Methods of Nonlinear Analysis

This two-volume handbook uniquely brings together information on the key methodologies used in the analysis of agrochemical residues and current best practices, while also giving numerous examples of

This graduate text provides an intuitive but rigorous treatment of contemporary methods used in microeconometric research. The book makes clear that applied microeconometrics is about the estimation

An insightful examination of the numerical methods used to develop finite element methods A Variational Approach to Structural Analysis provides readers with the underpinnings of the finite element me

Monte Carlo methods are revolutionizing the on-line analysis of data in many fileds. They have made it possible to solve numerically many complex, non-standard problems that were previously intractabl

Statistical Shape Analysis involves methods for the geometrical study of random objects where location, rotation and scale information can be removed. The book lays the foundations of the subject disc

What are the issues at stake in women's health and local political activism across the globe? In this major analysis of women's empowerment and its relationship to health, Jane Stein looks at the fact

What are the issues at stake in women's health and local political activism across the globe? In this major analysis of women's empowerment and its relationship to health, Jane Stein looks at the fact

A text for students who are familiar with advanced and numerical mathematics, initial value problems for differential equations, elements of the theory of functions of real variables, and methods of l

The approach to many problems in economic analysis has drastically changed with the development and dissemination of new and more efficient computational techniques. Computational Economic Systems: Mo

This book examines the application of complex analysis methods to the theory of prime numbers. In an easy to understand manner, a connection is established between arithmetic problems and those of zer

This book introduces the methods of synoptic climatology - the relationship between the atmospheric circulation and the surface environment - and shows the vital importance of this approach in the und

Using applied general equilibrium methods to analyze recent debates about the conduct of US foreign trade policy, de Melo and Tarr show that in terms of costs to the economy and to consumers, non-tari

Introduces engineers and engineering students to several new methods of finite element analysis, a decision-making process used in the aerospace industry. Focusing on developments during the 1980s, pr

Addresses some of the basic questions in numerical analysis: convergence theorems for iterative methods for both linear and nonlinear equations; discretization error, especially for ordinary different

Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, b

This new edition of a standard in the field is the most complete treatment available on modern methods of accident investigation. The investigation process is divided into three phases: preparation a

This book addresses two significant research areas in an interdependent fashion. It is first of all a comprehensive but concise text that covers the recently developed and widely applicable methods of

This book addresses two significant research areas in an interdependent fashion. It is first of all a comprehensive but concise text that covers the recently developed and widely applicable methods of

This book provides an overview of meta-analysis methodology to prepare students and researchers to conduct high quality meta-analyses of public health and medical studies. The methods are supported by

Rely on Letting Data Lead by Eileen Depka to help you build a culture of school data analysis and interpretation, assessment for learning, and student achievement. This practical resource clearly outl

This book investigates e-learning practices at American and Australian institutes of higher learning, their status quo, best-practice examples, and remaining issues. Utilizing a mixed-methods approach

Featuring a detailed analysis of current approval requirements and the relevant safety assessment methods for gas cylinders in general and with main focus on composite cylinders for storing compressed

This book covers the application of the OCRA (Occupational Repetitive Actions) method. The methods make up a system dedicated to the analysis and management of the risk of biomechanical overload of th

There is substantial interest in the application of different statistical methods to model and understand population genetic data. This book aims to fill the vacant niche in books dealing with the app

Qualitative research (QR) is the method of inquiry that seeks to understand social phenomena within the context of the participants' perspectives and experiences. The research methods of QR are more f

Along with providing a useful discussion of categorical data analysis techniques, this book shows how to apply these methods with the SAS System. The authors include practical examples from a broad ra

The methods of discrete choice analysis and their applications in the modelling of transportation systems constitute a comparatively new field that has largely evolved over the past 15 years. Since it

Table of Contents:1. The Sixteenth and Early Seventeenth Centuries.- 1.1. Introduction.- 1.2. Napier and Logarithms.- 1.3. Briggs and His Logarithms.- 1.4. Bürgi and His Antilogarithms.- 1.5. Interpolation.- 1.6. Vieta and Briggs.- 1.7. Kepler.- 2. The Age of Newton.- 2.1. Introduction.- 2.2. Logarithms and Finite Differences.- 2.3. Trigonometric Tables.- 2.4. The Newton-Raphson and Other Iterative Methods.- 2.5. Finite Differences and Interpolation.- 2.6. Maclaurin on the Euler-Maclaurin Formula.- 2.7. Stirling.- 2.8. Leibniz.- 3. Euler and Lagrange.- 3.1. Introduction.- 3.2. Summation of Series.- 3.3. Euler on the Euler-Maclaurin Formula.- 3.4. Applications of the Summation Formula.- 3.5. Euler on Interpolation.- 3.6. Lunar Theory.- 3.7. Lagrange on Difference Equations.- 3.8. Lagrange on Functional Equations.- 3.9. Lagrange on Fourier Series.- 3.10. Lagrange on Partial Difference Equations.- 3.11. Lagrange on Finite Differences and Interpolation.- 3.12. Lagrange on Hidden Periodicit

A compelling new portrait of one of the ancient world滻 most famous and consequential figures By any measure, Julius Caesar is one of the most significant and well-known figures in ancient Roman history. Self-identified as a "popular" politician, he advocated for effective government to better the lives of the average Roman; however, he believed this government could not be based upon the existing democracy, which he regarded as corrupt and inefficient. It could only be through his personal management and the massive organization he built to overthrow the government that he could ensure the prosperity of all Romans. Through a careful analysis of the ancient sources, including Caesar's own writings, David Potter offers us a stunning and original portrait of the general and statesman's character and methods. He shows Caesar as a highly organized manager with an extraordinary ability to adjust to circumstances while maintaining a steady equivalent of an ancient media presence that attracte

This book is compiled according to the requirements of technical skills and theoretical knowledge for the advanced lathe worker in the revised national vocational qualification standard. This book introduces four modules, including machining long lead screw and worm, eccentric parts and multi-throw crankshaft, machining gearbox, and machining assembly, with tasks and subtasks in each module, with regard to the workpiece diagram recognition, processing analysis and calculation of various parts, such as long lead screw, multi-start thread, multi-line worms, double eccentric parts, four-throw crankshaft, gear reducer, worm gear reducer, bevel gears, bisector parts, mold, combined shaft and kit, as well as their clamping and positioning methods, processing methods, dimensional and geometric accuracy test methods, surface quality assurance methods, common quality problems and preventive measures or solutions, etc.This book can be used as a teaching book for mechanical, mechatronics,etc. app

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book has served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references.Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory （the possible branching of solutions as parameters vary）, including the proof of Rabinowitz's global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems.After more than 20 years, this book continues to be an excellent

Knowledge Engineering for Innovation and Sustainability is an interdisciplinary examination, not only of knowledge engineering, but also innovation, allowing environmental scientists to gain a better understanding of technological solutions and innovative methods. It is organized in a methodical way, first by defining sustainability and innovation, then by laying out a conceptual framework. The book goes on to explore causality and systems thinking for examining a particular phenomenon, and then presents processes for analysis and design. Finally, it lays out the narrative of sustainability as well as what needs to be done to ensure the future of sustainability. By applying key concepts of innovation and knowledge engineering to sustainability problems, Knowledge Engineering for Innovation and Sustainability provides a structured approach to putting theory into practice for sustainable development.

Nanomaterials possess special mechanical, electrical, and electronic properties. As a result, nanomaterials play a significant role in various nanoelectromechanical systems. Some of these materials include nanoparticles, nanowires, nanotubes, nanotube resonators, and nanoactuators. These structures are broadly utilized in civil, mechanical, and aerospace engineering. The dynamic analysis of nanostructures is important, because one must have knowledge about the mechanical behaviours to get an accurate prediction of dynamic characteristics. Conducting experiments at the nanoscale size is both complicated and expensive. Therefore, the development of appropriate mathematical models for the study of the dynamic behaviour of nanostructures is important. These models/problems are governed by linear/nonlinear differential equations which are not always possible to solve analytically. This deficiency compels us to search for numerical and computational methods. This book provides a detailed exp

Road Traffic Modelling and Management: Using Statistical Monitoring and Deep Learning provides a framework for understanding and enhancing road traffic monitoring and management. It examines both the commonly used traffic analysis methodologies as well the emerging ones that use deep learning methods. The book also shows how to understand statistical models and machine learning algorithms, and how to apply them to traffic modelling, estimation, forecasting and traffic congestion monitoring. Providing both a theoretical framework along with practical technical solutions, Road Traffic Modelling and Management: Using Statistical Monitoring and Deep Learning is for researchers and practitioners who want to improve the performance of intelligent transportation systems.

This book focuses on analysis of credit risk, derivatives, equity investments, portfolio management, quantitative methods, and risk management. In terms of application, this book can be used as a

Elasticity: Theory, Applications, and Numerics, Fourth Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as treatment of large deformations, fracture mechanics, strain gradient and surface elasticity theory, and tensor analysis. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions.Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides.

This book explores the interaction between corpus stylistics and translation studies. It shows how corpus methods can be used to compare literary texts to their translations, through the analysis of J

The core baseline of Intelligence-led Policing is the aim of increasing efficiency and quality of police work, with a focus on crime analysis and intelligence methods as tools for informed and objecti

Preprocessing, or data reduction, is a standard technique for simplifying and speeding up computation. Written by a team of experts in the field, this book introduces a rapidly developing area of preprocessing analysis known as kernelization. The authors provide an overview of basic methods and important results, with accessible explanations of the most recent advances in the area, such as meta-kernelization, representative sets, polynomial lower bounds, and lossy kernelization. The text is divided into four parts, which cover the different theoretical aspects of the area: upper bounds, meta-theorems, lower bounds, and beyond kernelization. The methods are demonstrated through extensive examples using a single data set. Written to be self-contained, the book only requires a basic background in algorithmics and will be of use to professionals, researchers and graduate students in theoretical computer science, optimization, combinatorics, and related fields.