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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.
Lagrangian and Hamiltonian Methods for Nonlinear Control 2006 ; Proceedings from the 3rd IFAC Workshop, Nagoya, Japan, July 2006
A Differential-Geometric Approach for Bernstein’s Degrees-of-Freedom Problem.- Nonsmooth Riemannian Optimization with Applications to Sphere Packing and Grasping.- Synchronization of Networked Lagrangian Systems.- An Algorithm to Discretize One-Dimensional Distributed Port Hamiltonian Systems.- Virtual Lagrangian Construction Method for Infinitedimensional Systems with Homotopy Operators.- Direct Discrete-Time Design for Sampled-Data Hamiltonian Control Systems.- Kinematic Compensation in Port-Hamiltonian Telemanipulation.- Interconnection and Damping Assignment Passivity-Based Control of a Four-Tank System.- Towards Power-based Control Strategies for a Class of Nonlinear Mechanical Systems.- Power Shaping Control of Nonlinear Systems: A Benchmark Example.- Total Energy Shaping Control of Mechanical Systems: Simplifying the Matching Equations via Coordinate Changes.- Simultaneous Interconnection and Damping Assignment Passivity–Based Control: Two Practical Examples.
Labyrinth of Thought : A History of Set Theory and Its Role in Modern Mathematics
Labyrinth of Thought discusses the emergence and development of set theory and the set-theoretic approach to mathematics during the period 1850-1940. Rather than focusing on the pivotal figure of Georg Cantor, it analyzes his work and the emergence of transfinite set theory within the broader context of the rise of modern mathematics. The text has a tripartite structure.A new Epilogue for this second edition offers further reflections on the foundations of set theory, including the "dichotomy conception" and the well-known iterative conception.
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 loi de la gravitation universelle Newton, Euler et Laplace : Le cheminement d’une révolution scientifique vers une science normale = The law of universal gravitation Newton, Euler and Laplace : The progress of a scientific revolution towards a normal science
An analysis of Newton's ideas dismisses this hypothesis by the simple fact that the Principia sought to demonstrate the fallacy of earlier approaches. However, Newton suffered a failure in the application of his theory of gravitation to the explanation of the movement of the Moon, failure which marked the development of celestial mechanics throughout the 18th century. Clairaut, d'Alembert and Euler doubted the validity of Newtonian law almost at the same time and their ideas advanced celestial mechanics which reached the state of "normal science" with Laplace's treatise on celestial mechanics, a century after Newton.
L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld = The isomorphism between the Lubin-Tate and Drinfeld towers
This book contains a detailed and complete demonstration of the existence of an equivariate isomorphism between the Lubin-Tate and Drinfeld p-adic turns. The result is established in equal and unequal characteristics. There is also given as an application a proof that the equivariant cohomologies of these two turns are isomorphic, a result which has applications to the study of the local Langlands correspondence. During the proof, reminders and complements are given on the structure of the two preceding moduli spaces, the p-divisible formal groups and the p-adic rigid analytical geometry.
K-Theory : An Introduction
From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch considered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological K-theory" that this book will study. Topological K-theory has become an important tool in topology. Using K- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from K-theory.
Kramers-Kronig Relations in Optical Materials Research
This is the first one-volume work to provide a thorough and comprehensive description of the physical background, rigorous theory and applications of Kramers-Kronig relations in the fields of linear and nonlinear optical spectroscopy. Currently, Kramers-Kronig relations have become basic tools in the investigation of the optical properties of materials. A brief presentation of the related data-retrieval technique, the maximum entropy method, is also given. The contents and style potentially make this a standard text for physicists, chemists and engineers interested in optical-materials research and development.
Knowledge Representation Techniques : A Rough Set Approach
The basis for the material in this book centers around a long term research project with autonomous unmanned aerial vehicle systems. One of the main research topics in the project is knowledge representation and reasoning. The focus of the research has been on the development of tractable combinations of approximate and nonmonotonic reasoning systems. The techniques developed are based on intuitions from rough set theory. Efforts have been made to take theory into practice by instantiating research results in the context of traditional relational database or deductive database systems.
Knowledge and Networks
This book discusses a core question in many fields of the social sciences, namely how to create, share and adopt new knowledge. It creates an original space for conversation between two lines of research that have developed largely in parallel for a long time: social network theory and the geography of knowledge. This book considers that relational thinking has become increasingly important for scholars to capture societal outcomes by studying social relations and networks, whereas the role of place, space and spatial scales has been somewhat neglected outside an emergent geography of knowledge.
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.
Knot Theory and Its Applications
The book contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials; also included are key newer developments and special topics such as chord diagrams and covering spaces. The work introduces the fascinating study of knots and provides insight into applications to such studies as DNA research and graph theory. In addition, each chapter includes a supplement that consists of interesting historical as well as mathematical comments.
Kernel Based Algorithms for Mining Huge Data Sets : Supervised, Semi-supervised, and Unsupervised Learning
"Kernel Based Algorithms for Mining Huge Data Sets" is the first book treating the fields of supervised, semi-supervised and unsupervised machine learning collectively. The book presents both the theory and the algorithms for mining huge data sets by using support vector machines (SVMs) in an iterative way. It demonstrates how kernel based SVMs can be used for dimensionality reduction (feature elimination) and shows the similarities and differences between the two most popular unsupervised techniques, the principal component analysis (PCA) and the independent component analysis (ICA).
Karl Schuhmann, Selected papers on phenomenology
Selected papers on phenomenology offers the best work in this field by the acclaimed historian of philosophy, Karl Schuhmann (1941-2003),Topics covered include the development of Husserl's concept of intentionality, Husserl and Indian philosophy, the origins of speech act theory in Munich phenomenology, the historical background of the notion of "phenomenology", and Johannes Daubert's critique of Martin Heidegger,This book brings together, in chronological arrangement, fourteen papers. Though thirteen of these were published before in some form, several were not easily accessible so far. In addition, a substantial piece of research, Schuhmann's chronicle of Johannes Daubert.
Junge Perspektiven der Türkeiforschung in Deutschland = Young perspectives of Turkey research in Germany
This volume creates an interdisciplinary forum for contemporary Turkey research in Germany. It presents research results from young scientists who are characterized by a fresh view of Turkey, methodological diversity and interdisciplinary approaches. The volume thus contributes to a better understanding of the society, politics, economy, history and culture of the country, which is playing an increasingly important role both regionally and in the European context.
Jets from Young Stars II : Clues from High Angular Resolution Observations
This volume contains the edited lecture notes of the Second JETSET School on Jets from Young Stars: Clues from High Angular Resolution Observations organised by the Marie Curie Research Training Network JETSET: Jet Simulations, Experiments and Theory. After the opening two chapters on jet emission, readers can learn the fundamental background of modern high-spatial-resolution techniques, and how such methods have impacted on our understanding of young stars.
Jets from Young Stars : Models and Constraints
This volume contains the edited lecture notes of the First JETSET School on Jets from Young Stars: Models and Constraints, held by the Marie Curie Research and Training Network on JET Simulations, Experiments and Theory. At this school the lecturers gave an introduction to observational properties and basic models describing the launching and collimation mechanisms of jets.
IUTAM Symposium on Computational Physics and New Perspectives in Turbulence ; Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, Nagoya University, Nagoya, Japan, September, 11-14, 2006
Leading experts in turbulence were brought together at this Symposium to exchange ideas and discuss, in the light of the recent progress in computational methods, new perspectives in our understanding of turbulence. The Symposium also fostered a vigorous interaction between those who pursue computations, and those concerned with developments in experiment and theory.
Israel Gohberg and Friends : On the Occasion of his 80th Birthday
It is an expression of esteem and friendship for a great mathematician, a remarkable person and an inspiring colleague. The book contains reflections by Gohberg himself on his own mathematical activities and those of others. It also includes contributions of colleagues and co-workers, both from his time in the Soviet Union and from when he lived and worked in the West. The contributions in question are not mathematical research papers but focus on the man Israel Gohberg and are intended for a wide audience.
Complicities : A theory for subjectivity in the psychological humanities
The book examines how we might develop a more socially just psychological theory and practice, which is both systems work and intra-psychological work. In bringing together ways of thinking developed in the humanities with clinical psychotherapeutic practice, this book offers one interdisciplinary take on key questions of social and emotional efficacy in action-oriented psychotherapy work.
