Methods of Nonlinear Analysis

Of the 300 or so Post-translational modifications (PTMs) known, this book sets out to describe mass spectrometry-based methods for the analysis of some of the most well studied. While the identificati

A new, revised edition of a yet unrivaled work on frequency domain analysisLong recognized for his unique focus on frequency domain methods for the analysis of time series data as well as for his appl

Uniting classical and modern photonics approaches by presenting optical analyses as solutions of Maxwell's equations, this unique book enables students and practising engineers to fully understand the similarities and differences between the different methods. The book begins with a thorough discussion of plane wave analysis, which provides a clear understanding of optics without considering boundary condition or device configuration. It then goes on to cover diffraction analysis of many applications, including a rigorous analysis of TEM waves using Maxwell's equations with boundaries. Laser cavity modes and Gaussian beams are presented, modal analysis is covered, and approximation methods are discussed (including the perturbation technique, coupled mode analysis, and super mode analysis). With theory linked to practical examples throughout, it provides a clear understanding of the interplay between plane wave, diffraction and modal analysis, and how the different techniques can be app

This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze

Written in an easy-to-understand manner, this comprehensive textbook brings together both basic and advanced concepts of numerical methods in a single volume. Important topics including error analysis, nonlinear equations, systems of linear equations, interpolation and interpolation for Equal intervals and bivariate interpolation are discussed comprehensively. The textbook is written to cater to the needs of undergraduate students of mathematics, computer science, mechanical engineering, civil engineering and information technology for a course on numerical methods/numerical analysis. The text simplifies the understanding of the concepts through exercises and practical examples. Pedagogical features including solved examples and unsolved exercises are interspersed throughout the book for better understanding.

Bootstrap methods are computer-intensive methods of statistical analysis, which use simulation to calculate standard errors, confidence intervals, and significance tests. The methods apply for any level of modelling, and so can be used for fully parametric, semiparametric, and completely nonparametric analysis. This 1997 book gives a broad and up-to-date coverage of bootstrap methods, with numerous applied examples, developed in a coherent way with the necessary theoretical basis. Applications include stratified data; finite populations; censored and missing data; linear, nonlinear, and smooth regression models; classification; time series and spatial problems. Special features of the book include: extensive discussion of significance tests and confidence intervals; material on various diagnostic methods; and methods for efficient computation, including improved Monte Carlo simulation. Each chapter includes both practical and theoretical exercises. S-Plus programs for implementing the

Computational techniques have become indispensable tools in solving complex problems in transport phenomena. This book, first published in 1997, provides a clear, user-oriented introduction to the subject. Each self-contained chapter includes a detailed worked example and a discussion of the problem system equations. Also included are the numerical methods used; computer code for the solution of the problem system equations; discussion of the numerical solution with emphasis on physical interpretation; and when appropriate, a comparison of the numerical solution with an analytical solution or a discussion of how the numerical solution goes beyond what can be done analytically, especially for nonlinear problems. Intended for students and a broad range of scientists and engineers, the book includes computer code written in transportable Fortran so that readers can produce the numerical solutions and then extend them to other cases. The programs are also available on the author's web site

To provide useful and meaningful information, long-term ecological programs need to implement solid and efficient statistical approaches for collecting and analyzing data. This volume provides rigorous guidance on quantitative issues in monitoring, with contributions from world experts in the field. These experts have extensive experience in teaching fundamental and advanced ideas and methods to natural resource managers, scientists and students. The chapters present a range of tools and approaches, including detailed coverage of variance component estimation and quantitative selection among alternative designs; spatially balanced sampling; sampling strategies integrating design- and model-based approaches; and advanced analytical approaches such as hierarchical and structural equation modelling. Making these tools more accessible to ecologists and other monitoring practitioners across numerous disciplines, this is a valuable resource for any professional whose work deals with ecologic

To provide useful and meaningful information, long-term ecological programs need to implement solid and efficient statistical approaches for collecting and analyzing data. This volume provides rigorous guidance on quantitative issues in monitoring, with contributions from world experts in the field. These experts have extensive experience in teaching fundamental and advanced ideas and methods to natural resource managers, scientists and students. The chapters present a range of tools and approaches, including detailed coverage of variance component estimation and quantitative selection among alternative designs; spatially balanced sampling; sampling strategies integrating design- and model-based approaches; and advanced analytical approaches such as hierarchical and structural equation modelling. Making these tools more accessible to ecologists and other monitoring practitioners across numerous disciplines, this is a valuable resource for any professional whose work deals with ecologic

This 1983 book records a fascinating analysis of the Solidarity movement in Poland. Alain Touraine here proposes an understanding of the place of social movements in contemporary society, and a fresh means of analysing them through 'sociological intervention'. In 1981 he and a team of researchers applied these research methods to the Solidarity movements. Groups of Solidarity activists were involved in a discourse over the nature and aims of their political and economic struggle. What emerges is a record of exceptional value in understanding the movement which transformed Polish society, placed firmly in the terms of the Solidarity activists' own understanding of their role, but equally relating this role to a broad analysis of the social structures of eastern Europe. This reflection on forty years of Communist regimes in Europe will appeal to a wide readership interested in Solidarity and Poland.

This book presents recent methods for Systems Genetics (SG) data analysis, applying them to a suite of simulated SG benchmark datasets. Each of the chapter authors received the same datasets to evalua

Describes numerical continuation methods that have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. These methods may be used not only t

These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the

During the past decade, the mathematics of superconductivity has been the subject of intense activity. This book examines in detail the nonlinear Ginzburg-Landau functional, the model most commonly u

Stress and accent are central, organizing features of grammar, but their precise nature continues to be a source of mystery and wonder. These issues come to the forefront in the phonetic manifestation of stress and accent, their cross-linguistic variation and the subtle and intricate laws they obey in individual languages. Understanding the nature of stress and accent systems informs all aspects of linguistic theory, methods, typology and especially the grammatical analysis of language data. These themes form the organizational backbone of this book. Bringing together a team of world-renowned phonologists, the volume covers a range of typological and theoretical issues in the study of stress and accent. It will appeal to researchers who value synergistic approaches to the study of stress and accent, careful attention to cross-linguistic variation, and detailed analyzes of both well-studied and understudied languages. The book is a lively testimony of a field of inquiry that shows progr

This valuable collection aims to provide a collection of frequently used statistical methods in the field of proteomics. Although there is a large overlap between statistical methods for the different

Pons presents students, academics, and mathematics professionals with an investigation of the advanced methods of integral calculus utilized in the solving of ordinary and partial differential equatio

This second edition of the highly acclaimed and successful first edition, deals primarily with the analysis of structural engineering systems, with applicable methods to other types of structures. The

This book examines current trends and developments in the methods and applications of geospatial analysis and highlights future development prospects. It provides a comprehensive discussion of remote

This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuu

Presenting a wide variety of methods, this book provides a comprehensive overview of the current state -- ranging from bioanalysis to electrochemical sensing, forensics and chemistry, while also cover

Geared toward advanced undergraduates and graduate students, this text introduces the methods of mathematical analysis as applied to manifolds. In addition to examining the roles of differentiation an

In this title one of the best classical methods of technical analysis is brought up to date. This book offers a modern treatment of Hurst's original system of market cycle analysis. It will teach you

A rigorous introduction to calculus in vector spaces The concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quan

Food Analysis by HPLC, Second Edition presents an exhaustive compilation of analytical methods that belong in the toolbox of every practicing food chemist. Topics covered include biosensors, BMO’s, na

This book provides a select collection of papers written by experts on multiple criteria decision aid and presented at the International Conference on Methods and Applications of Multiple Criteria

This book reviews nonparametric Bayesian methods and models that have proven useful in the context of data analysis. Rather than providing an encyclopedic review of probability models, the book’s stru

Modern Charge-Density Analysis focuses on state-of-the-art methods and applications of electron-density analysis. It is a field traditionally associated with understanding chemical bonding and the ele

A collection of classic and cutting-edge techniques of high utility in answering specific biological questions about amino acids. Common methods include those based on HPLC or gas chromatography separ

Providing an up-to-date picture of the main methods for the quantitative analysis of text, this book begins by overviewing the background and the conceptual foundations of the field. The author then c

The book explores ways in which the formal methods of linguistics can cast light on the structure of verbal interaction, and in particular considers how successive utterances cohere together in contin

From a preeminent authority—a modern and applied treatment of multiway data analysis This groundbreaking book is the first of its kind to present methods for analyzing multiway data by applying multi

This book in the QRM series is designed for a wide variety of research methods courses taught in various departments. It will be of most interest to those in Public Policy, Political Science, and Pub

It is the aim of this book to take undergraduates in science and engineering to an acceptable level of competence in network analysis. The author assumes no previous knowledge of the subject. The book starts from basic physical ideas and progresses through essential network laws and theorems to Fourier and Laplace transform methods of analysing transient and steady-state problems. Traditional transient and alternating-current theory is covered prior to introducing transform methods, since the author believes that the gain in physical insight from such an approach is invaluable. Throughout, the relevance of the analysis to practical electric and electronic circuits is stressed. This book will be of value to students in universities and polytechnics in physics and electrical and electronics engineering departments.

It is the aim of this book to take undergraduates in science and engineering to an acceptable level of competence in network analysis. The author assumes no previous knowledge of the subject. The book starts from basic physical ideas and progresses through essential network laws and theorems to Fourier and Laplace transform methods of analysing transient and steady-state problems. Traditional transient and alternating-current theory is covered prior to introducing transform methods, since the author believes that the gain in physical insight from such an approach is invaluable. Throughout, the relevance of the analysis to practical electric and electronic circuits is stressed. This book will be of value to students in universities and polytechnics in physics and electrical and electronics engineering departments.

Zar’s Biostatistical Analysis, Fifth Edition is the ideal textbook for graduate and undergraduate students seeking practical coverage of statistical analysis methods used by research

Despite the decline of its glamour quotient in recent years, fluid power systems remain attractive in many applications as compared to electrical or mechanical power transmission methods. Nevertheless

First published as What is Quantitative Longitudinal Data Analysis?, this title is now available as part of the Bloomsbury Research Methods series.Across the social sciences, there is widespread agree

First published as What is Quantitative Longitudinal Data Analysis?, this title is now available as part of the Bloomsbury Research Methods series.Across the social sciences, there is widespread agree

This text is an ideal introduction to the use of quantitative methods in archaeology. It outlines conceptual and statistical principles, illustrates their application, and provides problem sets for p