series.

Covers the mathematics required in the first year of a degree or diploma course in engineering.In each chapter, the learning objectives are listed and the mathematical material introduced and amplified through the liberal use of worked examples. Practice sessions are then provided in the form of working steps, during which the reader is invited to participate and respond. Includes over 1300 problems and about 176 figures and tables.

Fully examines all that is known to date about the science of vacuum technology. Useful to both scientists and engineers dealing with problems associated with the use, production and measurement of high vacuums. Main areas discussed are vacuum pumps, leak detection, pressure measurements, and calibration and standards.

This important volume presents the proceedings of the Symposium on Functional Analysis held in Essen, Germany-exploring current advances in the usually separated areas of semigroups of operators and evolution equations, geometry of Banach spaces and operator ideals, and FrΘchet spaces with applications to partial differential equations.

Blending theory and applications, this easily-accessible introduction to photonics is equally suited to senior undergraduate/graduate level students as well as to the seasoned professional. Examining the underpinnings of photonics, this book treats the interaction of optics and electronics as well as their important applications in lasers, optical fibers and semiconductor optical devices.
Coverage is broad, encompassing the areas of coherent optics, electro-optics, optoelectronics, quantum electronics, and lightwave technology.

This guide helps the reader acquire the basic skills involved in accurate dimensioning and tolerancing to obtain the best quality product. Exercises and projects allow the reader to practice using realistic industrial applications. Numerous illustrations reinforce the learning process.