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Mathematical Aspects of Classical and Celestial Mechanics
In this book we describe the basic principles, problems, and methods of clssical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth first and foremost the “working” apparatus of classical mechanics. This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. Chapter 1 is devoted to the basic mathematical models of classical - chanics that are usually used for describing the motion of real mechanical systems. Special attention is given to the study of motion with constraints and to the problems of realization of constraints in dynamics. In Chapter 3 we discuss symmetry groups of mechanical systems and the corresponding conservation laws. We also expound various aspects of ord- reduction theory for systems with symmetries, which is often used in appli- tions. Chapter 4 is devoted to variational principles and methods of classical mechanics. They allow one, in particular, to obtain non-trivial results on the existence of periodic trajectories. Special attention is given to the case where the region of possible motion has a non-empty boundary. Applications of the variational methods to the theory of stability of motion are indicated.
Matematica generale con il calcolatore
By introducing mathematical objects, it teaches students how to use a computer to perform numerical and symbolic calculations, define a function and calculate its values, plot and explore graphs, and execute simple algorithms. The course is rich in examples, applications, and models, drawn from economics, physics, biology, statistics, and mathematics itself. The analysis of these models constitutes, in a certain sense, the true purpose of the mathematical theory covered. Automatic calculation tools (mathematics software, spreadsheets) are used extensively to explore and illustrate concepts and properties. Mathcad® software, in particular, was used, both as a calculation tool and as a simple yet powerful programming language. Considerable space is devoted to approximation, emphasizing the distinction between numerical and symbolic calculation; to algorithms as a synthesis of the syntactic and semantic aspects of mathematical objects; and to computer simulation, interpreted as a "physical" experiment and a source of conjecture. The ability to use a calculator marks a sort of "democratization" of mathematics: even complex results, which have always required a broad background of knowledge and laborious calculations, are now quickly accessible to anyone who understands the meaning of mathematical objects and knows how to use the syntax.
Marxist Philosophy in China : From Qu Qiubai to Mao Zedong, 1923-1945
The book sets the philosophical writings of philosophers in the context of the development of Marxist philosophy internationally, and examines particularly the influence on these philosophers of Soviet Marxist philosophy. It argues that these Chinese Marxist philosophers’ interpretations of Marxist philosophy were quite orthodox when judged by the standards of contemporary Soviet Marxism. The book explores core themes in Marxist philosophy in China, including the dilemma of determinism, and investigates the way in which these Chinese Marxist philosophers sought a formula for the ‘Sinification’ of Marxist philosophy that both retained the universal dimensions of Marxism and allowed its application to the Chinese context. The book concludes with analysis of the role of the Yanan New Philosophy Association in developing from Soviet Marxist philosophy the philosophical dimension of Mao Zedong Thought, the official ideology of the Chinese Communist Party after 1945.
Making Meaning in English : Exploring the Role of Knowledge in the English Curriculum
Making Meaning in English examines the broader purpose and reasons for teaching English and explores what knowledge looks like in a subject concerned with judgement, interpretation and value. He discusses the principles and tools we can use to make decisions about what to teach and offers a curriculum framework that draws these strands together to allow students to make sense of the knowledge they encounter.
Longer Life and Healthy Aging
Focuses on theoretical issues and empirical findings related to trends and determinants of healthy aging, including factors related to "healthy longevity" of the oldest-old, aged 80 and over. The group is the most rapidly increasing elderly sub-population and is most likely to need assistance in daily living in all countries. Chapters include both longitudinal and cross-sectional data from North America, Europe, and Asia in country-specific studies and cross-national comparisons. Part I focuses on the definition, components, concepts, measurements, and determinants of healthy aging, and discusses the trends and patterns of disability and healthy life expectancy at the macro level. Part II addresses individual healthy aging, including its biological and socio-demographic aspects. Part III focuses on issues concerning the family and healthy aging, and Part IV explores formal and informal care for healthy aging through governmental policy interventions and community service programs.
Lone Parenthood in the Life Course
Provides a comprehensive portrait of lone parenthood at the beginning of the XXI century from a life course perspective. The contributions included in this volume examine the dynamics of lone parenthood in the life course and explore the trajectories of lone parents in terms of income, poverty, labour, market behaviour, wellbeing, and health. Throughout, comparative analyses of data from countries as France, the United Kingdom, Ireland, Germany, Belgium, Sweden, Switzerland, Hungary, and Australia help portray how lone parenthood varies between regions, cultures, generations, and institutional settings. The findings show that one-parent households are inhabited by a rather heterogeneous world of mothers and fathers facing different challenges.
Living with Disfigurement in Early Medieval Europe
Examines social and medical responses to the disfigured face in early medieval Europe, arguing that the study of head and facial injuries can offer a new contribution to the history of early medieval medicine and culture, as well as exploring the language of violence and social interactions. Despite the prevalence of warfare and conflict in early medieval society, and a veritable industry of medieval historians studying it, there has in fact been very little attention paid to the subject of head wounds and facial damage in the course of war and/or punitive justice. The impact of acquired disfigurement —for the individual, and for her or his family and community—is barely registered, and only recently has there been any attempt to explore the question of how damaged tissue and bone might be treated medically or surgically..
Lifelong Learning - Signs, Discourses, Practices
This text explores the different ways in which the various social practices in which people participate becomes signed as learning, how and why that occurs and with what consequences. It takes seriously the linguistic turn in social theory to draw upon semiotics and poststructuralism through which to explore the significance of lifelong learning as an emerging discourse in education. The text explores the different ways in which learning conveys meaning and is given meaning. Given this, lifelong learning therefore is a way, and a significant way, in which learning is fashioned. The text then explores the notion that, if learning is lifelong and lifewide, what precisely is learning as distinct from other social practices and how those practices are given meaning as learning.
Let's talk : How English conversation works
Banter, chit-chat, gossip, natter, tete-a-tete: these are just a few of the terms for the varied ways in which we interact with one another through conversation. David Crystal explores the factors that motivate so many different kinds of talk and reveals the rules we use unconsciously, even in the most routine exchanges of everyday conversation. We tend to think of conversation as something spontaneous, instinctive, habitual.
Lectures on Probability Theory and Statistics : Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003
Contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo’s course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funaki’s course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called nabla varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.
Learning through Community : Exploring Participatory Practices
A collection of case studies that explore the learning that people do through community engagement. Developed within a network of Canadian researchers and their community partners, it explores learning that is organized by the learners themselves, collectively, rather than as individuals. Reflecting the contributors’ political priorities, the volume begins with groups that are highly marginalized in our society: immigrant women, sex trade workers, senior citizens, garment workers, women doing community economic development, and people who identify with disability and anti-poverty movements.
Large Coulomb Systems: Lecture Notes on Mathematical Aspects of QED
A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found. Nevertheless, there are several simplified effective models that successfully describe many body quantum systems and the interaction of radiation with matter. Large Coulomb Systems explores a selection of mathematical topics inspired by QED. It comprises selected, expanded and edited lectures given by international experts at a topical summer school and is intended as a high-level introduction for graduate students, postdocs and nonspecialists from related fields.
Language Production
This comprehensive text presents an up-to-date overview of the key topics in the field, providing important theoretical and empirical challenges to the traditional and accepted modal view of language production. Each chapter explores in detail a different aspect of language production, covering traditional methods including written and signed production alongside emerging research on joint action production. Emphasizing the neurobiological underpinnings of language, chapter authors showcase research that moves from a monologue-only approach to one that that considers production in more ecologically valid circumstances.
Language Choice in a Nation Under Transition : English Language Spread in Cambodia
This book examines language choice in contemporary Cambodia, and uses the case study to explore and evaluate competing explanations for the spread of English globally. the multiple contexts in which Cambodians make individual and institutional language policy choices are considered. Chapters 2 and 3 examine the economic and political contexts for language choice, as Cambodia has transitioned from a planned economy and communism to a market economy and democracy. Chapters 4, 5, and 6 examine the assistance context for language choice; the bilateral, multilateral, and nongovernmental development agencies that have recently begun to work in Cambodia demand certain language skills of Cambodian employees and government counterparts, and support the learning of these languages in both nonformal and formal education.
Lagrangian Transport in Geophysical Jets and Waves : The Dynamical Systems Approach
This book provides an accessible introduction to a new set of methods for the analysis of Lagrangian motion in geophysical flows. These methods were originally developed in the abstract mathematical setting of dynamical systems theory, through a geometric approach to differential equations. Despite the recent developments in this field and the existence of a substantial body of work on geophysical fluid problems in the dynamical systems and geophysical literature, this is the first introductory text that presents these methods in the context of geophysical fluid flow. The book is organized into seven chapters; the first introduces the geophysical context and the mathematical models of geophysical fluid flow that are explored in subsequent chapters. The second and third cover the simplest case of steady flow, develop basic mathematical concepts and definitions, and touch on some important topics from the classical theory of Hamiltonian systems. The fundamental elements and methods of Lagrangian transport analysis in time-dependent flows that are the main subject of the book are described in the fourth, fifth, and sixth chapters. The seventh chapter gives a brief survey of some of the rapidly evolving research in geophysical fluid dynamics that makes use of this new approach. Related supplementary material, including a glossary and an introduction to numerical methods, is given in the appendices.
Lacroix and the Calculus
Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions).
La musica del Big Bang : Come la radiazione cosmica di fondo ci ha svelato i segreti dell’Universo = The music of the Big Bang : How the cosmic background radiation revealed the secrets of the Universe to us
Cosmic microwave background radiation is the residue of the great heat following the Big Bang. A tenuous sign, over 13 billion years old, in which the answers to many of the questions about the nature of our Universe are hidden. Discovered by chance in 1964, in the last forty years this fossil trace of the origins of the Cosmos has been explored with every available means. Two Nobel Prizes in physics have already been awarded for research involving it, the last in 2006 for the results of the COBE satellite. Much of the information encoded in the cosmic background radiation was impressed by the superimposition of acoustic waves present in the early Universe: a "music" of the Big Bang, which cosmologists have tried for years to reconstruct, using techniques similar to those that allow to distinguish the sound of different musical instruments. Only recently have the first notes of this extraordinary cosmic symphony finally been revealed, but the investigation is not over yet. This book illustrates, with a language suitable even for non-specialists, the theories, observations and discoveries that have brought cosmology into a new era.
La correspondance entre Henri Poincaré et les physiciens, chimistes et ingénieurs = The correspondence between Henri Poincaré and physicists, chemists and engineers
Cosmic microwave background radiation is the residue of the great heat following the Big Bang. A tenuous sign, over 13 billion years old, in which the answers to many of the questions about the nature of our Universe are hidden. Discovered by chance in 1964, in the last forty years this fossil trace of the origins of the Cosmos has been explored with every available means. Two Nobel Prizes in physics have already been awarded for research involving it, the last in 2006 for the results of the COBE satellite. Much of the information encoded in the cosmic background radiation was impressed by the superimposition of acoustic waves present in the early Universe: a "music" of the Big Bang, which cosmologists have tried for years to reconstruct, using techniques similar to those that allow to distinguish the sound of different musical instruments. Only recently have the first notes of this extraordinary cosmic symphony finally been revealed, but the investigation is not over yet. This book illustrates, with a language suitable even for non-specialists, the theories, observations and discoveries that have brought cosmology into a new era.
Knowledge from a Human Point of View
Explores some of the historical roots and epistemological ramifications of perspectivism. Perspectivism has recently emerged in philosophy of science as an interesting new position in the debate between scientific realism and anti-realism.
Knowledge and Action
Explores interdependencies between knowledge, action, and space from different interdisciplinary perspectives. Some of the contributors discuss knowledge as a social construct based on collective action, while others look at knowledge as an individual capacity for action. The chapters contain theoretical frameworks as well as experimental outcomes.
