Complex Variables

"A longtime classic text in applied mathematics, this volume also serves as a reference for undergraduate and graduate students of engineering. Topics include real variable theory, complex variables,

In real-life scenarios, service management involves complex decision-making processes usually affected by random or stochastic variables. Under such uncertain conditions, the development and use of ro

Numerical and statistical methods have rapidly become part of a palaeolimnologist’s tool-kit. They are used to explore and summarise complex data, reconstruct past environmental variables from fossil

This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials,

In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjørungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex-valued matrices. The first book examining complex-valued matrix derivatives from an engineering perspective, it uses numerous practical examples from signal processing and communications to demonstrate how these tools can be used to analyze and optimize the performance of engineering systems. Covering un-patterned and certain patterned matrices, this self-contained and easy-to-follow reference deals with applications in a range of areas including wireless communications, control theory, adaptive filtering, resource management and digital signal processing. Over 80 end-of-chapter exercises are provided, with a complete solutions manual available online.

Planning is a critical stage of radiotherapy. Careful consideration of the complex variables involved and critical assessment of the techniques available are fundamental to good and effective practic

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.

Sensory scientists are often faced with making business decisions based on the results of complex sensory tests involving a multitude of variables. Multivariate and Probabilistic Analyses of Sensory S

Although regression models for categorical dependent variables are common, few texts explain how to interpret such models. Regression Models for Categorical Dependent Variables Using Stata, Second Edi

Making the specifics of a complex concern accessible and its handling quite manageable, this fourth edition of the Project and Cost Engineers' Handbook examines the variables associated with internati

A textbook for a year-long graduate course for students at least somewhat familiar with mathematical methods, Fourier series and Fourier integrals, elementary complex variables, elementary ordinary an

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.

Multivariate analysis plays an important role in the understanding of complex data sets requiring simultaneous examination of all variables. Breaking through the apparent disorder of the information,

This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potent

Recent advances in establishing the nature and scope of estimators in econometrics have shed more light on the importance of instrumental variables. In this book, the authors argue that such methods may be regarded as a strong organizing principle for a wide variety of estimation and hypothesis testing problems in econometrics and statistics. In support of this claim they present and develop the methodology of instrumental variables in its most general and explanatory form. They show, for instance, that techniques commonly used to handle simultaneity and related problems can be reduced to one of two generic variables of instrumental variables estimators, allowing them to explore further the conditions under which different proposed estimators are efficient.

This book presents the econometric analysis of single-equation and simultaneous-equation models in which the jointly dependent variables can be continuous, categorical, or truncated. Despite the traditional emphasis on continuous variables in econometrics, many of the economic variables encountered in practice are categorical (those for which a suitable category can be found but where no actual measurement exists) or truncated (those that can be observed only in certain ranges). Such variables are involved, for example, in models of occupational choice, choice of tenure in housing, and choice of type of schooling. Models with regulated prices and rationing, and models for program evaluation, also represent areas of application for the techniques presented by the author.

Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, converge

This well-known little book provides a clear and concise review of general function theory via complex variables. Five main sections offer students valuable background in complex numbers and their geo

This pioneering study combines insights from philosophy and linguistics to develop a novel framework for theorizing about linguistic meaning and the role of context in interpretation. A key innovation is to introduce explicit representations of context - assignment variables - in the syntax and semantics of natural language. The proposed theory systematizes a spectrum of 'shifting' phenomena in which the context relevant for interpreting certain expressions depends on features of the linguistic environment. Central applications include local and non-local contextual dependencies with quantifiers, attitude ascriptions, conditionals, questions, and relativization. The result is an innovative philosophically informed compositional semantics compatible with the truth-conditional paradigm. At the forefront of contemporary interdisciplinary research into meaning and communication, Semantics with Assignment Variables is essential reading for researchers and students in a diverse range of fiel

Trends and Changes in Hydroclimatic Variables: Links to Climate Variability and Change discusses change detection and trend analysis methods used to assess hydroclimatic variables in a changing climat

Originally published in 1977, the aim of this volume was to demonstrate in a concrete way the relevance of some of the most important individual variables for various domains of social behaviour. Emin

Ben Hogan made hitting a golf ball look easy, and the results spoke for themselves. But Hogan’s “swing system” is as complex as a spider’s web; the variables and connections are never-ending. In Ben H

This bookpresents recent results on positivity and optimization of polynomials innon-commuting variables. Researchers in non-commutative algebraic geometry,control theory, system engineering, optimiza

Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a s

Environmental site investigation and characterization is a complex process that often includes a large number of variables, a limited number of resources, and not nearly enough time to complete proper

This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topic

Hans Grauert was one of the world's leading mathematicians in the field of Several Complex Variables; he not only shaped the development of this area decisively but was also responsible for some of it

This four-volume Major Work contains texts which explore both the foundations of latent variables and factor analysis, and specific contemporary challenges in the field.

Ruel V. Churchill 撰寫的複變函數與應用，理論與應用並重，出版以來，風行全球將近半個世紀，深受各界喜愛。本書第九版仍由第八版的作者，美國密西根大學數學系教授James Ward Brown 執筆，他根據多年的教學經驗，擷取各界人士的建議，做了大幅度的修正，使本書除了可當做教科書，也適合參考與自修之用。 本書有兩個主要的目標•首先詳述有關複變函數應用方面的理論。•其次是介紹留數與保角

Hans Grauert was one of the world's leading mathematicians in the field of Several Complex Variables; he not only shaped the development of this area decisively but was also responsible for some of it

The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of

Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a s

From the German preface of R. Remmert: “When kings build their kingdom, there is work for the draymen. Kiyoshi Oka was a king. His kingdom was the function theory of several complex variables. He solv

Ben Hogan made hitting a golf ball look easy, and the results spoke for themselves. But Hogan’s ?swing system” is as complex as a spider’s web; the variables and connections are never-ending. In Ben H

The ideal review for the thousands of electrical engineering college students who enroll in probability, variables, and processes coursesSchaum's Outline of Probability, Random Variables, and Random P

Independent Variables for Optical Surfacing Systems discusses the characterization and application of independent variables of optical surfacing systems and introduces the basic principles of surfacin

Artificial neural networks are most suitable for solving problems that are complex, ill-defined, highly nonlinear, of many and different variables, and/or stochastic. Such problems are abundant in med

The rigorous treatment of combustion can be so complex that the kinetic variables, fluid turbulence factors, luminosity, and other factors cannot be defined well enough to find realistic solutions. Si

Pain is a complex experience, influenced by many variables. There is currently growing interest in the influence of sex and gender on the experience of pain. The fact that there are sex differences in

Due to the countless variables that affect revenue and cost, the hospital reimbursement process is by far the most complex of any industry. Requiring only a basic financial background and a working kn