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Complex Numbers from A to … Z
It is impossible to imagine modern mathematics without complex numbers. Complex Numbers from A to . . . Z introduces the reader to this fascinating subject that, from the time of L. Euler, has become one of the most utilized ideas in mathematics.The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interpretation of complex numbers and the operations involving them.The theoretical parts of the book are augmented with rich exercises and problems at various levels of difficulty. A special feature of the book is the last chapter, a selection of outstanding Olympiad and other important mathematical contest problems solved by employing the methods already presented.The book reflects the unique experience of the authors. It distills a vast mathematical literature, most of which is unknown to the western public, and captures the essence of an abundant problem culture.
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 Medical Engineering
In the twenty-first century, applications in medicine and engineering must acquire greater safety and flexibility if they are to yield better products at higher efficiency. To this end, complex science and technology must be integrated in medicine and engineering. Complex medical engineering (CME) is a new field that merges medical science and technology, and includes biomedical robotics and biomechatronics, complex virtual technology in medicine, information and communication technology in medicine, complex technology in rehabilitation, cognitive neuroscience and technology, and complex bioinformatics. Experts from academia, industry, and government research laboratories who have pioneered CME ideas and technologies describe its concept and research approach and discuss related hardware and software, science and technology, and medicine and engineering. This book will be invaluable to scientists, researchers, and graduates in the emerging field of CME.
Complex Inorganic Solids : Structural, Stability, and Magnetic Properties of Alloys
One the key aspects of this volume is to cut across the traditional taxonomy of disciplines in the study of alloys. Hence there has been a deliberate attempt to integrate the different approaches taken towards alloys as a class of materials in different fields, ranging from geology to metallurgical engineering. The emphasis of this book is to highlight commonalities between different fields with respect to how alloys are studied. The topics in this book fall into several themes, which suggest a number of different classification schemes. We have chosen a scheme that classifies the papers in the volume into the categories Microstructural Considerations, Ordering, Kinetics and Diffusion, Magnetic Considerations and Elastic Considerations. The book has juxtaposed apparently disparate approaches to similar physical processes, in the hope of revealing a more dynamic character of the processes under consideration. This monograph will invigorate new kinds of discussion and reveal challenges and new avenues to the description and prediction of properties of materials in the solid state and the conditions that produce them
Complex Geometry : An Introduction
Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it an highly attractive area, both for mathematicians and theoretical physicists. The book contains detailed accounts of the basic concepts and the many exercises illustrate the theory. Appendices to various chapters allow an outlook to recent research directions.
Complex Engineered Systems : Science Meets Technology
This volume examines the difficulties that arise in creating highly complex engineered systems and new approaches that are being adopted. Topics addressed range from the formal representation and classification of distributed networked systems to revolutionary engineering practices inspired by biological evolution. By bringing together the latest research in Complex Engineered Systems, this book sheds light on the current state and future course of this emerging field.
Complex Dynamics in Communication Networks
Computer and communication networks are among society's most important infrastructures. The internet, in particular, is a giant global network of networks without central control or administration. It is a paradigm of a complex system, where complexity may arise from different sources: topological structure, network evolution, connection and node diversity, or dynamical evolution. The present volume is the first book entirely devoted to the new and emerging field of nonlinear dynamics of TCP/IP networks. It addresses both scientists and engineers working in the general field of communication networks.
Complex dynamics : Advanced system dynamics in complex variables
Complex Dynamics: Advanced System Dynamics in Complex Variables is a graduate-level monographic textbook. It is designed as a comprehensive introduction into methods and techniques of modern complex-valued nonlinear dynamics with its various physical and non-physical applications.
Complex Computing-Networks : Brain-like and Wave-oriented Electrodynamic Algorithms
This book uniquely combines new advances in the electromagnetic and the circuits&systems theory. It integrates both fields regarding computational aspects of common interest. Emphasized subjects are those methods which mimic brain-like and electrodynamic behaviour; among these are cellular neural networks, chaos and chaotic dynamics, attractor-based computation and stream ciphers.
Complex Artificial Environments : Simulation, Cognition and VR in the Study and Planning of Cities
This book explores the possibilities of applying the theories of complexity and self-organization developed to account for various phenomena in the natural science to artifacts traditionally the realm of humanities and social sciences. The emphasis of this volume is on the development of cities and the impact of these methods on urban simulation methods.
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.
Competencies, Higher Education and Career in Japan and the Netherlands
This book investigates how social and cultural factors affect the education, training and career development of graduates of higher education in Japan and the Netherlands. Despite their different historical paths, both countries are now subject to the common pressure of globalization. As a result, the higher education sector in both countries is becoming more universal and available to a larger population, and the economy and society are becoming increasingly knowledge-intensive. The aim of this book is to explore how Dutch and Japanese graduates choose and develop their careers in reference to the above-mentioned challenges. It is based on a unique data set consisting of surveys held among graduates 3 and 8 years after leaving higher education.
Compendium of Theoretical Physics
Mechanics, Electrodynamics, Quantum Mechanics, and Statistical Mechanics and Thermodynamics comprise the canonical undergraduate curriculum of theoretical physics. In Compendium of Theoretical Physics, Armin Wachter and Henning Hoeber offer a concise, rigorous and structured overview that will be invaluable for students preparing for their qualifying examinations, readers needing a supplement to standard textbooks, and research or industrial physicists seeking a bridge between extensive textbooks and formula books. The authors take an axiomatic-deductive approach to each topic, starting the discussion of each theory with its fundamental equations. By subsequently deriving the various physical relationships and laws in logical rather than chronological order, and by using a consistent presentation and notation throughout, they emphasize the connections between the individual theories. The reader’s understanding is then reinforced with exercises, solutions and topic summaries.
Compendium of Chemical Warfare Agents
In This book, Compendium of Chemical Warfare Agents, author Steven L. Hoenig provides all the necessary information that First Responders, Hospitals, HazMat Teams, Fire and Rescue Services, and other First Responders need to know when dealing with dangerous chemical agents.Coverage includes health effects, physical characteristics, hazards from reactivity, protection of personnel, and general first aid for each agent. The book provides quick and easy access to critical data on chemical warfare agents, both at the scene of release and in the laboratory.
Compendium for Early Career Researchers in Mathematics Education
The book provides a state-of-the-art overview of important theories from mathematics education and the broad variety of empirical approaches currently widely used in mathematics education research.
Comparative Third Sector Governance in Asia : Structure, Process, and Political Economy
The book – the first of its kind – establishes new theory and knowledge in the area of third sector organizations (TSOs) in Asia. The main purpose of this book is to draw the attention of Asia's TSOs on the importance of good governance. It documents variety of approaches, and identifies socio-cultural, economic, and political dynamics and impacts of different models of TSO governance. The combined information from the contributions in this work will ensure the sustainability of TSOs throughout Asia.
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 Environmental Politics
The book explores five major topics: state-society relations; environmental non-governmental organizations (ENGOs); Green parties and environmental movements; institutions of government and policy-making; variations in the capacities of states to protect the environment; and national responses to global problems. It compares and contrasts rich and poor nations, large and small countries, liberal democracies and authoritarian states.
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.
