الصفحة 2
الصفحة 2
Methods and Applications of Singular Perturbations : Boundary Layers and Multiple Timescale Dynamics
Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences.In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems.
Ion Implantation and Synthesis of Materials
This book presents the physics and materials science of ion implantation and ion beam modification of materials. It covers ion-solid interactions used to predict ion ranges, ion straggling and lattice disorder. Also treated are shallow-junction formation and slicing silicon with hydrogen ion beams. Topics important for materials modification, such as ion-beam mixing, stresses, and sputtering, are also described.
Investing in e-Health : What it Takes to Sustain Consumer Health Informatics
Investing in eHealth: What it Takes to Sustain Consumer Health Informatics examines the evolution of the IHCS and the significant changes in organizational culture and operational systems that may be required for successful and sustained implementation. This book culminates a set of general guidelines for any health care provider striving to successfully employ the model, and suggests directions for future research on the diffusion of IHCSs and related technologies. Investing in eHealth provides a principled approach to support health care managers, clinicians, and educators interested in complementing clinical services with interactive health communication systems (IHCSs).
Introduzione al Calcolo Scientifico : Esercizi e problemi risolti con MATLAB = Introduction to scientific computing : Exercises and problem solved with MATLAB
Introduces the fundamental concepts for the numerical modeling of partial differential problems. We consider the classic linear elliptic, parabolic and hyperbolic equations, but also other equations, such as those of diffusion and transport, of Navier-Stokes, and the conservation laws. Numerous physical examples underlying these equations are provided, their main mathematical properties are studied, then numerical resolution methods based on finite elements, finite differences, finite volumes and spectral methods are proposed and analyzed. In particular, the algorithmic and computer implementation aspects are discussed and some easy-to-use programs in C ++ language are provided. The text does not presuppose an advanced mathematical knowledge of partial differential equations: the strictly indispensable concepts in this regard are reported in the Appendix. THE VOLUME is therefore suitable for students of scientific degree courses (Engineering, Mathematics, Physics, Chemistry, Information Sciences) and recommended for researchers from the academic and extra-academic world who want to approach this interesting branch of applied mathematics.
Introduction to Wave Scattering, Localization and Mesoscopic Phenomena
Waves represent a classic topic of study in physics, mathematics, and engineering. Many modern technologies are based on our understanding of waves and their interaction with matter. In the past thirty years there have been some revolutionary developments in the study of waves. The present volume is the only available source which details these developments in a systematic manner, with the aim of reaching a broad audience of non-experts. It is an important resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena, as well as for bridging the gap between the textbooks and research frontiers in any wave related topic. A special feature of this volume is the treatment of classical and quantum mechanical waves within a unified framework, thus facilitating an understanding of similarities and differences between the two.
Introduction to Stochastic Integration
The theory of stochastic integration, also called the Ito calculus, has a large spectrum of applications in virtually every scientific area involving random functions, but it can be a very difficult subject for people without much mathematical background. The Ito calculus was originally motivated by the construction of Markov diffusion processes from infinitesimal generators. Previously, the construction of such processes required several steps, whereas Ito constructed these diffusion processes directly in a single step as the solutions of stochastic integral equations associated with the infinitesimal generators. Moreover, the properties of these diffusion processes can be derived from the stochastic integral equations and the Ito formula. This introductory textbook on stochastic integration provides a concise introduction to the Ito calculus
Introduction to Partial Differential Equations: A Computational Approach
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses.
Introduction to Optics
Since the discovery of the laser in 1960 and optical fibers in 1970, optics has undergone dramatic changes that accentuate its multi-disciplinary character. This text covers essential concepts and reports the key developments and progress in current knowledge in the field. Inspired by the style of Richard Feynman, the method of presentation emphasizes "telling" optics, rather than deducing it from fundamental laws, as well as tactfully using mathematical tools so as not to obscure the physical phenomena of interest. For its excellent teaching approach, the book received the Arnulf-Francon Award of the French Optical Society. The concepts are formulated in a way such that the necessary mathematical tools do not hinder comprehension of the phenomena. Global in vision, the book can also be used as a reference. In addition to the traditional aspects of optics, it includes the tools and methods currently used by researchers and engineers, as well as explanation and implications of the most recent developments.
Introduction to Nursing Informatics
In the series, eminent experts, as editors or authors, offer their accounts of innovations in health informatics. Increasingly, these accounts go beyond hardware and software toaddresstheroleofinformationinin?uencingthetransformationofheal- caredeliverysystemsaroundtheworld.Theseriesalsowillincreasinglyfocus on “peopleware” and the organizational, behavioral, and societal changes that accompany the diffusion of information technology in health services environments.
International trade theory : Capital, knowledge, economic structure, money, and prices over time
The development of international trade theory has created a wide array of different theories, concepts and results. Economic students are trained to understand international interactions by severally incompatible theories one by one in the same course. In order to overcome incoherence among multiple theories, we need a general theoretical framework which enables us to account for the phenomena explained by the current theories in a unified manner to draw together all of the disparate branches of trade theory into a single organized system of knowledge. This book provides a powerful – but easy to operate - engine of analysis that sheds light not only on trade theory per se, but on many other dimensions that interact with trade, including inequality, saving propensities, education, research policy, and knowledge. The book starts with the traditional static trade theories. Then, it develops dynamic models with capital and knowledge under perfect competition and/or monopolistic competition.
Interacting Stochastic Systems
The Research Network on "Interacting stochastic systems of high complexity" set up by the German Research Foundation aimed at exploring and developing connections between research in infinite-dimensional stochastic analysis, statistical physics, spatial population models from mathematical biology, complex models of financial markets or of stochastic models interacting with other sciences. This book presents a structured collection of papers on the core topics, written at the close of the 6-year programme by the research groups who took part in it. The structure chosen highlights the interweaving of certain themes and certain interconnections discovered through the joint work.
Innovation, Networks, and Knowledge Spillovers : Selected Essays
The volume is in three parts. The first part demonstrates that the processes of innovation and technological change are spatially differentiated, both regionally within countries and internationally between countries. The second part broadens, both conceptually and empirically, our understanding of the innovation process and the process of network formation, by examining the increasing importance of knowledge creation and diffusion in the new economy and how this is changing the nature of firms in crucial ways. Particular focus is laid on identifying the growing pressures for firms to develop more inter- and intrafirm networks and on providing lucid illustrations of these different kinds of networks. The third part discusses key issues related to the systems of innovation approach as a conceptual framework for regional innovation analysis and directs attention to enlightening conceptual and empirical work on the issue how knowledge spills over locally.
Innovation, Industrial Dynamics and Structural Transformation : Schumpeterian Legacies
This book provides an account of work in the Schumpeterian and evolutionary tradition of industrial dynamics and the evolution of industries. It is shown that over time industries evolve and change their structure. In this dynamic process change is affected and sometimes constraint by many factors: knowledge and technologies, the capabilities and incentives of actors, new products and processes, and institutions. All these elements and their relations drive innovative activities and affect economic performance in an industry. Investigations into these complex phenomena show a deep interdependence between empirical work delivering a rich account of regularities and stylized facts in the structure of industries and their change, and theoretical analyses ranging from appreciate theorizing to formal modeling.
Innovation Policy in a Knowledge-Based Economy : Theory and Practice
Why Analyze Innovation Policies From a Knowledge- Based Perspective? It is broadly accepted that we have moved (or are moving) to a knowled- based economy, characterized at least by two main features: that knowl edge is a major factor in economic growth, and innovation processes are systemic by nature. It is not surprising that this change in the economic paradigm requires new analytical foundations for innovation policies. One of the purposes of this book is to make suggestions as to what they should include. Underpinning all the chapters in this book is a conviction of the impor tance of dynamic and systemic approaches to innovation policy. Nelson and Arrow saw innovation and the creation of new knowl edge as the emergence and the diffusion of new information, characterized essentially as a public good. The more recent theoretical literature regarded the rationale for innovation policies as being to provide solutions to "mar ket failures". Today, however, knowledge is seen as multidimensional (tacit vs. codified) and open to interpretation. Acknowledging that the creation, coordination and diffusion of knowledge are dynamic and cumu lative processes, and that innovation processes result from the coordination of distributed knowledge, renders the "market failure" view of innovation policies obsolete. Innovation policies must be systemic and dynamic
Informatics for the Clinical Laboratory : A Practical Guide
This series is directed to healthcare professionals who are leading the tra- formation of health care by using information and knowledge. Launched in 1988 as Computers in Health Care, the series offers a broad range of titles: some addressed to specific professions such as nursing, medicine, and health administration; others to special areas of practice such as trauma and radi- ogy. Still other books in the series focus on interdisciplinary issues, such as the computer-based patient record, electronic health records, and networked healthcare systems. Renamed Health Informatics in 1998 to reflect the rapid evolution in the discipline now known as health informatics, the series will continue to add titles that contribute to the evolution of the field. In the series, eminent - perts, serving as editors or authors, offer their accounts of innovations in health informatics. Increasingly, these accounts go beyond hardware and so- ware to address the role of information in influencing the transformation of healthcare delivery systems around the world. The series also increasingly focuses on “peopleware” and the organizational, behavioral, and societal changes that accompany the diffusion of information technology in health services environments.
In Memoriam Paul-André Meyer - Séminaire de Probabilités XXXIX
The 39th volume of Séminaire de Probabilités is a tribute to the memory of Paul André Meyer. His life and achievements are recalled in this book, and tributes are paid by his friends and colleagues. This volume also contains mathematical contributions to classical and quantum stochastic calculus, the theory of processes, martingales and their applications to mathematical finance and Brownian motion. These contributions provide an overview on the current trends of stochastic calculus.
Image processing based on partial differential equations ; Proceedings of the International Conference on PDE-Based Image Processing and Related Inverse Problems, CMA, Oslo, August 8-12, 2005
The book contains twenty-two original scienti?c research articles that address the state-of-the-art in using partial di?erential equations for image and signal processing. The articles arose from presentations given at the inter- tional conference on PDE-Based Image Processing and Related Inverse Pr- lems, held at the Centre of Mathematics for Applications, University of Oslo, Norway, August 8-12, 2005.
Heat and Mass Transfer
This comprehensive textbook provides readers with a firm foundation in the principles of heat and mass transfer and shows them how to solve problems by applying modern methods. The basic theory is developed systematically, and the solution methods to all important problems are covered in detail. The second edition incorporates state-of-the-art findings on heat and mass transfer correlations. Therefore, this book will be useful not only to upper- and graduate-level students, but also to practicing scientists and engineers. Many worked-out examples and numerous exercises with their solutions will facilitate learning and understanding, and an appendix includes data on key properties of important substances.
Hamiltonian dynamical systems and applications
This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems as well as the theory of Hamiltonian systems in infinite dimensional phase space; these are described in depth in this volume. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field, including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope for realistic long time stability results, the development of KAM theory for partial differential equations in one and in higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion.
Global Pathways to Education : Cultural Spheres, Networks, and International Organizations
The research presented in this volume is a wide-ranging analysis and explanation of the dynamics of emergence, diffusion, and change in relation to state education systems. The chapters offer an empirical investigation into whether the global diffusion of Western-rational educational content and organizational forms occurs as expected by neoinstitutionalist theory, or whether culturally specific developmental paths dominate in different parts of the world.
