Methods of Nonlinear Analysis

These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear mo

In this radically new approach to morphological typology, the authors set out new and explicit methods for the typological classification of languages. Drawing on evidence from a diverse range of languages including Chinantec, Dakota, French, Fur, Icelandic, Ngiti and Sanskrit, the authors propose innovative ways of measuring inflectional complexity. Designed to engage graduate students and academic researchers, the book presents opportunities for further investigation. The authors' data sets and the computational tool that they constructed for their analysis are available online, allowing readers to employ them in their own research. Readers can access the online computational tool through www.cambridge.org/stump_finkel.

This is the second of three volumes of Methods in Molecular Biology that deal with Physical Methods of Analysis. The first of these, Spectroscopic Methods and Analyses dealt with NMR spec- troscopy, m

Addressing basic theory, design, and analysis of micro-toolings and machines, modelling methods and techniques, and integrated approaches for micro-cutting, this book provides practicing engineers wit

Originally published in 1949, as part of the Cambridge Monographs on Physics series, this book acts as a response to J. K. Roberts' 1939 work Some Problems in Adsorption. A. R. Miller applies newer statistical methods of analysis to update Roberts' explanations and take previously overlooked elements into consideration. This volume will be of value to anyone with an interest in adsorption and the history of science.

This concise book for engineering and sciences students emphasizes modern statistical methodology and data analysis. APPLIED STATISTICS FOR ENGINEERS AND SCIENTISTS emphasizes application of methods t

"Focusing on applications rather than theory, this book elucidates the real-life utilization of mathematical modeling and modern mathematical methods, such as bifurcation analysis, dynamical system th

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

This volume gathers together twelve essays on the composera€?s music, reflecting the author's interests in aesthetic and psychological issues, the sacred works, methods of structural analysis, and the

The book gives an introduction to networked control systems and describes new modeling paradigms, analysis methods for event-driven, digitally networked systems, and design methods for distributed est

This introduction to studying comics and graphic novels is a structured guide to a popular topic. It deploys new cognitive methods of textual analysis and features activities and exercises throughout.

This introduction to studying comics and graphic novels is a structured guide to a popular topic. It deploys new cognitive methods of textual analysis and features activities and exercises throughout.

In this landmark contribution to the study of the formation of the modern school, Daniel Trohler applies one of the most recognized methods of historical research to an analysis of the "language" of t

A concise introduction to Feynman diagram techniques, this book shows how they can be applied to the analysis of complex many-particle systems, and offers a review of the essential elements of quantum mechanics, solid state physics and statistical mechanics. Alongside a detailed account of the method of second quantization, the book covers topics such as Green's and correlation functions, diagrammatic techniques and superconductivity, and contains several case studies. Some background knowledge in quantum mechanics, solid state physics and mathematical methods of physics is assumed. Detailed derivations of formulas and in-depth examples and chapter exercises from various areas of condensed matter physics make this a valuable resource for both researchers and advanced undergraduate students in condensed matter theory, many-body physics and electrical engineering. Solutions to exercises are available online.

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

Machine learning is concerned with the analysis of large data and multiple variables. However, it is also often more sensitive than traditional statistical methods to analyze small data. The first vol

The last 20 years have witnessed a proliferation of new approaches in archaeolog- ical data recovery, analysis, and theory building that incorporate both new forms of information and new methods for i

Multi-Finger Haptic Interaction presents a panorama of technologies and methods for multi-finger haptic interaction, together with an analysis of the benefits and implications of adding multiple-finge

For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM).

?This Festschrift in honour of Ursula Gather’s 60th birthday deals with modern topics in the field of robust statistical methods, especially for time series and regression analysis, and with statistic

This book covers the basics of mechanical vibration and rotordynamics, presenting numerical models and analysis methods, loads, pressure fluctuations, instability of hydraulic machines and a system fo

With the signing in 1996 of the Comprehensive Nuclear Test Ban Treaty, interest has grown in forensic seismology: the application of seismology to nuclear test ban verification. This book, based on over 50 years of experience in forensic seismology research, charts the development of methods of seismic data analysis. Topics covered include: the estimation of seismic magnitudes, travel-time tables and epicentres; seismic signal processing; and the use of seismometer arrays. Fully illustrated with seismograms from explosions and earthquakes, the book demonstrates methods and problems of visual analysis. Each chapter provides exercises to help the reader familiarise themselves with practical issues in the field of forensic seismology, and figures and solutions to exercises are also available online. The book is a key reference work for academic researchers and specialists in the area of forensic seismology and Earth structure, and will also be valuable to postgraduates in seismology and s

This is an introduction to time series that emphasizes methods and analysis of data sets. The logic and tools of model-building for stationary and non-stationary time series are developed and numerous

The early people who inhabited Florida developed diverse, hardy, and complex societies. Dramatic archaeological advances in methods of excavation, preservation, and analysis are bringing to light a we

This up-to-date, superbly illustrated book is a practical guide to the effective use of neuroimaging in the patient with sleep disorders. There are detailed reviews of new neuroimaging techniques – including CT, MRI, advanced MR techniques, SPECT and PET – as well as image analysis methods, their roles and pitfalls. Neuroimaging of normal sleep and wake states is covered plus the role of neuroimaging in conjunction with tests of memory and how sleep influences memory consolidation. Each chapter carefully presents and analyzes the key findings in patients with sleep disorders indicating the clinical and imaging features of the various sleep disorders from clinical presentation to neuroimaging, aiding in establishing an accurate diagnosis. Written by neuroimaging experts from around the world, Neuroimaging of Sleep and Sleep Disorders is an invaluable resource for both researchers and clinicians including sleep specialists, neurologists, radiologists, psychiatrists, psychologists.

Data, methods and theories of contemporary social science can be applied to resolve how political outcomes in democratic societies determine the quality of life that citizens experience. Radcliff seeks to provide an objective answer to the debate between left and right over what public policies best contribute to people leading positive and rewarding lives. Radcliff offers an empirical answer, relying on the same canons of reason and evidence required of any other issue amenable to study through social-scientific means. The analysis focuses on the consequences of three specific political issues: the welfare state and the general size of government, labor organization, and state efforts to protect workers and consumers through economic regulation. The results indicate that in each instance, the program of the Left best contributes to citizens leading more satisfying lives and, critically, that the benefits of greater happiness accrue to everyone in society, rich and poor alike.

Data, methods and theories of contemporary social science can be applied to resolve how political outcomes in democratic societies determine the quality of life that citizens experience. Radcliff seeks to provide an objective answer to the debate between left and right over what public policies best contribute to people leading positive and rewarding lives. Radcliff offers an empirical answer, relying on the same canons of reason and evidence required of any other issue amenable to study through social-scientific means. The analysis focuses on the consequences of three specific political issues: the welfare state and the general size of government, labor organization, and state efforts to protect workers and consumers through economic regulation. The results indicate that in each instance, the program of the Left best contributes to citizens leading more satisfying lives and, critically, that the benefits of greater happiness accrue to everyone in society, rich and poor alike.

Bioinformatics brings computational methods to the analysis and processing of genomic data. Bioinformatics: Databases and Systems focuses on the issues of system building and data curation that domina

For centuries, bird guano has played a pivotal role in the agricultural and economic development of Latin America, East Asia and Oceania. As their populations ballooned during the Industrial Revolution, North American and European powers came to depend on this unique resource as well, helping them meet their ever-increasing farming needs. This book explores how the production and commodification of guano has shaped the modern Pacific Basin and the world's relationship to the region. Marrying traditional methods of historical analysis with a broad interdisciplinary approach, Gregory T. Cushman casts this once little-known commodity as an engine of Western industrialization, offering new insight into uniquely modern developments such as environmental consciousness and conservation movements; the ascendance of science, technology and expertise; international relations; and world war.

Recent decades have brought advances in statistical theory for missing data, which, combined with advances in computing ability, have allowed implementation of a wide array of analyses. In fact, so many methods are available that it can be difficult to ascertain when to use which method. This book focuses on the prevention and treatment of missing data in longitudinal clinical trials. Based on his extensive experience with missing data, the author offers advice on choosing analysis methods and on ways to prevent missing data through appropriate trial design and conduct. He offers a practical guide to key principles and explains analytic methods for the non-statistician using limited statistical notation and jargon. The book's goal is to present a comprehensive strategy for preventing and treating missing data, and to make available the programs used to conduct the analyses of the example dataset.

A comprehensive manual on the efficient modeling and analysis of photonic devices through building numerical codes, this book provides graduate students and researchers with the theoretical background and MATLAB programs necessary for them to start their own numerical experiments. Beginning by summarizing topics in optics and electromagnetism, the book discusses optical planar waveguides, linear optical fiber, the propagation of linear pulses, laser diodes, optical amplifiers, optical receivers, finite-difference time-domain method, beam propagation method and some wavelength division devices, solitons, solar cells and metamaterials. Assuming only a basic knowledge of physics and numerical methods, the book is ideal for engineers, physicists and practising scientists. It concentrates on the operating principles of optical devices, as well as the models and numerical methods used to describe them.

Since the publication of the first edition, many new Bayesian tools and methods have been developed for space-time data analysis, the predictive modeling of health outcomes, and other spatial biostati

Machine learning is a novel discipline concerned with the analysis of large and multiple variables data. It involves computationally intensive methods, like factor analysis, cluster analysis, and disc

Recent decades have brought advances in statistical theory for missing data, which, combined with advances in computing ability, have allowed implementation of a wide array of analyses. In fact, so many methods are available that it can be difficult to ascertain when to use which method. This book focuses on the prevention and treatment of missing data in longitudinal clinical trials. Based on his extensive experience with missing data, the author offers advice on choosing analysis methods and on ways to prevent missing data through appropriate trial design and conduct. He offers a practical guide to key principles and explains analytic methods for the non-statistician using limited statistical notation and jargon. The book's goal is to present a comprehensive strategy for preventing and treating missing data, and to make available the programs used to conduct the analyses of the example dataset.

Early Modern Playhouse Manuscripts and the Editing of Shakespeare argues for editing Shakespeare's plays in a new way, without pretending to distinguish authorial from theatrical versions. Drawing on the work of the influential scholars A. W. Pollard and W. W. Greg, Werstine tackles the difficult issues surrounding 'foul papers' and 'promptbooks' to redefine these fundamental categories of current Shakespeare editing. In an extensive and detailed analysis, this book offers insight into the methods of theatrical personnel and a reconstruction of backstage practices in playhouses of Shakespeare's time. The book also includes a detailed analysis of nineteen manuscripts and three quartos marked up for performance - documents that together provide precious insight into how plays were put into production. Using these surviving manuscripts as a framework, Werstine goes on to explore editorial choices about what to give today's readers as 'Shakespeare'.

This important book is an overall analysis of different innovative methods and ways of recycling in connection with various types of materials. It aims to provide a basic understanding about polymer r

The masses of neutron stars are limited by an instability to gravitational collapse and an instability driven by gravitational waves limits their spin. Their oscillations are relevant to x-ray observations of accreting binaries and to gravitational wave observations of neutron stars formed during the coalescence of double neutron-star systems. This volume includes more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics and astronomy with the first self-contained treatment of the structure, stability and oscillations of rotating neutron stars. This monograph treats the equations of stellar equilibrium; key approximations, including slow rotation and perturbations of spherical and rotating stars; stability theory and its applications, from convective stability to the r-mode instability; and numerical methods for computing equilibrium configurations and the nonlinear evolution of their oscillations. The presentation of fundamen

This brief introduces people with a basic background in probability theory to various problems in cancer biology that are amenable to analysis using methods of probability theory and statistics. The

Noise-Driven Phenomena in Hysteretic Systems provides a general approach to nonlinear systems with hysteresis driven by noisy inputs, which leads to a unitary framework for the analysis of various sto

This volume takes its name from a popular series of intensive mathematics workshops hosted at institutions in Appalachia and surrounding areas. At these meetings, internationally prominent set theorists give one-day lectures that focus on important new directions, methods, tools and results so that non-experts can begin to master these and incorporate them into their own research. Each chapter in this volume was written by the workshop leaders in collaboration with select student participants, and together they represent most of the meetings from the period 2006–2012. Topics covered include forcing and large cardinals, descriptive set theory, and applications of set theoretic ideas in group theory and analysis, making this volume essential reading for a wide range of researchers and graduate students.