Methods of Nonlinear Analysis

Mechanism design is an analytical framework for thinking clearly and carefully about what exactly a given institution can achieve when the information necessary to make decisions is dispersed and privately held. This analysis provides an account of the underlying mathematics of mechanism design based on linear programming. Three advantages characterize the approach. The first is simplicity: arguments based on linear programming are both elementary and transparent. The second is unity: the machinery of linear programming provides a way to unify results from disparate areas of mechanism design. The third is reach: the technique offers the ability to solve problems that appear to be beyond solutions offered by traditional methods. No claim is made that the approach advocated should supplant traditional mathematical machinery. Rather, the approach represents an addition to the tools of the economic theorist who proposes to understand economic phenomena through the lens of mechanism design.

Mechanism design is an analytical framework for thinking clearly and carefully about what exactly a given institution can achieve when the information necessary to make decisions is dispersed and privately held. This analysis provides an account of the underlying mathematics of mechanism design based on linear programming. Three advantages characterize the approach. The first is simplicity: arguments based on linear programming are both elementary and transparent. The second is unity: the machinery of linear programming provides a way to unify results from disparate areas of mechanism design. The third is reach: the technique offers the ability to solve problems that appear to be beyond solutions offered by traditional methods. No claim is made that the approach advocated should supplant traditional mathematical machinery. Rather, the approach represents an addition to the tools of the economic theorist who proposes to understand economic phenomena through the lens of mechanism design.

First published in 1977, this is an authoritative work by one of the world's leading ecologists. Aleksandrova's account is a very full one with much detail. The methods of classification are as interesting as the results. A wide variety of floristic, vegetational, structural, faunistic and ecological data, both qualitative and quantitative, are used to diagnose and characterise vegetation units. The vegetation of the Arctic and Antarctic is classified according to diagnostic and characteristic features. The Arctic is divided into two provinces, tundra and polar desert and the Antarctic into subantarctic herbaceous cushion vegetation and antarctic polar desert. The arctic tundra is further subdivided into subarctic with shrubby Betula (Birch) or true arctic tundra without Betula. The end result is an analysis of plant communities in the polar regions that enables ecologists to generalise and, perhaps more important, to limit correctly the scope of that generalisation when it is drawn fr

Concrete Vaulted Construction in Imperial Rome examines methods and techniques that enabled builders to construct some of the most imposing monuments of ancient Rome. Focusing on structurally innovative vaulting and the factors that influenced its advancement, Lynne Lancaster also explores a range of related practices, including lightweight pumice as aggregate, amphoras in vaults, vaulting ribs, metal tie bars, and various techniques of buttressing. She provides the geological background of the local building stones and applies mineralogical analysis to determine material provenance, which in turn suggests trading patterns and land use. Lancaster also examines construction techniques in relation to the social, economic, and political contexts of Rome, in an effort to draw connections between changes in the building industry and the events that shaped Roman society from the early empire to late antiquity. This book was awarded the James R. Wiseman Book Award from the Archaeological Inst

Label-free biosensors are devices that use biological or chemical receptors to detect analytes (molecules) in a sample. They give detailed information on the selectivity, affinity, and, in many cases, also the binding kinetics and thermodynamics of an interaction. Although they can be powerful tools in the hands of a skilled user, there is often a lack of knowledge of the best methods for using label-free assays to screen for biologically active molecules and accurately and precisely characterize molecular recognition events. This book reviews both established and newer label-free techniques giving both the expert user and the general reader interested in the technologies and applications behind label-free an insight into the field from expert opinion leaders and practitioners of the technologies. Most importantly, chapters contain worked examples from leaders in the field that take the reader through the basics of experimental design, setup, assay development, and data analysis.

Label-free biosensors are devices that use biological or chemical receptors to detect analytes (molecules) in a sample. They give detailed information on the selectivity, affinity, and, in many cases, also the binding kinetics and thermodynamics of an interaction. Although they can be powerful tools in the hands of a skilled user, there is often a lack of knowledge of the best methods for using label-free assays to screen for biologically active molecules and accurately and precisely characterize molecular recognition events. This book reviews both established and newer label-free techniques giving both the expert user and the general reader interested in the technologies and applications behind label-free an insight into the field from expert opinion leaders and practitioners of the technologies. Most importantly, chapters contain worked examples from leaders in the field that take the reader through the basics of experimental design, setup, assay development, and data analysis.

The statistical bootstrap is one of the methods that can be used to calculate estimates of a certain number of unknown parameters of a random process or a signal observed in noise, based on a random sample. Such situations are common in signal processing and the bootstrap is especially useful when only a small sample is available or an analytical analysis is too cumbersome or even impossible. This book covers the foundations of the bootstrap, its properties, its strengths and its limitations. The authors focus on bootstrap signal detection in Gaussian and non-Gaussian interference as well as bootstrap model selection. The theory developed in the book is supported by a number of useful practical examples written in MATLAB. The book is aimed at graduate students and engineers, and includes applications to real-world problems in areas such as radar and sonar, biomedical engineering and automotive engineering.

The last twenty years have seen a resurgence of interest in human evolution in many aspects. A distinction can be made between 'narrow' (general acceptance that human evolution occurred, historically) and 'broad' (evolutionary ideas that stretch much further into all aspects of humanity, past and present) human evolution. The broad perspective is beginning to make its presence felt, for example, through the developments in evolutionary genetics, evolutionary psychology and behavioural ecology. There must, therefore, be, among the variety of human adaptations, natures and behaviours, phenomena which are not susceptible to an evolutionary analysis, which are beyond the bounds of evolution. The problem is, though, that we do not really know where that boundary lies. Here, the limits of human evolution are explored, using two approaches - first, finding where humans 'fit' the expectations of evolutionary principles; and second, applying evolutionary methods to particular human contexts, wh

The quantitative analysis of biological sequence data is based on methods from statistics coupled with efficient algorithms from computer science. Algebra provides a framework for unifying many of the seemingly disparate techniques used by computational biologists. This book, first published in 2005, offers an introduction to this mathematical framework and describes tools from computational algebra for designing new algorithms for exact, accurate results. These algorithms can be applied to biological problems such as aligning genomes, finding genes and constructing phylogenies. The first part of this book consists of four chapters on the themes of Statistics, Computation, Algebra and Biology, offering speedy, self-contained introductions to the emerging field of algebraic statistics and its applications to genomics. In the second part, the four themes are combined and developed to tackle real problems in computational genomics. As the first book in the exciting and dynamic area, it wi

The statistical bootstrap is one of the methods that can be used to calculate estimates of a certain number of unknown parameters of a random process or a signal observed in noise, based on a random sample. Such situations are common in signal processing and the bootstrap is especially useful when only a small sample is available or an analytical analysis is too cumbersome or even impossible. This book covers the foundations of the bootstrap, its properties, its strengths and its limitations. The authors focus on bootstrap signal detection in Gaussian and non-Gaussian interference as well as bootstrap model selection. The theory developed in the book is supported by a number of useful practical examples written in MATLAB. The book is aimed at graduate students and engineers, and includes applications to real-world problems in areas such as radar and sonar, biomedical engineering and automotive engineering.

The law that regulates armed conflicts is one of the oldest branches of international law, and yet continues to be one of the most dynamic areas of law today. This book provides an accessible, scholarly, and up-to-date examination of international humanitarian law, offering a comprehensive and logical discussion and analysis of the law. The book contains detailed examples, extracts from relevant cases, useful discussion questions, and a recommended reading list for every chapter. Emerging trends in theory and practice of international humanitarian law are also explored, allowing for readers to build on their knowledge, and grapple with some of the biggest challenges facing the law of armed conflict in the twenty-first century. This second edition offers new sections on issues like detention in non-international armed conflict, characterisation of non-international armed conflicts, expanded chapters on occupation and the protection of civilians, means and methods of warfare, and impleme

Growth, Maturation and Body Composition documents one of the most remarkable and significant studies in the field of human biology. The Fels Longitudinal Study is the longest, largest and most productive serial study of human growth, maturation and body composition. This book shows how data collected from more than 1000 participants during the past 60 years have been analysed to test a wide range of hypotheses, and describes how the findings have led to the development of improved research methods. Topics covered include the management and analysis of data, prenatal, familial and genetic studies, physical growth, development and maturation, bones and teeth, body composition, and risk factors for cardiovascular disease. With more than 1000 specialized publications of Fels data, the present book provides a unique overview of this fascinating research programme, which will be of interest to a wide range of researchers, including those in the fields of physical anthropology, nutrition scie

This second volume of Brahms studies contains twelve contributions by leading international authorities on various music. Like the preceding volume of the same title (edited by Robert Pascall), Michael Musgrave's volume aims to provide original scholarly material on different facets of a major composer still inadequately discussed in book form and employs more precise methods of analysis and more critical approaches to materials then generally available in writings on Brahms in English. Half of the volume takes the music itself as focus, though from very different vantage points. There are two studies of a single opus (the two String Quartets Op. 51 Nos, 1 and 2), discussions of the Fourth Symphony and the motet 'Warum', and a view of Brahms's harmony. The underlying historical theme emerges more openly in an account of Brahms's interest in German Renaissance music. The remaining essays give details of the state of Brahms's unpublished compositions and arrangements at his death and the

Growth, Maturation and Body Composition documents one of the most remarkable and significant studies in the field of human biology. The Fels Longitudinal Study is the longest, largest and most productive serial study of human growth, maturation and body composition. This book shows how data collected from more than 1000 participants during the past 60 years have been analysed to test a wide range of hypotheses, and describes how the findings have led to the development of improved research methods. Topics covered include the management and analysis of data, prenatal, familial and genetic studies, physical growth, development and maturation, bones and teeth, body composition, and risk factors for cardiovascular disease. With more than 1000 specialized publications of Fels data, the present book provides a unique overview of this fascinating research programme, which will be of interest to a wide range of researchers, including those in the fields of physical anthropology, nutrition scie

This book is an introduction to the theory of partial differential operators. It assumes that the reader has a knowledge of introductory functional analysis, up to the spectral theorem for bounded linear operators on Banach spaces. However, it describes the theory of Fourier transforms and distributions as far as is needed to analyse the spectrum of any constant coefficient partial differential operator. A completely new proof of the spectral theorem for unbounded self-adjoint operators is followed by its application to a variety of second-order elliptic differential operators, from those with discrete spectrum to Schrödinger operators acting on L2(RN). The book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on the subjec

This pioneering book studies the function and status of the written word in Carolingian society in France and Germany in the eighth- and ninth-centuries. It demonstrates that literacy was by no means confined to a clerical élite, but was dispersed in lay society and used for government and administration, and for ordinary legal transactions among the peoples of the Frankish kingdom. While exploiting a huge range of primary material, Professor McKitterick does not confine herself to a functional analysis of the written word in Carolingian northern Europe but goes on to assess the consequences and implications of literacy for the Franks themselves and for the subsequent development of European society after 1000. Key topics discussed include law and the use of the written word, the conduct and record of legal transactions, the economic and social status of the book in Carolingian society, the methods evolved to organize and define written knowledge, and the whole question of lay literacy

First published in 1961 this monograph deals with the analysis of unsteady lift distributions of thin oscillating wings at transonic speeds. Such distributions are needed for the prediction of flutter, which tends to occur more frequently at speeds near that of sound than in any other speed regime. This book emphasises analytical methods that treat the linearised problem for simple wing planforms such as rectangular and delta wings. There is a thorough discussion of the limitations of the validity of linearised theory as well as the proper boundary conditions to be applied for the case of flows with shocks. Although the standard approach in engineering practice is to sense transonic flow calculations with the aid of direct numerical simulations on a high-speed computer, the treatment in this classic monograph is still of value in the physical insight it provides and in the reference 'exact' solutions it supplies for simplified cases that may serve as validation cases for complicated co

Just a few meters below the Earth's surface lie features of great importance, from geological faults which can produce devastating earthquakes, to lost archaeological treasures. This refreshing, up-to-date book explores the foundations of interpretation theory and the latest developments in near-surface techniques, used to complement traditional geophysical methods for deep-exploration targets. Clear but rigorous, the book explains theory and practice in simple physical terms, supported by intermediate-level mathematics. Techniques covered include magnetics, resistivity, seismic reflection and refraction, surface waves, induced polarization, self-potential, electromagnetic induction, ground-penetrating radar, magnetic resonance, interferometry, seismoelectric and more. Sections on data analysis and inverse theory are provided and chapters are illustrated by case studies, giving students and professionals the tools to plan, conduct and analyze a near-surface geophysical survey. This is

Over the past decades, public trust in medical professionals has steadily declined. This decline of trust and its replacement by ever tighter regulations is increasingly frustrating physicians. However, most discussions of trust are either abstract philosophical discussions or social science investigations not easily accessible to clinicians. The authors, one a surgeon-turned-philosopher, the other an analytical philosopher working in medical ethics, joined their expertise to write a book which straddles the gap between the practical and theoretical. Using an approach grounded in the methods of conceptual analysis found in analytical philosophy which also draws from approaches to medical diagnosis, the authors have conceived an internally coherent and comprehensive definition of trust to help elucidate the concept and explain its decline in the medical context. This book should appeal to all interested in the ongoing debate about the decline of trust - be it as medical professionals, m

Over the past decades, public trust in medical professionals has steadily declined. This decline of trust and its replacement by ever tighter regulations is increasingly frustrating physicians. However, most discussions of trust are either abstract philosophical discussions or social science investigations not easily accessible to clinicians. The authors, one a surgeon-turned-philosopher, the other an analytical philosopher working in medical ethics, joined their expertise to write a book which straddles the gap between the practical and theoretical. Using an approach grounded in the methods of conceptual analysis found in analytical philosophy which also draws from approaches to medical diagnosis, the authors have conceived an internally coherent and comprehensive definition of trust to help elucidate the concept and explain its decline in the medical context. This book should appeal to all interested in the ongoing debate about the decline of trust - be it as medical professionals, m

Measurement, analysis and modeling of extreme precipitation events linked to floods is vital in understanding changing climate impacts and variability. This book provides methods for assessment of the trends in these events and their impacts. It also provides a basis to develop procedures and guidelines for climate-adaptive hydrologic engineering. Academic researchers in the fields of hydrology, climate change, meteorology, environmental policy and risk assessment, and professionals and policy-makers working in hazard mitigation, water resources engineering and climate adaptation will find this an invaluable resource. This volume is the first in a collection of four books on flood disaster management theory and practice within the context of anthropogenic climate change. The others are: Floods in a Changing Climate: Hydrological Modeling by P. P. Mujumdar and D. Nagesh Kumar, Floods in a Changing Climate: Inundation Modeling by Giuliano Di Baldassarre and Floods in a Changing Climate:

In psychiatry, as in many other medical disciplines, training is shifting from an emphasis on testing factual knowledge towards a system based on continuing assessment and the acquisition of practical skills and competencies. Workplace Based Assessments in Psychiatric Training describes current approaches to these new assessment systems around the world, provides practical advice regarding their implementation and makes recommendations for future developments. The book opens with an overview and analysis of methods of workplace based assessments, followed by a review of the trainee assessment from the patient perspective. Chapters contain in-depth, detailed discussion of recent developments in Canada, Denmark, India, the UK and the USA. The book reviews both technical developments in assessment tools and techniques and the socio-political context within which these have taken place. With a practical focus and unique global perspective, this is a 'must buy' for anyone responsible for th

Originally published in 2005, this unique resource presents 27 easy-to-follow laboratory exercises for use in student practical classes in developmental biology. These experiments provide key insights into developmental questions, and many of them are described by the leaders in the field who carried out the original research. This book intends to bridge the gap between experimental work and the laboratory classes taken at the undergraduate and post-graduate levels. All chapters follow the same format, taking the students from materials and methods, through results and discussion, so that they learn the underlying rationale and analysis employed in the research. The book will be an invaluable resource for graduate students and instructors teaching practical developmental biology courses. Chapters include teaching concepts, discussion of the degree of difficulty of each experiment, potential sources of failure, as well as the time required for each experiment to be carried out in a clas

Just as each person develops from infancy to adulthood, all interpersonal relationships have a life history that encompasses the changes in how people communicate with each other. This book is about how a relationship transforms itself from one pattern of communication to another. The authors present a unique research method called 'relational-historical research', based on advances in dynamic systems theory in developmental psychology, and qualitative methods in life history research. It rests on three premises: that the developing relationship (not the individual) is the unit of analysis; that change emerges from, but is not entirely constrained by, the patterns of the past; and that the developmental process is best revealed by making frequent observations within a particular case before, during, and after a key developmental transition. Looking specifically at the mother–infant relationship, this is a compelling piece of research that will appeal to an international audience of int

Space-time coding is a technique that promises greatly improved performance in wireless networks by using multiple antennas at the transmitter and receiver. Space-Time Block Coding for Wireless Communications, first published in 2003, is an introduction to the theory of this technology. The authors develop the topic using a unified framework and cover a variety of topics ranging from information theory to performance analysis and space-time coding methods for both flat and frequency-selective fading multiple-antenna channels. The authors concentrate on key principles rather than specific practical applications, and present the material in a concise and accessible manner. Their treatment reviews the fundamental aspects of multiple-input, multiple-output communication theory, and guides the reader through a number of topics at the forefront of research and development. The book includes homework exercises and is aimed at graduate students and researchers working on wireless communication

Just as each person develops from infancy to adulthood, all interpersonal relationships have a life history that encompasses the changes in how people communicate with each other. This book is about how a relationship transforms itself from one pattern of communication to another. The authors present a unique research method called 'relational-historical research', based on advances in dynamic systems theory in developmental psychology, and qualitative methods in life history research. It rests on three premises: that the developing relationship (not the individual) is the unit of analysis; that change emerges from, but is not entirely constrained by, the patterns of the past; and that the developmental process is best revealed by making frequent observations within a particular case before, during, and after a key developmental transition. Looking specifically at the mother–infant relationship, this is a compelling piece of research that will appeal to an international audience of int

Analyzing Grammar is a clear introductory textbook on grammatical analysis, designed for students beginning to study the discipline. Covering both syntax (the structure of phrases and sentences) and morphology (the structure of words), it equips them with the tools and methods needed to analyze grammatical patterns in any language. Students are shown how to use standard notational devices such as phrase structure trees and word-formation rules, as well as prose descriptions. Emphasis is placed on comparing the different grammatical systems of the world's languages, and students are encouraged to practice the analyses through a diverse range of problem sets and exercises. Topics covered include word order, constituency, case, agreement, tense, gender, pronoun systems, inflection, derivation, argument structure and grammatical relations, and a useful glossary provides a clear explanation of each term. Accessibly written and comprehensive, Analyzing Grammar is set to become a key text for

Analyzing Grammar is a clear introductory textbook on grammatical analysis, designed for students beginning to study the discipline. Covering both syntax (the structure of phrases and sentences) and morphology (the structure of words), it equips them with the tools and methods needed to analyze grammatical patterns in any language. Students are shown how to use standard notational devices such as phrase structure trees and word-formation rules, as well as prose descriptions. Emphasis is placed on comparing the different grammatical systems of the world's languages, and students are encouraged to practice the analyses through a diverse range of problem sets and exercises. Topics covered include word order, constituency, case, agreement, tense, gender, pronoun systems, inflection, derivation, argument structure and grammatical relations, and a useful glossary provides a clear explanation of each term. Accessibly written and comprehensive, Analyzing Grammar is set to become a key text for

Space-time coding is a technique that promises greatly improved performance in wireless networks by using multiple antennas at the transmitter and receiver. Space-Time Block Coding for Wireless Communications, first published in 2003, is an introduction to the theory of this technology. The authors develop the topic using a unified framework and cover a variety of topics ranging from information theory to performance analysis and space-time coding methods for both flat and frequency-selective fading multiple-antenna channels. The authors concentrate on key principles rather than specific practical applications, and present the material in a concise and accessible manner. Their treatment reviews the fundamental aspects of multiple-input, multiple-output communication theory, and guides the reader through a number of topics at the forefront of research and development. The book includes homework exercises and is aimed at graduate students and researchers working on wireless communication

The second edition of this very successful and authoritative set of tables still benefits from clear typesetting, which makes the figures easy to read and use. It has, however, been improved by the addition of new tables that provide Bayesian confidence limits for the binomial and Poisson distributions, and for the square of the multiple correlation coefficient, which have not been previously available. The intervals are the shortest possible, consistent with the requirement on probability. Great care has been taken to ensure that it is clear just what is being tabulated and how the values may be used; the tables are generally capable of easy interpolation. The book contains all the tables likely to be required for elementary statistical methods in the social, business and natural sciences. It will be an essential aid for teachers, researchers and students in those subjects where statistical analysis is not wholly carried out by computers.

This third edition provides a concise yet approachable introduction to seismic theory, designed as a first course for graduate students or advanced undergraduate students. It clearly explains the fundamental concepts, emphasizing intuitive understanding over lengthy derivations, and outlines the different types of seismic waves and how they can be used to resolve Earth structure and understand earthquakes. New material and updates have been added throughout, including ambient noise methods, shear-wave splitting, back-projection, migration and velocity analysis in reflection seismology, earthquake rupture directivity, and fault weakening mechanisms. A wealth of both reworked and new examples, review questions and computer-based exercises in MATLAB®/Python give students the opportunity to apply the techniques they have learned to compute results of interest and to illustrate Earth's seismic properties. More advanced sections, which are not needed to understand the other material, are fla

This third edition provides a concise yet approachable introduction to seismic theory, designed as a first course for graduate students or advanced undergraduate students. It clearly explains the fundamental concepts, emphasizing intuitive understanding over lengthy derivations, and outlines the different types of seismic waves and how they can be used to resolve Earth structure and understand earthquakes. New material and updates have been added throughout, including ambient noise methods, shear-wave splitting, back-projection, migration and velocity analysis in reflection seismology, earthquake rupture directivity, and fault weakening mechanisms. A wealth of both reworked and new examples, review questions and computer-based exercises in MATLAB®/Python give students the opportunity to apply the techniques they have learned to compute results of interest and to illustrate Earth's seismic properties. More advanced sections, which are not needed to understand the other material, are fla

This book is an indispensable guide to how to write articles, choose journals, and deal with revisions or rejection. Each chapter is written by a highly experienced journal editor - people who have actually made decisions on manuscripts and publication, as well as being eminent in their respective scientific field and written many articles themselves. It showcases parts of articles, discusses journal submission, outlines the resubmission process, and highlights systemic issues. Clear instructions are given on writing an empirical article, literature reviews, titles and abstracts, introductions, theories, hypotheses, methods and data analysis. Each part of the process is laid out from presenting results, to mapping-out a discussion and writing for referees. The integral skills of revising papers and ensuring a high impact are taught in 'article writing 101'. Whilst less intuitive knowledge is provided concerning publishing strategies, references, online submission, review systems, open

This book is an indispensable guide to how to write articles, choose journals, and deal with revisions or rejection. Each chapter is written by a highly experienced journal editor - people who have actually made decisions on manuscripts and publication, as well as being eminent in their respective scientific field and written many articles themselves. It showcases parts of articles, discusses journal submission, outlines the resubmission process, and highlights systemic issues. Clear instructions are given on writing an empirical article, literature reviews, titles and abstracts, introductions, theories, hypotheses, methods and data analysis. Each part of the process is laid out from presenting results, to mapping-out a discussion and writing for referees. The integral skills of revising papers and ensuring a high impact are taught in 'article writing 101'. Whilst less intuitive knowledge is provided concerning publishing strategies, references, online submission, review systems, open

High-dimensional probability offers insight into the behavior of random vectors, random matrices, random subspaces, and objects used to quantify uncertainty in high dimensions. Drawing on ideas from probability, analysis, and geometry, it lends itself to applications in mathematics, statistics, theoretical computer science, signal processing, optimization, and more. It is the first to integrate theory, key tools, and modern applications of high-dimensional probability. Concentration inequalities form the core, and it covers both classical results such as Hoeffding's and Chernoff's inequalities and modern developments such as the matrix Bernstein's inequality. It then introduces the powerful methods based on stochastic processes, including such tools as Slepian's, Sudakov's, and Dudley's inequalities, as well as generic chaining and bounds based on VC dimension. A broad range of illustrations is embedded throughout, including classical and modern results for covariance estimation, clust

Designed for introductory undergraduate courses in fluid mechanics for chemical engineers, this stand-alone textbook illustrates the fundamental concepts and analytical strategies in a rigorous and systematic, yet mathematically accessible manner. Using both traditional and novel applications, it examines key topics such as viscous stresses, surface tension, and the microscopic analysis of incompressible flows which enables students to understand what is important physically in a novel situation and how to use such insights in modeling. The many modern worked examples and end-of-chapter problems provide calculation practice, build confidence in analyzing physical systems, and help develop engineering judgment. The book also features a self-contained summary of the mathematics needed to understand vectors and tensors, and explains solution methods for partial differential equations. Including a full solutions manual for instructors available at www.cambridge.org/deen, this balanced text

This comprehensive, hands-on review of the most up-to-date techniques in RF and microwave measurement combines microwave circuit theory and metrology, in-depth analysis of advanced modern instrumentation, methods and systems, and practical advice for professional RF and microwave engineers and researchers. Topics covered include microwave instrumentation, such as network analyzers, real-time spectrum analyzers and microwave synthesizers; linear measurements, such as VNA calibrations, noise figure measurements, time domain reflectometry and multiport measurements; and non-linear measurements, such as load- and source-pull techniques, broadband signal measurements, and non-linear NVAs. Each technique is discussed in detail and accompanied by state-of-the-art solutions to the unique technical challenges associated with its use. With each chapter written by internationally recognised experts in the field, this is an invaluable resource for researchers and professionals involved with microw

In this commentary, Ruth Anne Reese offers a multi-disciplinary study of 1 Peter that builds on contemporary scholarship and research methods. She explores the relationship of the letter to the Old Testament, as reflected in the themes of exodus, exile, suffering, and glory. Integrating sociological analysis, she offers insights into the social situation of the letter's audience that have grown out of post-colonial and empire criticism. Reese also explores the themes of majority-minority relationships, non-retaliation, and ethical living. Her study reveals a more subversive character to 1 Peter than is often posited. Written in an accessible style, Reese's commentary provides overviews of important scholarly questions and points readers to a range of potential answers to those questions. It also features a 'Closer Look' section on a significant topic in each passage, as well as 'Bridging the Horizon' sections that connect the ancient context of 1 Peter with the contemporary world.

In this commentary, Ruth Anne Reese offers a multi-disciplinary study of 1 Peter that builds on contemporary scholarship and research methods. She explores the relationship of the letter to the Old Testament, as reflected in the themes of exodus, exile, suffering, and glory. Integrating sociological analysis, she offers insights into the social situation of the letter's audience that have grown out of post-colonial and empire criticism. Reese also explores the themes of majority-minority relationships, non-retaliation, and ethical living. Her study reveals a more subversive character to 1 Peter than is often posited. Written in an accessible style, Reese's commentary provides overviews of important scholarly questions and points readers to a range of potential answers to those questions. It also features a 'Closer Look' section on a significant topic in each passage, as well as 'Bridging the Horizon' sections that connect the ancient context of 1 Peter with the contemporary world.

Word stress has long presented challenges to phonologists, as they have sought to uncover patterns in its distribution, and devise models to account for its behaviour and formal representation both within single languages and cross-linguistically. In this collection, a team of world-renowned researchers present a variety of viewpoints on the methods and problems involved. Offering fresh perspectives on the topic and its study, this book is specifically concerned with basing theoretical work on broad typological surveys and focuses on the collection, selection and use of data in the analysis of word stress and word rhythm, including their phonetic manifestations. An extensive introduction presents a state-of-the-art review of stress research. The contributors also present StressTyp2, a project in an advanced stage of development, which intends to make publicly available information on word stress in a broad sample of languages and will offer new ways of understanding this key research a