Complex Variables and Applications

Chaos control refers to purposefully manipulating chaotic dynamical behaviors of some complex nonlinear systems. There exists no similar control theory-oriented book available in the market that is de

This systematic book covers in simple language the physical foundations of evolution equations, stochastic processes and generalized Master equations applied on complex economic systems, helping to un

Presenting a unified approach to the liquid state, this book focusses on the concepts and theoretical methods that are necessary for an understanding of the physics and chemistry of the fluid state. The authors do not attempt to cover the whole field in an encyclopedic manner. Instead, important ideas are presented in a concise and rigorous style, and illustrated with examples from both simple molecular liquids and more complex soft condensed matter systems such as polymers, colloids, and liquid crystals. After a general chapter introducing the liquid state, the book is in four parts devoted to: thermodynamics; structure and fluctuations; phase transitions, interfaces and inhomogeneous fluids; and, finally, transport and dynamics. Each chapter introduces a new set of closely related concepts and theoretical methods, which are then illustrated by a number of specific applications covering a broad range of physical situations.

Sequential behavior is essential to intelligence in general and a fundamental part of human activities, ranging from reasoning to language, and from everyday skills to complex problem solving. Sequenc

This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches of math

Uncertainty is an ever-present and ineradicable aspect of politics. It affects all important issues of governance and policy, in both domestic and international contexts. Rather than treating the uncertainty of politics as a mystery, this book provides an original and direct treatment of political uncertainty as a scientifically-knowable phenomenon with well-defined principles and substantive properties. Specific applications of this theory of political uncertainty are demonstrated in diverse areas of politics, examining such questions as when and how wars break out, when and how governments collapse, and when and how political cooperation emerges. The author shows how probability and mathematical modeling can play a central role in understanding such complex and fundamental issues.

Uncertainty is an ever-present and ineradicable aspect of politics. It affects all important issues of governance and policy, in both domestic and international contexts. Rather than treating the uncertainty of politics as a mystery, this book provides an original and direct treatment of political uncertainty as a scientifically-knowable phenomenon with well-defined principles and substantive properties. Specific applications of this theory of political uncertainty are demonstrated in diverse areas of politics, examining such questions as when and how wars break out, when and how governments collapse, and when and how political cooperation emerges. The author shows how probability and mathematical modeling can play a central role in understanding such complex and fundamental issues.

This introductory text lays the groundwork for students new to digital circuitry so they will understand basic and complex concepts. Topics are presented in a thorough, yet easy to read manner. Ch

A two-part volume containing a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications, and a detailed review of recent investigations

Focusing on the applied and basic aspects of confined liquid crystals, this book provides a current treatise of the subject matter and places it in the broader context of electrooptic applications. Th

Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure, Green's functions, potentials and capacity. This is an introduction to the subject suitable for beginning graduate students, concentrating on the important case of two dimensions. This permits a simpler treatment than other books, yet is still sufficient for a wide range of applications to complex analysis; these include Picard's theorem, the Phragmén–Lindelöf principle, the Koebe one-quarter mapping theorem and a sharp quantitative form of Runge's theorem. In addition there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics, and gives a flavour of some recent research. Exercises are provided throughout, enabling the book to be used with advanced courses on complex analysis or potential theory.

Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure, Green's functions, potentials and capacity. This is an introduction to the subject suitable for beginning graduate students, concentrating on the important case of two dimensions. This permits a simpler treatment than other books, yet is still sufficient for a wide range of applications to complex analysis; these include Picard's theorem, the Phragmén–Lindelöf principle, the Koebe one-quarter mapping theorem and a sharp quantitative form of Runge's theorem. In addition there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics, and gives a flavour of some recent research. Exercises are provided throughout, enabling the book to be used with advanced courses on complex analysis or potential theory.

Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solut

First published in 1981, this book is an introduction to studies of the behaviour of a wide variety of animals including man, farm animals and pest species. The approach is ethological and much reference is made to detailed description of behaviour and to biological function, although there is extensive reference to physiology, brain mechanisms and relevant psychological research. Ideas from sociobiology, motivation and learning studies are emphasised. There is, therefore, very broad coverage of the role of behaviour in all aspects of life. Another novel feature is the extensive reference to applied aspects of behaviour, particularly its importance to the production of farm animals and the control of agricultural and medical pests. The book is intelligible to the educated layman but it deals with some complex ideas. It is an adequate text for all requirements in this area for most undergraduates.

A clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. It then considers the application

This book demonstrates how to formulate the equations of mechanical systems. Providing methods of analysis of complex mechanical systems, the book has a clear focus on efficiency, equipping the reader with knowledge of algorithms that provide accurate results in reduced simulation time.The book uses Kane's method due to its efficiency, and the simple resulting equations it produces in comparison to other methods and extends it with algorithms such as order-nKane's method compensates for the errors of premature linearization, which are often inherent within vibrations modes found in a great deal of public domain softwareDescribing how to build mathematical models of multibody systems with elastic components, the book applies this to systems such as construction cranes, trailers, helicopters, spacecraft, tethered satellites, and underwater vehiclesIt also looks at topics such as vibration, rocket dynamics, simulation of beams, deflection, and matrix formulationFlexible Multibody Dynamics

Auditory Brainstem Evoked Potentials: Clinical and Research Applications provides a solid foundation of the theoretical principles of auditory evoked potential principles essential for understanding the neural bases of changes in the response indices essential for both the development of optimal clinical test strategies, and interpretation of test results. Developed for graduate-level audiology students, this comprehensive text aims to build a fundamental understanding of auditory evoked brainstem responses (ABR), and their relationship to normal and impaired auditory function, as well as its various Audiologic and Neurootologic applications. In addition to covering the classical onset ABR, the book provides a thorough review of sustained brainstem responses elicited by complex sounds, including auditory steady state response (ASSR), envelope following response (EFR), and frequency following response (FFR), and the growing clinical and research applications of these responses.By explor

Biological systems are extremely complex and have emergent properties that cannot be explained or even predicted by studying their individual parts in isolation. The reductionist approach, although successful in the early days of molecular biology, underestimates this complexity. As the amount of available data grows, so it will become increasingly important to be able to analyse and integrate these large data sets. This book introduces novel approaches and solutions to the Big Data problem in biomedicine, and presents new techniques in the field of graph theory for handling and processing multi-type large data sets. By discussing cutting-edge problems and techniques, researchers from a wide range of fields will be able to gain insights for exploiting big heterogonous data in the life sciences through the concept of 'network of networks'.

Applications of Big Data in Healthcare: Theory and Practice begins with the basics of Big Data analysis and introduces the tools, processes and procedures associated with Big Data analytics. The book unites healthcare with Big Data analysis and uses the advantages of the latter to solve the problems faced by the former. The authors present the challenges faced by the healthcare industry, including capturing, storing, searching, sharing and analyzing data.This book illustrates the challenges in the applications of Big Data and suggests ways to overcome them, with a primary emphasis on data repositories, challenges, and concepts for data scientists, engineers and clinicians. The applications of Big Data have grown tremendously within the past few years and its growth can not only be attributed to its competence to handle large data streams but also to its abilities to find insights from complex, noisy, heterogeneous, longitudinal and voluminous data. The main objectives of Big Data in th

The future will be increasingly distributed. As the publicity surrounding Bitcoin and blockchain has shown, distributed technology and business models are gaining popularity. Yet the disruptive potential of this technology is often obscured by hype and misconception. This detailed guide distills the complex, fast moving ideas behind blockchain into an easily digestible reference manual, showing what's really going on under the hood.Finance and technology pros will learn how a blockchain works as they explore the evolution and current state of the technology, including the functions of cryptocurrencies and smart contracts. This book is for anyone evaluating whether to invest time in the cryptocurrency and blockchain industry. Go beyond buzzwords and see what the technology really has to offer.Learn why Bitcoin was fundamentally important in blockchain's birthLearn how Ethereum has created a fertile ground for new innovations like Decentralized Finance (DeFi), Non-Fungible Tokens (NFTs)

Incremental Sheet Forming (ISF) exempts use of dies and reduces cost for manufacturing complex parts. Sheet metal forming is used for producing high-quality components in automotive, aerospace, and me

The upheavals of recent decades show us that traditional models of understanding processes of social and economic change are failing to capture real-world risk and volatility. This has resulted in flawed policy that seeks to capture change in terms of the rise or decline of regimes or regions. In order to comprehend current events, understand future risks and decide how to prepare for them, we need to consider economies and social orders as open, complex networks. This highly original work uses the tools of network analysis to understand great transitions in history, particularly those concerning economic development and globalisation. Hilton L. Root shifts attention away from particular agents – whether individuals, groups, nations or policy interventions – and toward their dynamic interactions. Applying insights from complexity science to often overlooked variables across European and Chinese history, he explores the implications of China's unique trajectory and ascendency, as a comp

Complex environmental and hydrological processes are characterized by more than one correlated random variable. These events are multivariate and their treatment requires multivariate frequency analysis. Traditional analysis methods are, however, too restrictive and do not apply in many cases. Recent years have therefore witnessed numerous applications of copulas to multivariate hydrologic frequency analyses. This book describes the basic concepts of copulas, and outlines current trends and developments in copula methodology and applications. It includes an accessible discussion of the methods alongside simple step-by-step sample calculations. Detailed case studies with real-world data are included, and are organized based on applications, such as flood frequency analysis and water quality analysis. Illustrating how to apply the copula method to multivariate frequency analysis, engineering design, and risk and uncertainty analysis, this book is ideal for researchers, professionals and

Quickly and productively develop complex Spring applications and microservices out of the box, with minimal concern over things like configurations. This revised book will show you how to fully levera

Memristive Nonlinear Electronic Circuits deals with nonlinear systems in the design and implementation of circuits for generating complex dynamics. The brief proposes a new memristor model using an in

DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics co

This book provides a unique, focused introduction to the analytical skills, methods and techniques in the assessment of credit risk that are necessary to tackle and analyze complex credit problems. It

Attitudes are evaluations of people, places, things, and ideas. They help us to navigate through a complex world. They provide guidance for decisions about which products to buy, how to travel to work

This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of results, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.

Teaches the application of Reactive Transport Modeling (RTM) for subsurface systems in order to expedite the understanding of the behavior of complex geological systems This book lays out the ba

Radar Meteorology: A First Course introduces undergraduate and graduate students to the technology and application of radar in 21st century meteorology and atmospheric sciences. The book, designed to accompany university courses in radar meteorology, will have three distinct parts. In the first part, the reader will be introduced to electromagnetic wave propagation and radar design considerations. This part will then develop the techniques used to retrieve the key quantities central to radar meteorology: the effective radar reflectivity factor, the Doppler radial velocity and spectral width, and polarization variables. The second part will focus on operational meteorological applications, including data quality control, precipitation estimation and hydrometeorological applications, warm season mid-latitude severe weather, cold season hazardous weather, and tropical cyclones. The third part of the book will focus on research applications, including research

A comprehensive guide to automated statistical data cleaning The production of clean data is a complex and time-consuming process that requires both technical know-how and statistical expertise.

With the growth in quantitative finance, financial econometrics has emerged as vitally important field, providing the analytical models to address complex financial product structures, valuation, and

As far as new web frameworks and libraries go, React is quite the runaway success. It not only deals with the most common problems developers face when building complex apps, it throws in a few additi

This book emphasizes the use of four complex plane formalisms (impedance, admittance, complex capacitance, and modulus) in a simultaneous fashion. The purpose of employing these complex planes for han

This book presents recent research on the hybridization of intelligent methods, which refers to combining methods to solve complex problems. It discusses hybrid approaches covering different areas of

Gain a solid understanding of Light-Emitting Diode (LED) Systems Theory with this unique book. Written by a leading expert in LED lighting, it links together the photometric, electrical, thermal and chromatic elements of LED systems into a single, unified framework, and explores their complex interactions with one another. • Get to grips with chromatic, photometric and thermal modelling of LED systems • Discover new techniques for precise dimming and colour control • Learn methods for determining system parameters and internal variables • Gain insight into advanced applications for LED system design and optimization Providing straightforward and intuitive explanations, this is an ideal guide for professional engineers, graduate students and researchers working on solid-state lighting systems and smart lighting, and those taking advanced courses on LED devices and systems.