Refine Results
Sort By
From
To
Page 20
Page 20
Complex Variables with Applications
Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. It explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination.
Complex Nonlinearity : Chaos, Phase Transitions, Topology Change and Path Integrals
The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity and chaos. Chapter 4 develops general nonlinear dynamics, continuous and discrete, deterministic and stochastic, in the unique form of path integrals and their action-amplitude formalism.
Complex decision making : Theory and practice
The increasingly complex environment of today's world, characterized by technological innovation and global communication, generates myriads of possible and actual interactions while limited physical and intellectual resources severely impinge on decision makers, be it in the public or private domains. At the core of the decision-making process is the need for quality information that allows the decision maker to better assess the impact of decisions in terms of outcomes, nonlinear feedback processes and time delays on the performance of the complex system invoked.
Complex Analysis : In the Spirit of Lipman Bers
In this book, the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many current and rapidly developing areas of mathematics including the theory of several and infinitely many complex variables, the theory of groups, hyperbolic geometry and three-manifolds, and number theory.
Complex analysis
The guiding principle of this presentation of ``Classical Complex Analysis'' is to proceed as quickly as possible to the central results while using a small number of notions and concepts from other fields. Thus the prerequisites for understanding this book are minimal; only elementary facts of calculus and algebra are required.
Comparative risk assessment and environmental decision making
Decision making in environmental projects is typically a complex and confusing process characterized by trade-offs between socio-political, environmental, and economic impacts. Comparative Risk Assessment (CRA) is a methodology applied to facilitate decision making when various activities compete for limited resources. CRA has become an increasingly accepted research tool and has helped to characterize environmental profiles and priorities on the regional and national level. CRA may be considered as part of the more general but as yet quite academic field of multi-criteria decision analysis (MCDA). Considerable research in the area of MCDA has made available methods for applying scientific decision theoretical approaches to multi-criteria problems, but its applications, especially in environmental areas, are still limited. The papers show that the use of comparative risk assessment can provide the scientific basis for environmentally sound and cost-efficient policies, strategies, and solutions to our environmental challenges.
Comparative Perspectives on Work-Life Balance and Gender Equality : Fathers on Leave Alone
This book portrays men’s experiences of home alone leave and how it affects their lives and family gender roles in different policy contexts and explores how this unique parental leave design is implemented in these contrasting policy regimes. The book brings together three major theoretical strands: social policy, in particular the literature on comparative leave policy developments; family and gender studies, in particular the analysis of gendered divisions of work and care and recent shifts in parenting and work-family balance; critical studies of men and masculinities, with a specific focus on fathers and fathering in contemporary western societies and life-courses. Drawing on empirical data from in-depth interviews with fathers across eleven countries, the book shows that the experiences and social processes associated with fathers’ home alone leave involve a diversity of trends, revealing both innovations and absence of change, including pluralization as well as the constraining influence of policy, gender, and social context.
Comparative Education Research : Approaches and Methods
Approaches and methods in comparative education research are of obvious importance, but do not always receive adequate attention. This book contributes new insights within the longstanding traditions of the field. A particular feature is the focus on different units of analysis. Individual chapters compare places, systems, times, cultures, values, policies, curricula and other units. These chapters are contextualised within broader analytical frameworks which identify the purposes and strengths of the field. The book includes a focus on intra-national as well as cross-national comparisons, and highlights the value of approaching themes from different angles. The book will be of great value not only to producers of comparative education research but also to consumers who wish to understand more thoroughly the parameters and value of the field.
Compactifications of Symmetric and Locally Symmetric Spaces
Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces.
Commutative algebras of Toeplitz Operators on the Bergman Space
This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing their spectral type representations. This yields a powerful research tool giving direct access to the majority of the important properties of the Toeplitz operators studied herein, such as boundedness, compactness, spectral properties, invariant subspaces.
Communications and Discoveries from Multidisciplinary Data
In this book, we aim at urging the development of data-based methods and methodologies for interdisciplinary and creative communications for solving emerging social problems. The reader shall view the direction to combine three methodological frameworks: data mining, data sharing, and communication in the contexts of sciences and businesses.
Communication Systems
Presents main concepts of mobile communication systems, both analog and digitalIntroduces concepts of probability, random variables and stochastic processes and their applications to the analysis of linear systemsIncludes five appendices covering Fourier series and transforms, GSM cellular systems and more
Communicating with One Another : Toward a Psychology of Spontaneous Spoken Discourse
In other words, this book is a call for a paradigm shift in the study of oral communication. It is a must read for people interested in language use, as well as for specialists in language studies. "The authors have identified crucial theoretical and methodological assumptions that have hampered scholarship on language use. Their critical assessment is grounded in nuanced theoretical analysis and rigorous empirical studies. As a result, they reveal the complexity, elegance, and moral aspects of day to day dialogical communication."
Climate Change Impacts for the Conterminous USA : An Integrated Assessment
In this volume, an improved Integrated Assessment methodology is used to analyse climate change impacts on agriculture, water resources, unmanaged ecosystems, irrigation, and land use in the United States and the economic implications of these impacts. This book contains a series of papers documenting the methods, models, analysis and results of this integrated assessment for a wide ranging set of scenarios describing future climate change. Innovations described include the integration of water resource and agricultural modeling and the refinement of an agriculture and land-use economics model to incorporate results from process-level ecosystem models of agriculture, water and natural ecosystem resources. Scenarios selected for this study address a range of uncertainties associated with choice of climate model, presence or absence of a ‘CO2-fertilization effect’, impacts on international trade in agricultural commodities and their consequences for producers and consumers.
Climate Adaptation Modelling
This book focuses on an issue only marginally tackled by this literature: the still existing gap between adaptation science and modelling and the possibility to effectively access and exploit the information produced by policy making at different levels, international, national and local.
Classification and Clustering for Knowledge Discovery
This book covers recent advances in unsupervised and supervised data analysis methods in Computational Intelligence for knowledge discovery. In its first part the book provides a collection of recent research on distributed clustering, self organizing maps and their recent extensions. If labeled data or data with known associations are available, we may be able to use supervised data analysis methods, such as classifying neural networks, fuzzy rule-based classifiers, and decision trees. Therefore this book presents a collection of important methods of supervised data analysis. "Classification and Clustering for Knowledge Discovery" also includes variety of applications of knowledge discovery in health, safety, commerce, mechatronics, sensor networks, and telecommunications.
Classical Methods of Statistics : With Applications in Fusion-Oriented Plasma Physics
Classical Methods of Statistics is a blend of theory and practical statistical methods written for graduate students and researchers interested in applications to plasma physics and its experimental aspects. It can also fruitfully be used by students majoring in probability theory and statistics. In the first part, the mathematical framework and some of the history of the subject are described. Many exercises help readers to understand the underlying concepts. In the second part, two case studies are presented exemplifying discriminant analysis and multivariate profile analysis. The introductions of these case studies outline contextual magnetic plasma fusion research. In the third part, an overview of statistical software is given and, in particular, SAS and S-PLUS are discussed. In the last chapter, several datasets with guided exercises, predominantly from the ASDEX Upgrade tokamak, are included and their physical background is concisely described. The book concludes with a list of essential keyword translations.
Circuit and Interconnect Design for RF and High Bit-Rate Applications
Circuit and Interconnect Design for RF and High Bit-rate Applications covers each of these topics from theory to practice, with sufficient detail to help you produce circuits that are ‘first-time right’. A thorough analysis of the interplay between on-chip circuits and interconnects is presented.
Chemoinformatics : Theory, Practice, & Products
Chemoinformatics: Theory, Practice & Products covers theory, commercially available packages and applications of Chemoinformatics. Chemoinformatics is broadly defined as the use of information technology to assist in the acquisition, analysis and management of data and information relating to chemical compounds and their properties.The book also provides a summary of currently available, state-of-the-art, commercial Chemoinformatics products, with a specific focus on databases, toolkits, and modelling technologies designed for drug discovery.
Chemical Reactor Modeling : Multiphase Reactive Flows
Chemical Reactor Modeling closes the gap between Chemical Reaction Engineering and Fluid Mechanics. It presents the fundamentals of the single-fluid and multi-fluid models for the analysis of single- and multiphase reactive flows in chemical reactors with a chemical reactor engineering rather than mathematical bias.
