Applied Complex Variables

In a world as complex as ours, an Integral approach is needed to help sort through a dynamic landscape and respond effectively to individual and collective challenges. Integral Theory in Action provi

The series welcomes book proposals from any domain where the theoretical insights developed in Cognitive Linguistics (CL) have been fruitfully applied. Researchers in different academic fields apply t

Speaking is not only the basic mode of communication, but also the most complex motor skill humans can perform. Disorders of speech and language are the most common sequelae of brain disease or inju

The vast array of molecular level information now available presents exciting opportunities to characterize the genetic underpinnings of complex diseases while discovering novel biological pathways t

In this introduction to commutative algebra, the author leads the beginning student through the essential ideas, without getting embroiled in technicalities. The route chosen takes the reader quickly to the fundamental concepts for understanding complex projective geometry, the only prerequisites being a basic knowledge of linear and multilinear algebra and some elementary group theory. In the first part, the general theory of Noetherian rings and modules is developed. A certain amount of homological algebra is included, and rings and modules of fractions are emphasised, as preparation for working with sheaves. In the second part, the central objects are polynomial rings in several variables with coefficients in the field of complex numbers. After Noether's normalisation lemma and Hilbert's Nullstellensatz, affine complex schemes and their morphisms are introduced; Zariski's main theorem and Chevalley's semi-continuity theorem are then proved. Finally, a detailed study of Weil and Cart

“Simulation-based Case Studies in Logistics” presents an intensive learning course on the application of simulation as a decision support tool to tackle complex logistic problems. The book describes a

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.

This book presents novel graph-theoretic methods for complex computer vision and pattern recognition tasks. It presents the application of graph theory to low-level processing of digital images, prese

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tens

The complex real-world interactions between the economy and the environment form both the focus of and main barrier to applied research within the field of environmental economics. However, geographical information systems (GIS) allow economists to tackle such complexity head on by directly incorporating diverse datasets into applied research rather than resorting to simplifying and often unrealistic assumptions. This innovative book applies GIS techniques to spatial cost-benefit analysis of a complex and topical land use change problem - the conversion of agricultural land to multipurpose woodland - looking in detail at issues such as opportunity costs, timber yield, recreation, carbon storage, etc., and embracing cost-cutting themes such as the evaluation of environmental preferences and the spatial transfer of benefit functions.

This book brings together a collection of articles on statistical methods relating to missing data analysis, including multiple imputation, propensity scores, instrumental variables, and Bay

This book undertakes a general framework within which to consider the complex nature of the writing task in English, both as a first, and as a second language. The volume explores varieties of writing

In this introduction to commutative algebra, the author leads the beginning student through the essential ideas, without getting embroiled in technicalities. The route chosen takes the reader quickly to the fundamental concepts for understanding complex projective geometry, the only prerequisites being a basic knowledge of linear and multilinear algebra and some elementary group theory. In the first part, the general theory of Noetherian rings and modules is developed. A certain amount of homological algebra is included, and rings and modules of fractions are emphasised, as preparation for working with sheaves. In the second part, the central objects are polynomial rings in several variables with coefficients in the field of complex numbers. After Noether's normalisation lemma and Hilbert's Nullstellensatz, affine complex schemes and their morphisms are introduced; Zariski's main theorem and Chevalley's semi-continuity theorem are then proved. Finally, a detailed study of Weil and Cart

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

This book provides applied biologists and ecologists with the mathematical tools they need to understand the ever increasingly mathematical and complex area of population ecology.

ABELIAN FUNCTIONS. Power Series in Several Variables. The Preparation Theorem. Regular Functions. Meromorphic Functions. The Theorem of Weierstrass and Cousin. The Period Group. Jacobian Functions. Li

This introductory guide to ABA demystifies the often complex terminology, the underlying principles, and commonly-used procedures of ABA using accessible, everyday language. This revised and updated

The purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equati

One of the current main challenges in the area of scientific computing? is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent

Agent-based modeling/simulation is an emergent approach to the analysis of social and economic systems. It provides a bottom-up experimental method to be applied to social sciences such as economics,

The simple molecular dynamics used to describe small molecules and chemical kinetics prove insufficient when applied to large, complex molecules such as those found in biology or nanoscale materials.

Agent-based modeling/simulation is an emergent approach to the analysis of social and economic systems. It provides a bottom-up experimental method to be applied to social sciences such as economics,

Agent-based modeling/simulation is an emergent approach to the analysis of social and economic systems. It provides a bottom-up experimental method to be applied to social sciences such as economics,

Complex and controversial, hackers possess a wily, fascinating talent, the machinations of which are shrouded in secrecy. Providing in-depth exploration into this largely uncharted territory, Profilin

Welfel/Leach's "Ethics in Counseling and Psychotherapy," 7th Edition, prepares you to effectively deal with complex ethical and legal issues. The 10-step model for ethical decision-making guides you through complicated ethics cases and challenging dilemmas. This edition places greater emphasis on the non-rational and emotional factors that affect ethical decision-making and practice. Coverage includes legal research and the professional literature of major topics in ethics (consent, confidentiality, competence to practice and multiple relationships) and in applied settings (community mental health, private practice, schools and teaching/research). Among other changes, this edition integrates the abundant recent scholarship on competent practice with diverse clients and the role of technology, social media and online counseling in ethical practice.

Advanced Engineering Mathematics, 11th Edition, is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self-contained subject matter parts for maximum flexibility. It opens with ordinary differential equations and ends with the topic of mathematical statistics. The analysis chapters address: Fourier analysis and partial differential equations, complex analysis, and numeric analysis.The book is written by a pioneer in the field of applied mathematics. This comprehensive volume is designed to equip students and professionals with the mathematical tools necessary to tackle complex engineering challenges and drive innovation. This edition of the text maintains those aspects of the previous editions that have led to the book being so successful.In addition to introducing a new appendix on emerging topics in applied mathematics, each chapter now features a dedicated section on how mathematical modeling and engineering can address environmental an

This book offers step-by-step descriptions of various random systems and explores the world of computer simulations. In addition, this book offers a working introduction to those who want to learn how to create and run Monte Carlo simulations. Monte Carlo simulation has been a powerful computational tool for physics models, and when combined with the programming language Excel, this book is a valuable resource for readers who wish to acquire knowledge that can be applied to more complex systems. Visualization of the simulation results via the Visual Basic built in Microsoft EXCEL is presented as the first step towards the subject. Prior experience with the Excel add-in VBA is kept to a minimum. In addition, a chapter on quantum optimization simulation utilizing Python is added to explore the quantum computation. Readers will gain a fundamental knowledge and techniques of simulation physics, which can be extended to STEM projects and other research projects.

An indispensable resource for organizing solidarity in diverse communities. On the heels of recent revelations of past and ongoing injustices, reconciliation and solidarity between Indigenous and non-Indigenous people are even more urgent. But it is a complex endeavor. In The Solidarity Encounter, Carol Lynne D'Arcangelis takes readers into the fraught terrain of solidarity organizing, bringing together insights from both interviews with activists and current scholarship. Multi-issue coalitions such as Idle No More, #NoDAPL, MMIWG2SQ, Black Lives Matter, and Fridays for Future all depend on the collaboration of diverse communities, even as tensions emerge in the encounter between groups of unequal power. The Solidarity Encounter offers strategies for respecting boundaries, providing a constructive framework for non-colonizing solidarity that can be applied in many contexts.

Using graphics, colored diagrams, and illustrations, Everyday Philosophy Made Easy serves as a calm and patient tutor to help you remember, or learn, the basic theories of philosophy and how they are applied in everyday situations.With this easy-to-follow guide for both adults and students, brush up on the basic philosophical theories and writers that have helped shape Western thinking throughout the ages.From Plato to Socrates, Everyday Philosophy Made Easy provides clear and concise explanations that break down the complex thoughts and explain the main philosophical points in everyday language.Get a quick review of everything you forgot you knew with the Everyday Learning series from Wellfleet Press. Need a refresher course in topics like grammar and philosophy? Then let these handy reference books be your sidekicks on your journey to higher learning. You’ll learn about timeless global topics, as well as the thought leaders responsible for some of the greatest contributions in the wo

Florence Thépot provides the first systematic account of the interaction between competition law and corporate governance. She challenges the 'black box' conception of the firm- or 'undertaking' - in competition law, as applied to increasingly complex corporate relations. The book opens the 'black box' of the firm to understand the internal drivers of collusive behaviour, and proposes a unified approach to cartel enforcement, based on the agency theory. It explores key issues including corporate compliance programmes, the attribution of liability in corporate groups, and structural links between competitors, and should be read by anyone interested in how the evolution of the corporate landscape impacts competition law.

'Non-finiteness' is a phenomenon that occurs in most natural languages, whereby a verb is not inflected by grammatical tense, and does not possess the grammatical features of aspect, mood or voice. Various theories have been developed to explain their distribution and their role in clause structure, but many instances of non-finiteness remain unaccounted for. Taking a functional approach, this study proposes a 'process relation framework' to explain the more complex, previously unaccounted for, instances of non-finiteness in clause structure. It applies the framework comparatively to non-finiteness in English and Chinese, showing how it can be applied across typologically distinct languages. Drawing on corpus-based instances and observations, it introduces numerous thought-provoking cases, in which constructional (or combining) types and the predictability of non-finiteness co-occur. In terms of application, non-finiteness is decisive in categorising language types, and it is critica

There are many ways in which we, as speakers, are creative in how we form and interpret new words. Working across the interfaces of psychology, linguistics, psycholinguistics, and sociolinguistics, this book presents cutting-edge interdisciplinary research, showing how we manipulate the range of linguistic tools at our disposal to create an infinite range of words and meanings. It provides both a theoretical account of creativity in word-formation and word-interpretation, and an experimental framework with the corresponding results obtained from more than seven hundred participants. Data drawn from this vast range of speakers shows how creativity varies across gender and age, and demonstrates the complexity of relationships between the examined variables. Pioneering in its scope, this volume will pave the way for a brand new area of research in the formation and interpretation of complex words.

What explains variation in human language? How are linguistic and social factors related? How do we examine possible semantic differences between variants? These questions and many more are explored in this volume, which examines syntactic variables in a range of languages. It brings together a team of internationally acclaimed authors to provide perspectives on how and why syntax varies between and within speakers, focusing on explaining theoretical backgrounds and methods. The analyses presented are based on a range of languages, making it possible to address the questions from a cross-linguistic perspective. All chapters demonstrate rigorous quantitative analyses, which expose the conditioning factors in language change as well as offering important insights into community and individual grammars. It is essential reading for researchers and students with an interest in language variation and change, and the theoretical framework and methods applied in the study of how and why syntax

Harrison’s Principles of Internal Medicineis the world's most trusted clinical medicine text―and a superb resource for learning the art and science of clinical reasoning. Recognized by healthcare professionals worldwide as the leading authority on applied pathophysiology and clinical medicine,Harrison’s Principles of Internal Medicineprovides the informational foundation you need for the best patient care possible. This new edition is fully updated with timely new chapters and essential updates across the spectrum of internal medicine. Written and edited by the world’s top experts in their respective fields, this landmark guide provides comprehensive, accurate, and essential coverage of the pathogenesis, diagnosis, and treatment of disease. Harrison’s is world-renowned as the most authoritative source for: • Clear, concise schemas that facilitate the generation of differential diagnoses to reason efficiently through complex real world clinical cases• The physiologic and etiologic basis

A multitude of processes in hydrology and environmental engineering are either random or entail random components which are characterized by random variables. These variables are described by frequency distributions. This book provides an overview of different systems of frequency distributions, their properties, and applications to the fields of water resources and environmental engineering. A variety of systems are covered, including the Pearson system, Burr system, and systems commonly applied in economics, such as the D'Addario, Dagum, Stoppa, and Esteban systems. The latter chapters focus on the Singh system and the frequency distributions deduced from Bessel functions, maximum entropy theory, and the transformations of random variables. The final chapter introduces the genetic theory of frequency distributions. Using real-world data, this book provides a valuable reference for researchers, graduate students, and professionals interested in frequency analysis.

Applications of queueing network models have multiplied in the last generation, including scheduling of large manufacturing systems, control of patient flow in health systems, load balancing in cloud computing, and matching in ride sharing. These problems are too large and complex for exact solution, but their scale allows approximation. This book is the first comprehensive treatment of fluid scaling, diffusion scaling, and many-server scaling in a single text presented at a level suitable for graduate students. Fluid scaling is used to verify stability, in particular treating max weight policies, and to study optimal control of transient queueing networks. Diffusion scaling is used to control systems in balanced heavy traffic, by solving for optimal scheduling, admission control, and routing in Brownian networks. Many-server scaling is studied in the quality and efficiency driven Halfin–Whitt regime and applied to load balancing in the supermarket model and to bipartite matching in ri

A concise introduction to geophysical data processing - many of the techniques associated with the general field of time series analysis - for advanced students, researchers, and professionals. The textbook begins with calculus before transitioning to discrete time series via the sampling theorem, aliasing, use of complex sinusoids, development of the discrete Fourier transform from the Fourier series, and an overview of linear digital filter types and descriptions. Aimed at senior undergraduate and graduate students in geophysics, environmental science, and engineering with no previous background in linear algebra, probability, or statistics, this textbook draws scenarios and datasets from across the world of geophysics, and shows how data processing techniques can be applied to real-world problems using detailed examples, illustrations, and exercises (using MATLAB or similar computing environment). Online supplementary resources include datasets for students, and a solutions manual a

Applications of queueing network models have multiplied in the last generation, including scheduling of large manufacturing systems, control of patient flow in health systems, load balancing in cloud computing, and matching in ride sharing. These problems are too large and complex for exact solution, but their scale allows approximation. This book is the first comprehensive treatment of fluid scaling, diffusion scaling, and many-server scaling in a single text presented at a level suitable for graduate students. Fluid scaling is used to verify stability, in particular treating max weight policies, and to study optimal control of transient queueing networks. Diffusion scaling is used to control systems in balanced heavy traffic, by solving for optimal scheduling, admission control, and routing in Brownian networks. Many-server scaling is studied in the quality and efficiency driven Halfin–Whitt regime and applied to load balancing in the supermarket model and to bipartite matching in ri