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An Introduction to Manifolds

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology.

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An Introduction to Infinite-Dimensional Analysis

In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction – for an audience knowing basic functional analysis and measure theory but not necessarily probability theory – to analysis in a separable Hilbert space of infinite dimension.Starting from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate some basic stochastic dynamical systems (including dissipative nonlinearities) and Markov semi-groups, paying special attention to their long-time behavior: ergodicity, invariant measure. Here fundamental results like the theorems of  Prokhorov, Von Neumann, Krylov-Bogoliubov and Khas'minski are proved. The last chapter is devoted to gradient systems and their asymptotic behavior.

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An Introduction to Echo Analysis : Scattering Theory and Wave Propagation

The use of various types of wave energy is an increasingly promising, non-destructive means of detecting objects and of diagnosing the properties of quite complicated materials. An analysis of this technique requires an understanding of how waves evolve in the medium of interest and how they are scattered by inhomogeneities in the medium. These scattering phenomena can be thought of as arising from some perturbation of a given, known system and they are analysed by developing a scattering theory. This monograph provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems.

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Amino acids and the asymmetry of life : Caught in the act of formation

This book describes how the basic building blocks of life, the amino acids, formed. After a comprehensible introduction into stereochemistry, the author addresses the inherent property of amino acids in living organisms, namely the preference for left-handedness. What was the cause for violation of parity of amino acids in the emergence of life on Earth? All the fascinating models proposed by physicists, chemists and biologist are vividly presented including the scientific conflicts.

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Algebraic Methods for Nonlinear Control Systems

A self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students.The most popular treatment of control for nonlinear systems is from the viewpoint of differential geometry yet this approach proves not to be the most natural when considering problems like dynamic feedback and realization. Professors Conte, Moog and Perdon develop an alternative linear-algebraic strategy based on the use of vector spaces over suitable fields of nonlinear functions. This algebraic perspective is complementary to, and parallel in concept with, its more celebrated differential-geometric counterpart.Algebraic Methods for Nonlinear Control Systems describes a wide range of results, some of which can be derived using differential geometry but many of which cannot.

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Air quality in airplane cabins and similar enclosed spaces

The editor of this volume invited a wide range of experts to provide an in-depth treatment of virtually all aspects of aircraft cabin air quality. The topics are covered at a level comprehensible to all who fly as well as being of sufficient depth to be informative to decision makers concerned with purchase, design, operation, and servicing of passenger aircraft. Topics are grouped under: Control of Aircraft Cabin Air Quality; Possible Effects of Low Humidity, Decreased Outside Air Flows; and Effects of Some Aircraft Malfunctions on Cabin Air Quality. The volume concludes with Air Quality Systems for Related Enclosed Spaces, in which chapters cover air quality in buildings, ships, submarines, and spacecraft, which provide novel approaches potentially applicable to aircraft.

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Affirmative aesthetics and wilful women : Gender, space and wobility in contemporary cinema

Adopts a fluid approach to space designed to accommodate wilful, affirmative, and imaginative perspectives of gender on screen.

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Aerosol Optics : Light Absorption and Scattering by Particles in the Atmosphere

Provides a comprehensive review of available techniques for the remote sensing of aerosols. Although mostly satellite remote sensing is considered, ground-based techniques are also discussed.describes techniques for the determination of the column concentration of aerosol particles and their optical sizing using spaceborne optical instrumentation. The majority of the techniques described in this book use a so-called "library method". This method relies upon the precalculated top-of-atmosphere reflectances (TOAR) for vaious atmospheric aerosol types. The comparison of measured and calculated TOARS allows one to characterize the optically-equivalent aerosol state.

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Advances in verification of time Petri Nets and timed automata : A temporal logic approach

This monograph presents a comprehensive introduction to timed automata (TA) and time Petri nets (TPNs) which belong to the most widely used models of real-time systems. Some of the existing methods of translating time Petri nets to timed automata are presented, with a focus on the translations that correspond to the semantics of time Petri nets, associating clocks with various components of the nets. "Advances in Verification of Time Petri Nets and Timed Automata – A Temporal Logic Approach" introduces timed and untimed temporal specification languages and gives model abstraction methods based on state class approaches for TPNs and on partition refinement for TA. Moreover, the monograph presents a recent progress in the development of two model checking methods, based on either exploiting abstract state spaces or on application of SAT-based symbolic techniques.

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Advances in Urban Ecology : Integrating Humans and Ecological Processes in Urban Ecosystems

The future of Earth’s ecosystems is increasingly influenced by the pace and patterns of urbanization. One of the greatest challenges for natural and social scientists is to understand how urbanizing regions evolve through the complex interactions between humans and ecological processes. Questions and methods of inquiry specific to our traditional disciplinary domains yield partial views that reflect different epistemologies and understandings of the world. In order to achieve the level of synthesis required to see the urban ecosystem as a whole we must change the way we pose questions and search for answers. Cities are the result of human and ecological processes occurring simultaneously in time and in space and the legacy of the simultaneous processes of the past. Urban ecology is the study of the co-evolution of human-ecological systems. Scholars of both urban systems and ecology must challenge the assumptions and world views within their disciplines and work towards a hybrid theory that builds on multiple world views.

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Advances in Telerobotics

The main purpose of this book is to provide readers with recent advances in the field of Telerobotics. It describes methods, experimental results, applications, and developments, highly relevant for scientists, researchers, and students in Teleoperation. This book is structured in three parts: I. Human System Interfaces, II. Control, and III. Applications. Chapters in part I concentrate on human interface technology which allows a human operator to close the control loop of a remote robot. Topics related to control algorithms - in particular for the case with time delay in the communication network - are the focus in part II, concentrating on bilateral control methods. Part III presents a variety of advanced applications in surgery, space, and other fields relevant to everyday life.

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Advances in Meteoroid and Meteor Science

This volume is a compilation of articles that summarize the most recent results in meteor, meteoroid and related fields presented at the Meteoroids 2007 conference held at the impressive CosmoCaixa Science Museum in Barcelona, Spain. The conference took place between the 11th and the 15th of June and was organized by the Institute of Space Sciences (Consejo Superior de Investigaciones Científicas, CSIC) and the Institut d'Estudis Espacials de Catalunya (IEEC). Researchers in meteor science and supporting fields representing more than 20 countries participated at this international conference.

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Advanced strategies in control systems with Input and Output Constraints

The different techniques described throughout the book are particularly attractive for industrial applications not only in aeronautical or space domains but also in the context of biological systems domain. Such methods are well suited for the development of tools that help engineers to solve analysis and synthesis problems in the context of control systems with input and output constraints

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Advanced Linear Algebra

The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with many important applications.

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Advanced BDD Optimization

This book gives a modern presentation of the established as well as of recent concepts. Latest results in BDD optimization are given, c- ering di?erent aspects of paths in BDDs and the use of e?cient lower bounds during optimization. The presented algorithms include Branch ? and Bound and the generic A -algorithm as e?cient techniques to - plore large search spaces. ? The A -algorithm originates from Arti?cial Intelligence (AI), and the EDA community has been unaware of this concept for a long time. Re- ? cently, the A -algorithm has been introduced as a new paradigm to explore design spaces in VLSI CAD. Besides AI search techniques, the book also discusses the relation to another ?eld of activity bordered to VLSI CAD and BDD optimization: the clausal representation as a SAT problem.

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Adhesive Bonding of Aircraft Composite Structures: Non-destructive Testing and Quality Assurance Concepts

This book is under a CC BY 4.0 license. It presents the results of the ComBoNDT European project, which aimed at the development of more secure, time- and cost-saving extended non-destructive inspection tools for carbon fiber reinforced plastics, adhered surfaces and bonded joints. The book reports the optimal use of composite materials to allow weight savings, reduction in fuel consumptions, savings during production and higher cost efficiency for ground operations.

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Addressing the Climate Crisis : Local action in theory and practice

This book brings together a collection of cutting-edge insights into how action can and is already being taken against climate change at multiple levels of our societies, amidst growing calls for transformative and inclusive climate action. In an era of increasing recognition regarding climate and ecological breakdown, this book offers hope, inspiration and analyses for multi-level climate action, spanning varied communities, places, spaces, agents and disciplines, demonstrating how the energy and dynamism of local scales are a powerful resource in turning the tide.

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A window on the future of geodesy ; Proceedings of the International Association of Geodesy. IAG General Assembly, Sapporo, Japan June 30 - July 11, 2003

These proceedings represent the worldwide picture of the state of the art of geodesy. The volume comprehensively covers the most recent results and supplies a good review of the new ideas developing in the field, opening a window to the future of geodesy.

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A Space of Their Own : The Archaeology of Nineteenth Century Lunatic Asylums in Britain, South Australia and Tasmania

The history of lunatic asylums – what do we really know about them? Films and television programs have portrayed them as places of horror where the patients are restrained and left to listen to the cries of their fellow inmates in despair. But what was the world of nineteenth century lunatic asylums really like? Are these images true? This book will explore this world using the techniques of historical archaeology and history.

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A Software-Defined GPS and Galileo Receiver : A Single-Frequency Approach

Satellite navigation receivers are used to receive, process, and decode space-based navigation signals, such as those provided by the GPS constellation of satellites. There is an increasing need for a unified open platform that will enable enhanced receiver development and design, as well as cost-effective testing procedures for various applications. This book provide hands-on exploration of new technologies in this rapidly growing field. One of the unique features of the work is the interactive approach used, giving readers the ability to construct their own Global Navigation Satellite Systems (GNSS) receivers. To construct such a reconfigurable receiver with a wide range of applications, the authors discuss receiver architecture based on software-defined radio (SDR) techniques. The presentation unfolds in a systematic, user-friendly style and goes from the basics to cutting-edge research.

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