Methods of Nonlinear Analysis

Argumentation theory is a distinctly multidisciplinary field of inquiry. It draws its data, assumptions, and methods from disciplines as disparate as formal logic and discourse analysis, linguistics a

Applied statistics is more than data analysis, but it is easy to lose sight of the big picture. David Cox and Christl Donnelly distil decades of scientific experience into usable principles for the successful application of statistics, showing how good statistical strategy shapes every stage of an investigation. As you advance from research or policy question, to study design, through modelling and interpretation, and finally to meaningful conclusions, this book will be a valuable guide. Over a hundred illustrations from a wide variety of real applications make the conceptual points concrete, illuminating your path and deepening your understanding. This book is essential reading for anyone who makes extensive use of statistical methods in their work.

Applied statistics is more than data analysis, but it is easy to lose sight of the big picture. David Cox and Christl Donnelly distil decades of scientific experience into usable principles for the successful application of statistics, showing how good statistical strategy shapes every stage of an investigation. As you advance from research or policy question, to study design, through modelling and interpretation, and finally to meaningful conclusions, this book will be a valuable guide. Over a hundred illustrations from a wide variety of real applications make the conceptual points concrete, illuminating your path and deepening your understanding. This book is essential reading for anyone who makes extensive use of statistical methods in their work.

This compelling book provides an up-to-date survey of the field of defense economics, the study of defense and peace issues, with the application of economic analysis and methods. The subject embraces both microeconomics and macroeconomics, taking into account such features as growth theory, comparative statistics, game theory and econometrics. A wide range of topics are addressed, including all aspects of the economics of defense, disarmament, conversion and peace. The implications of different organizational forms and their performances are examined, considering the efficient management of defense resources budgets and internal markets in the armed forces. In this groundbreaking volume, Sandler and Hartley synthesize and unify the vast literature on defense economics and peace science.

Damages Under the Convention on Contracts for the International Sale of Goods, Second Edition presents a practical and detailed analysis of the methods used to determine and calculate damages under th

This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations a

Understand multiphase flows using multidisciplinary knowledge in physical principles, modelling theories, and engineering practices. This essential text methodically introduces the important concepts, governing mechanisms, and state-of-the-art theories, using numerous real-world applications, examples, and problems. Covers all major types of multiphase flows, including gas-solid, gas-liquid (sprays or bubbling), liquid-solid, and gas-solid-liquid flows. Introduces the volume-time-averaged transport theorems and associated Lagrangian-trajectory modelling and Eulerian-Eulerian multi-fluid modelling. Explains typical computational techniques, measurement methods and four representative subjects of multiphase flow systems. Suitable as a reference for engineering students, researchers, and practitioners, this text explores and applies fundamental theories to the analysis of system performance using a case-based approach.

Fundamentals of Critical Argumentation presents the basic tools for the identification, analysis, and evaluation of common arguments for beginners. The book teaches by using examples of arguments in dialogues, both in the text itself and in the exercises. Examples of controversial legal, political, and ethical arguments are analyzed. Illustrating the most common kinds of arguments, the book also explains how to evaluate each kind by critical questioning. Douglas Walton shows how arguments can be reasonable under the right dialogue conditions by using critical questions to evaluate them. The book teaches by example, both in the text itself and in exercises, but it is based on methods that have been developed through the author's thirty years of research in argumentation studies.

Mechanisms are fundamental components of machines. They are used to transmit forces and moments and to manipulate objects in industrial machinery, robots, automobiles, aircraft, mechatronics devices and biomechanical systems. A knowledge of the kinematic and dynamic properties of mechanisms is essential for their design and control. This book describes methods and algorithms for the analysis of kinematic systems. Beginning with basic concepts, the book then discusses a variety of problem-solving approaches and computational techniques. Its distinctive feature is its focus on the contour equation as a powerful, computationally efficient tool that will help the reader to design complex spatial mechanisms. This handy text will be useful for senior or graduate students, researchers and practising engineers working in robotics, vehicle dynamics, mechatronics and machine design.

Fundamentals of Critical Argumentation presents the basic tools for the identification, analysis, and evaluation of common arguments for beginners. The book teaches by using examples of arguments in dialogues, both in the text itself and in the exercises. Examples of controversial legal, political, and ethical arguments are analyzed. Illustrating the most common kinds of arguments, the book also explains how to evaluate each kind by critical questioning. Douglas Walton shows how arguments can be reasonable under the right dialogue conditions by using critical questions to evaluate them. The book teaches by example, both in the text itself and in exercises, but it is based on methods that have been developed through the author's thirty years of research in argumentation studies.

Mechanisms are fundamental components of machines. They are used to transmit forces and moments and to manipulate objects in industrial machinery, robots, automobiles, aircraft, mechatronics devices and biomechanical systems. A knowledge of the kinematic and dynamic properties of mechanisms is essential for their design and control. This book describes methods and algorithms for the analysis of kinematic systems. Beginning with basic concepts, the book then discusses a variety of problem-solving approaches and computational techniques. Its distinctive feature is its focus on the contour equation as a powerful, computationally efficient tool that will help the reader to design complex spatial mechanisms. This handy text will be useful for senior or graduate students, researchers and practising engineers working in robotics, vehicle dynamics, mechatronics and machine design.

Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same ti

Many of the complex problems faced by decision makers involve uncertainty as well as multiple conflicting objectives. This book provides a complete understanding of the types of objective functions that should be used in multiattribute decision making. By using tools such as preference, value, and utility functions, readers will learn state-of-the-art methods to analyze prospects to guide decision making and will develop a process that guarantees a defensible analysis to rationalize choices. Summarizing and distilling classical techniques and providing extensive coverage of recent advances in the field, the author offers practical guidance on how to make good decisions in the face of uncertainty. This text will appeal to graduate students and practitioners alike in systems engineering, operations research, business, management, government, climate change, energy, and healthcare.

The interaction between light and electrons in semiconductors forms the basis for many interesting and practically significant properties. This book examines the fundamental physics underlying this rich complexity of photoelectronic properties of semiconductors, and will familiarise the reader with the relatively simple models that are useful in describing these fundamentals. The basic physics is also illustrated with typical recent examples of experimental data and observations. Following introductory material on the basic concepts, the book moves on to consider a wide range of phenomena, including photoconductivity, recombination effects, photoelectronic methods of defect analysis, photoeffects at grain boundaries, amorphous semiconductors, photovoltaic effects and photoeffects in quantum wells and superlattices. The author is Professor of Materials Science and Electrical Engineering at Stanford University, and has taught this material for many years. He is an experienced author, his

This book addresses researchers and practitioners interested in modeling, prediction and forecasting of natural systems based on nonlinear dynamics. It is a practical guide to data analysis and to the

This detailed introduction to distribution theory uses no measure theory, making it suitable for students in statistics and econometrics as well as for researchers who use statistical methods. Good backgrounds in calculus and linear algebra are important and a course in elementary mathematical analysis is useful, but not required. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book. Topics covered range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals, orthogonal polynomials and saddlepoint approximations. The emphasis is on topics useful in understanding statistical methodology; thus, parametric statistical models and the distribution theory associated with the normal distribution are cover

This textbook teaches students the principles, materials and applications they need to understand and analyze heat transfer problems they will encounter in practice. The emphasis on modern practical problems (including thermoelectric cooling) in numerous examples, sets this apart from other titles. This book discusses heat transfer problems (in search of innovative and optimal solutions) and the engineering analysis, to motivate fundamental principles and analytical problem solving methods. By introducing heat flux tracking, students develop intuition about the central role of heat transfer in engineered systems. The energy conversion mechanisms (to and from thermal energy) are integrated into the treatment, thus allowing for realistic design of thermal systems. Microscale heat carriers are also covered. MATLAB® software is included, along with other rich materials available on the website, www.cambridge.org/kaviany. A complete solutions manual for the numerous exercises is available t

Constraints are everywhere: most computational problems can be described in terms of restrictions imposed on the set of possible solutions, and constraint programming is a problem-solving technique that works by incorporating those restrictions in a programming environment. It draws on methods from combinatorial optimisation and artificial intelligence, and has been successfully applied in a number of fields from scheduling, computational biology, finance, electrical engineering and operations research through to numerical analysis. This textbook for upper-division students provides a thorough and structured account of the main aspects of constraint programming. The author provides many worked examples that illustrate the usefulness and versatility of this approach to programming, as well as many exercises throughout the book that illustrate techniques, test skills and extend the text. Pointers to current research, extensive historical and bibliographic notes, and a comprehensive list

Constraints are everywhere: most computational problems can be described in terms of restrictions imposed on the set of possible solutions, and constraint programming is a problem-solving technique that works by incorporating those restrictions in a programming environment. It draws on methods from combinatorial optimisation and artificial intelligence, and has been successfully applied in a number of fields from scheduling, computational biology, finance, electrical engineering and operations research through to numerical analysis. This textbook for upper-division students provides a thorough and structured account of the main aspects of constraint programming. The author provides many worked examples that illustrate the usefulness and versatility of this approach to programming, as well as many exercises throughout the book that illustrate techniques, test skills and extend the text. Pointers to current research, extensive historical and bibliographic notes, and a comprehensive list

Volume I of a two-volume set, this text for a course in numerical analysis offers a broad overview of computer-oriented numerical algorithms. Topics include solution of a single nonlinear equation wit

The scientific advances that underpin economic growth and human health would not be possible without research investments. Yet demonstrating the impact of research programs is a challenge, especially in areas that span disciplines, industrial sectors, and encompass both public and private sector activity. All areas of research are under pressure to demonstrate benefits from federal funding of research. This exciting and innovative study demonstrates new methods and tools to trace the impact of federal research funding on the structure of research, and the subsequent economic activities of funded researchers. The case study is food safety research, which is critical to avoiding outbreaks of disease. The authors make use of an extraordinary new data infrastructure and apply new techniques in text analysis. Focusing on the impact of US federal food safety research, this book develops vital data-intensive methodologies that have a real world application to many other scientific fields.

The scientific advances that underpin economic growth and human health would not be possible without research investments. Yet demonstrating the impact of research programs is a challenge, especially in areas that span disciplines, industrial sectors, and encompass both public and private sector activity. All areas of research are under pressure to demonstrate benefits from federal funding of research. This exciting and innovative study demonstrates new methods and tools to trace the impact of federal research funding on the structure of research, and the subsequent economic activities of funded researchers. The case study is food safety research, which is critical to avoiding outbreaks of disease. The authors make use of an extraordinary new data infrastructure and apply new techniques in text analysis. Focusing on the impact of US federal food safety research, this book develops vital data-intensive methodologies that have a real world application to many other scientific fields.

This 2006 book presents a systematic introduction to the theory of parametric stability of structures under both deterministic and stochastic loadings. A comprehensive range of theories are presented and various application problems are formulated and solved, often using more than one approach. Investigation of an elastic system's dynamic stability frequently leads to the study of dynamic behaviour of the solutions of parametrically excited systems. Parametric instability or resonance is more dangerous than ordinary resonance as it is characterised by exponential growth of the response amplitudes even in the presence of damping. The emphasis in this book is on the applications and various analytical and numerical methods for solving engineering problems. The materials presented are as self-contained as possible, with all of the important steps of analysis provided in order to make the book suitable as a graduate-level textbook and especially for self-study.

This 2006 book presents a systematic introduction to the theory of parametric stability of structures under both deterministic and stochastic loadings. A comprehensive range of theories are presented and various application problems are formulated and solved, often using more than one approach. Investigation of an elastic system's dynamic stability frequently leads to the study of dynamic behaviour of the solutions of parametrically excited systems. Parametric instability or resonance is more dangerous than ordinary resonance as it is characterised by exponential growth of the response amplitudes even in the presence of damping. The emphasis in this book is on the applications and various analytical and numerical methods for solving engineering problems. The materials presented are as self-contained as possible, with all of the important steps of analysis provided in order to make the book suitable as a graduate-level textbook and especially for self-study.

The division of the world into rich and poor nations, and the division within poor nations between a minority of rich people and a majority of poor people living at a minimum subsistence level, has been obvious to careful observers for a long time. This book gives an overview of the problems of underdevelopment confronting third-world countries, making use of both Marxist and neo-Keynesian methods of analysis. It makes clear the historical origins of these contemporary problems, particularly with reference to the major countries of Asia and Latin America, and discusses the ways in which inequalities, both within and between countries, are propaged and perpetuated. Other problems analysed are the typical patterns of fluctuating growth faced by third-world countries; the social structures in both rural and urban areas and their influence on the behaviour of governments and private investors in these countries; and environmental control and population planning issues faced by these countr

This is the second volume of a two-volume translation of Heinrich Schenker's Der Tonwille (1921-24). Among the foremost music theorists of the twentieth century, Schenker's methods of analysis continu

How do I decide I am ill; how do I decide that my children are ill? How do I learn effective ways of conveying to others that I am ill? This book discusses the languages of illness which we use to present our discomforts to others through an exploration of the child's world of illness. It looks at how illness concepts are introduced to children, how the causes of illness and 'germ' rationales are incorporated into the socialisation of children, and how a particular morality about health and illness is expressed. Besides the analysis of the social context within which the children's views are developing, the book presents the children's own views from three years old up to thirteen. How we talk about illness can have as important consequences as the methods we use to cure it. This book persuades the reader to look more closely at the language of illness, allowing a reappraisal to medical practice, school health programmes and class teaching, health education and even the differences in

How do I decide I am ill; how do I decide that my children are ill? How do I learn effective ways of conveying to others that I am ill? This book discusses the languages of illness which we use to present our discomforts to others through an exploration of the child's world of illness. It looks at how illness concepts are introduced to children, how the causes of illness and 'germ' rationales are incorporated into the socialisation of children, and how a particular morality about health and illness is expressed. Besides the analysis of the social context within which the children's views are developing, the book presents the children's own views from three years old up to thirteen. How we talk about illness can have as important consequences as the methods we use to cure it. This book persuades the reader to look more closely at the language of illness, allowing a reappraisal to medical practice, school health programmes and class teaching, health education and even the differences in

If you're looking to understand photonic crystals, this systematic, rigorous, and pedagogical introduction is a must. Here you'll find intuitive analytical and semi-analytical models applied to complex and practically relevant photonic crystal structures. You will also be shown how to use various analytical methods borrowed from quantum mechanics, such as perturbation theory, asymptotic analysis, and group theory, to investigate many of the limiting properties of photonic crystals which are otherwise difficult to rationalize using only numerical simulations. An introductory review of nonlinear guiding in photonic lattices is also presented, as are the fabrication and application of photonic crystals. In addition, end-of-chapter exercise problems with detailed analytical and numerical solutions allow you to monitor your understanding of the material presented. This accessible text is ideal for researchers and graduate students studying photonic crystals in departments of electrical engi

Gives a comprehensive and systematic account of high-dimensional data analysis, including variable selection via regularization methods and sure independent feature screening methods. It is a valuable

During the past decade there has been a tremendous growth in daylighting analysis methods, allowing designers to meet ever higher standards. But in relying too heavily on these methods, there is a ris

For nearly nineteen hundred years, few have questioned the single authorship of Luke and Acts. A careful reassessment of the internal and external evidence, however, reveals this assumption to be built on a shakier foundation than was previously thought. Patricia Walters's innovative study offers a statistical analysis of Luke and Acts, pointing to the existence of highly significant differences in their prose style. In particular, a comprehensive survey and re-examination of the two books' least contested authorial stratum - their seams and summaries - brings to light ancient prose compositional patterns that distinguish Luke and Acts beyond a reasonable doubt. Walters's application of statistical analysis is unique in biblical scholarship, and will provide impetus for using similar methods in other areas of the field. This book will therefore be of great interest to academic researchers and students of early Christianity, classical literature and rhetoric, and New Testament studies.

For nearly nineteen hundred years, few have questioned the single authorship of Luke and Acts. A careful reassessment of the internal and external evidence, however, reveals this assumption to be built on a shakier foundation than was previously thought. Patricia Walters's innovative study offers a statistical analysis of Luke and Acts, pointing to the existence of highly significant differences in their prose style. In particular, a comprehensive survey and re-examination of the two books' least contested authorial stratum - their seams and summaries - brings to light ancient prose compositional patterns that distinguish Luke and Acts beyond a reasonable doubt. Walters's application of statistical analysis is unique in biblical scholarship, and will provide impetus for using similar methods in other areas of the field. This book will therefore be of great interest to academic researchers and students of early Christianity, classical literature and rhetoric, and New Testament studies.

Stochastic Dynamics of Marine Structures is a text for students and a reference for professionals on the basic theory and methods used for stochastic modelling and analysis of marine structures subjected to environmental loads. The first part of the book provides a detailed introduction to the basic dynamic analysis of structures, serving as a foundation for later chapters on stochastic response analysis. This includes an extensive chapter on the finite element method. A careful introduction to stochastic modelling is provided, which includes such concepts as stochastic process, variance spectrum, random environmental processes, response spectrum, response statistics and short- and long-term extreme value models. The second part of the book offers detailed discussion of limit state design approaches, fatigue design methods, the equations of motion for dynamic structures and numerical solution techniques. The final chapter highlights methods for prediction of extreme values from measure

Covers all aspects of astrology, including interpretation and analysis of all the signs and planets along with information on applying psychological methods to astrology.

This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods.

Contain s current methods of analysis for new formulations of cosmetics, perfumes, creams, and lotions!With contributions from world-renowned experts in the field, Topical Absorption of Dermatological

Recent achievements in sunlight concentration techniques have increased the potential of solar power as a viable source of renewable energy. Through its critical analysis of current methods, Photovolt

A combination of oxidation methods and C?H bond functionalization, this book emphasizes mechanistic understanding and critical analysis of synthetic reactions to offer a guide or manual for practicing

This ideal review for your electrical engineering course, with coverage of circuit laws, analysis methods, circuit concepts, and moreMore than 40 million students have trusted Schaum's Outlines for th