Methods of Nonlinear Analysis

This book provides students and research workers in the biological, medical and social sciences with the statistical background needed to collect and analyse data in an intelligent and critical manner. Key examples and case studies are used to illustrate commonly encountered research problems and to explain how they may be solved or even avoided altogether. Professor Manly also presents a clear understanding of the opportunities and limitations of different research designs, as well as an introduction to some new methods of analysis that are proving increasingly popular. Topics covered include the differences between observational and experimental studies; the design of sample surveys; multiple regression and its generalizations to log-linear and logistic models; experimental and quasi-experimental designs; interrupted time series; computer intensive methods of statistical inference; and the ethical considerations of research. In the final chapter, there is a useful discussion of how t

The analysis of variance is presented as an exploratory component of data analysis, while retaining the customary least squares fitting methods. Balanced data layouts are used to reveal key ideas and

An interval is a natural way of specifying a number that is specified only within certain tolerances. Interval analysis consists of the tools and methods needed to solve linear and nonlinear systems of equations in the presence of data uncertainties. Applications include the sensitivity analysis of solutions of equations depending on parameters, the solution of global nonlinear problems, and the verification of results obtained by finite-precision arithmetic. In this book emphasis is laid on those aspects of the theory which are useful in actual computations. On the other hand, the theory is developed with full mathematical rigour. In order to keep the book self-contained, various results from linear algebra (Perron-Frobenius theory, M- and H- matrices) and analysis (existence of solutions to nonlinear systems) are proved, often from a novel and more general viewpoint. An extensive bibliography is included.

Classic exposition of modern theories of differentiation and integration and the principal problems and methods of handling integral equations and linear functionals and transformations. Topics includ

Fifty chapters explore the new techniques and approaches to the analysis of tree rings that have developed as the science has grown from its initial application in archaeological dating to the provisi

The Statistical Analysis of Discrete Data provides an up-to-date introduction to methods for analyzing discrete data. The text covers both single-sample problems and problems with structured means whi

Pioneering presentation of basic theory, experimental methods and results, solution of boundary value problems. Six appendices. Updated bibliography.

The advent of electronic computing permits the empirical analysis of economic models of far greater subtlety and rigour than before, when many interesting ideas were not followed up because the calculations involved made this impracticable. The estimation and testing of these more intricate models is usually based on the method of Maximum Likelihood, which is a well-established branch of mathematical statistics. Its use in econometrics has led to the development of a number of special techniques; the specific conditions of econometric research moreover demand certain changes in the interpretation of the basic argument. This book is a self-contained introduction to this field. It consists of three parts. The first deals with general features of Maximum Likelihood methods; the second with linear and nonlinear regression; and the third with discrete choice and related micro-economic models. Readers should already be familiar with elementary statistical theory, with applied econometric res

Researchers often do not analyze nonreplicated experiments statistically because they are unfamiliar with existing statistical methods that may be applicable. Analysis of Messy Data, Volume II details

Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of resul

Bray's monograph considers the multivariate form of analysis of variance (MANOVA). The primary emphasis of the book is on methods for interpreting MANOVA statistical analyses. These are illustrated th

This classic text begins with an overview of matrix methods and their application to the structural design of modern aircraft and aerospace vehicles. Subsequent chapters cover basic equations of elast

This book gives a practical, applications-oriented account of the latest techniques for estimating and analyzing large, nonlinear macroeconomic models. Ray Fair demonstrates the application of these t

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis an

This book describes porous media and how their physical, petrophysical, mechanical, electric and superficial properties are determined. The different measuring methods and the corresponding equipment

These notes originate from a one semester course which forms part of the "Math Methods" cycle at Brown. In the hope that these notes might prove useful for reference purposes several additional sectio

Standard work applies tensorial methods to subjects within realm of advanced college mathematics. Text explains fundamental ideas and notation of tensor theory; covers geometrical treatment of tensor

How to spot patterns, identify opportunities, and grow your technical analysis skillsThe Trading Methodologies of W.D. Gann, Second Edition is a detailed yet accessible guide for trading, forecasting, and investing—using the principles of technical analysis to identify opportunities for profit. Beginning in the early 20th century, W.D. Gann developed pioneering methods of technical analysis that continue to hold value for modern traders. Gann’s insights on interpreting market conditions and recognizing patterns are a valuable addition to any trader’s strategy. The often cryptic nature of Gann’s original publications, however, prove challenging to modern readers. This valuable guide demystifies Gann’s techniques, providing clear and concise explanations and easy-to-follow instructions for today’s traders and investors. Expert trader and technical analyst Hima Reddy draws from her extensive experience to provide a systematic approach to Gann’s methodologies. This revised second edition i

This volume discusses protocols for key laboratory techniques used to study Duchenne and Becker muscular dystrophies. The chapters in this book cover a wide array of topics such as biochemical assays, quantification of dystrophin and related proteins, and measurements of muscle physiology. The chapters also cover methods of DMD sequence analysis; processing and isolation of cells from muscle tissue; culture and study of patient-derived cells; and work with animal models of DMD. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Comprehensive and authoritative, Duchenne Muscular Dystrophy: Methods and Protocols is a valuable resource that will contribute to the standardization of practices in the study of dystrophin and dystrophin-related diseas

This volume covers the latest techniques used to study single nucleotide polymorphisms (SNP) genotyping, such as Sanger sequencing, qPCR, Nanopore sequencing, and PACE. The chapters in this book cover topics such as SNP nomenclature, databases, and significance of SNPs in various fields; PCR-based techniques like HRM and CD-PCR; isothermal amplification methodologies; high-throughput methods like FCS-based SNP genotyping; and guidance of data analysis, emphasizing the importance of quality control, statistical analysis, and visualization. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Cutting-edge and thorough, Genotyping: Methods and Protocols is a valuable resource for both new and experienced researchers who want to gain a deeper underst

Discover a practical, streamlined approach to systems development that focuses on the latest developments with Tilley's Systems Analysis and Design, Cengage International Edition, 13th, and MindTap digital resources. Real examples clearly demonstrate both traditional and emerging approaches to systems analysis and design, including object-oriented and agile methods. You also study emerging technologies such as artificial intelligence (AI), machine learning (ML), cloud computing and cybersecurity. Meaningful projects, insightful assignments and both online and printed exercises emphasize the critical thinking and IT skills that are most important in today's dynamic, business-related environment.

This second edition volume brings together some of the best experts in the field of modern metabolomics to discuss the latest various techniques used to study specific metabolite classes, and metabolomics in bacterial and mammalian systems. The chapters in this book cover topics such as handling big data for metabolite identification and quantification, as well as building pathways for comparison with other omes, Isotopic Ratio Outlier Analysis (IROA) for quantitative analysis; cholesterol and derivatives in ocular tissues using LC-MS/MS methods; microbial metabolites analysis by mass spectrometry; the metabolomic study of tissues in different diseases; and NMR analysis in livestock metabolomics. It also includes several chapters on the emerging area of spatial metabolomics. Written in the highly successful Methods in Molecular Biology series format, the chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily repro

Dynamic stability analysis enables the determination of unstable regions, which adversely affect a structure's durability. Unlike conventional cable-strut frameworks, tensegrity structures are characterized by a system of internal forces that hold the elements in stable equilibrium, so the initial prestress crucially affects the distribution of unstable regions. This book presents both theoretical background and examples to make a full qualitative and quantitative assessment of these structures possible. First, a geometrically non-linear model and the methods used to evaluate the behavior of tensegrity structures are explained, before a broad spectrum of different planar and spatial design solutions is considered. The book moves step-by-step from the simplest two-dimensional structure, for which solutions can be presented in explicit form, to more complex tensegrity structures such as domes, towers, and plates.

This second edition guides readers through experimental and computational techniques on the study of tissue morphogenesis, with a specific focus on techniques to image, manipulate, model and analyze tissue morphogenesis. Chapters focus on imagining analysis of tissue morphogenesis, culture models of tissue morphogenesis, manipulating cells and tissues in vivo, novel model systems to investigate issue morphogenesis and computational models. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and key tips on troubleshooting and avoiding known pitfalls. Authoritative and practical, Tissue Morphogenesis: Methods and Protocols serves as a primary resource for both fundamental and practical understanding of the techniques used to uncover the basis of tissue morphogenesis.

The goal of this Third Edition is the same as previous editions: to provide a good foundation - and a joyful experience! - for anyone who'd like to learn about nonlinear dynamics and chaos from an applied perspective.The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, strange attractors, and synchronization.The prerequisites are comfort with multivariable calculus and linear algebra, as well as a first course in physics.Changes to this edition include substantial exercises about conceptual models of climate change, an updated treatment of the SIR model of epidemics, and amendments (based on recent research) about the Selkov model of oscillatory glycolysis. Equa

The first exhaustive English-language history and analysis of the Chinese opera genre, Kunqu. In Kunqu: A Classical Opera of Twenty-First-Century China, Joseph S. C. Lam offers a holistic and interdisciplinary view of Kunqu, a 600-year-old genre of Chinese opera that has been fashionably performed inside and outside of China. The first comprehensive and scholarly book on Kunqu written in English, this book explains how and why the genre charms and signifies Chinese culture, history, and personhood. Approaching the genre from several perspectives, ranging from those of performers and producers to those of casual audiences, dedicated connoisseurs, and scholarly critics, Lam also employs a judicious blend of Chinese and international theories and methods. Herein, he establishes the significance of Kunqu not only in the sphere of Chinese music but among the cultural heritage and performing arts at a global level as well.

Separation Process Engineering, Fifth Edition is a thorough update of the leading textbook for undergraduate chemical engineering core courses in separation methods or in mass transfer and separations. Phillip K. Wankat's proven approach combines quantitative rigor with a tutorial presentation guided by educational principles and the needs of today's learners. Wankat covers all industrially important purification methods in detail, including newer separation methods largely absent from older texts. Since distillation remains central to most process industries, Wankat thoroughly addresses flash distillation, batch and continuous distillation, multicomponent distillation, extractive and azeotropic distillation, and other techniques, adding valuable new coverage of column flash and cyclic distillation. Readers will also find detailed coverage of other traditional separation methods, including liquid-liquid extraction, absorption, and stripping. The Fifth Edition contains an entirely new c

Corpus linguistics continues to be a vibrant methodology applied across highly diverse fields of research in the language sciences. With the current steep rise in corpus sizes, computational power, statistical literacy and multi-purpose software tools, and inspired by neighbouring disciplines, approaches have diversified to an extent that calls for an intensification of the accompanying critical debate. Bringing together a team of leading experts, this book follows a unique design, comparing advanced methods and approaches current in corpus linguistics, to stimulate reflective evaluation and discussion. Each chapter explores the strengths and weaknesses of different datasets and techniques, presenting a case study and allowing readers to gauge methodological options in practice. Contributions also provide suggestions for further reading, and data and analysis scripts are included in an online appendix. This is an important and timely volume, and will be essential reading for any lingui

Attitudes towards spoken, signed, and written language are of significant interest to researchers in sociolinguistics, applied linguistics, communication studies, and social psychology. This is the first interdisciplinary guide to traditional and cutting-edge methods for the investigation of language attitudes. Written by experts in the field, it provides an introduction to attitude theory, helps readers choose an appropriate method, and guides through research planning and design, data collection, and analysis. The chapters include step-by-step instructions to illustrate and facilitate the use of the different methods as well as case studies from a wide range of linguistic contexts. The book also goes beyond individual methods, offering guidance on how to research attitudes in multilingual communities and in signing communities, based on historical data, with the help of priming, and by means of mixed-methods approaches.

Statistical Methods for Reliability Data, Second Edition (SMRD2) is an essential guide to the most widely used and recently developed statistical methods for reliability data analysis and reliability test planning. Written by three experts in the area, SMRD2 updates and extends the long- established statistical techniques and shows how to apply powerful graphical, numerical, and simulation-based methods to a range of applications in reliability. SMRD2 is a comprehensive resource that describes maximum likelihood and Bayesian methods for solving practical problems that arise in product reliability and similar areas of application. SMRD2 illustrates methods with numerous applications and all the data sets are available on the book’s website. Also, SMRD2 contains an extensive collection of exercises that will enhance its use as a course textbook.The SMRD2's website contains valuable resources, including R packages, Stan model codes, presentation slides, technical notes, information about

Optimization techniques are at the core of data science, including data analysis and machine learning. An understanding of basic optimization techniques and their fundamental properties provides important grounding for students, researchers, and practitioners in these areas. This text covers the fundamentals of optimization algorithms in a compact, self-contained way, focusing on the techniques most relevant to data science. An introductory chapter demonstrates that many standard problems in data science can be formulated as optimization problems. Next, many fundamental methods in optimization are described and analyzed, including: gradient and accelerated gradient methods for unconstrained optimization of smooth (especially convex) functions; the stochastic gradient method, a workhorse algorithm in machine learning; the coordinate descent approach; several key algorithms for constrained optimization problems; algorithms for minimizing nonsmooth functions arising in data science; found

業內公認技術分析「聖經」、全球已授權八種語言譯本美國「特許市場技術分析師」檢覆考試指定讀物證券投資入門必讀經典著作JC財經觀點版主 Jenny《JG說真的》頻道創辦人JG《美股隊長操作秘笈》吳瑞麟――專業推薦《金融市場技術分析》自1997年出版以來，已成為業內人士公認的技術分析「聖經」，並在全球譯為八種語言。這本傑出的金融著作，教導了無數交易者關於技術分析的哲理，以及在股市和期貨的臨場應用。美國市

業內公認技術分析「聖經」、全球已授權八種語言譯本美國「特許市場技術分析師」檢覆考試指定讀物證券投資入門必讀經典著作JC財經觀點版主 Jenny《JG說真的》頻道創辦人JG《美股隊長操作秘笈》吳瑞麟――專業推薦《金融市場技術分析》自1997年出版以來，已成為業內人士公認的技術分析「聖經」，並在全球譯為八種語言。這本傑出的金融著作，教導了無數交易者關於技術分析的哲理，以及在股市和期貨的臨場應用。美國市

Presents the various approaches for static and dynamic analysis of piles and pile groups in one place and in a unified manner and provides a clear picture of these methods for different applications.