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Algèbre, Chapitre 4 à 7 = Algebra, Chapter 4 to 7
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. Deals in particular with extensions of fields and Galois theory. It includes the chaptires: 4. Polynomials and rational fractions; 5. Commutative bodies 6. Orderly groups and bodies; 7. Modules on the main rings
Algebraic Geometry and Number Theory : In Honor of Vladimir Drinfeld's 50th Birthday
One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups.These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.
Algebraic Analysis of Differential Equations : from Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai Editors
This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the international conference "Algebraic Analysis of Differential Equations – from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. Microlocal analysis and exponential asymptotics are intimately connected and provide powerful tools that have been applied to linear and non-linear differential equations as well as many related fields such as real and complex analysis, integral transforms, spectral theory, inverse problems, integrable systems, and mathematical physics. The articles contained here present many new results and ideas, providing interested researchers and students with valuable suggestions and instructive guidance for their work.
Air-Ice-Ocean Interaction : Turbulent Ocean Boundary Layer Exchange Processes
At a time when the polar regions are undergoing rapid and unprecedented change, understanding exchanges of momentum, heat and salt at the ice-ocean interface is critical for realistically predicting the future state of sea ice. By offering a measurement platform largely unaffected by surface waves, drifting sea ice provides a unique laboratory for studying aspects of geophysical boundary layer flows that are extremely difficult to measure elsewhere. This book draws on both extensive observations and theoretical principles to develop a concise description of the impact of stress, rotation, and buoyancy on the turbulence scales that control exchanges between the atmosphere and underlying ocean when sea ice is present. Several interesting and unique observational data sets are used to illustrate different aspects of ice-ocean interaction ranging from the impact of salt on melting in the Greenland Sea marginal ice zone, to how nonlinearities in the equation of state for seawater affect mixing in the Weddell Sea.
Airglow as an Indicator of Upper Atmospheric Structure and Dynamics
The book summarizes international progress over the last few decades in upper atmosphere airglow research. Measurement methods, theoretical concepts and empirical models of a wide spectrum of upper atmospheric emissions and their variability are considered. The book contains a detailed bibliography of studies related to the upper atmosphere airglow.
Ageing and the Glass Transition
Understanding cooperative phenomena far from equilibrium is one of fascinating challenges of present-day many-body physics. Glassy behaviour and the physical ageing process of such materials are paradigmatic examples. The present volume, primarily intended as introduction and reference for postgraduate students and nonspecialist researchers from related fields, collects six extensive lectures addressing selected experimental and theoretical issues in the field of glassy systems.
African Cultural Astronomy : Current Archaeoastronomy and Ethnoastronomy research in Africa
Astronomy is the science of studying the sky using telescopes and light collectors such as photographic plates or CCD detectors. However, people have always studied the sky and continue to study the sky without the aid of instruments this is the realm of cultural astronomy. This is the first scholarly collection of articles focused on the cultural astronomy of Africans. It weaves together astronomy, anthropology, and Africa. The volume includes African myths and legends about the sky, alignments to celestial bodies found at archaeological sites and at places of worship, rock art with celestial imagery, and scientific thinking revealed in local astronomy traditions including ethnomathematics and the creation of calendars. Authors include astronomers Kim Malville, Johnson Urama, and Thebe Medupe; archaeologist Felix Chami, and geographer Michael Bonine, and many new authors.
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.
Aeronomy of the Middle Atmosphere : Chemistry and Physics of the Stratosphere and Mesosphere
Provides a comprehensive view of the chemical, dynamical, and radiative processes that affect ozone and other chemicals in the stratosphere and mesosphere. Over recent decades our understanding of these processes has increased dramatically. The discovery of the Antarctic ozone hole has shown that human activities can lead to major changes in our environment.
Advances in Spectroscopy for Lasers and Sensing
This volume presents the Proceedings of the Institute “New Development in Optics and Related Fields,” held in Erice, Sicily, Italy, from the 6th to the 21st of June, 2005.
Advances in solid state physics ; Vol. 47
The present volume 47 of the Advances in Solid State Physics contains the written version of a large number of the invited talks of the 2007 Spring Meeting of the Arbeitskreis Festkörperphysik which was held in Regensburg, Germany, from March 26 to 30, 2007 in conjunction with the 71st Annual Meeting of the Deutsche Physikalische Gesellschaft.It gives an overview of the present status of solid state physics where low-dimensional systems such as quantum dots and quantum wires are dominating. The importance of magnetic materials is reflected by the large number of contributions in the part dealing with ferromagnetic films and particles. One of the most exciting achievements of the last couple of years is the successful application of electrical contacts to and the investigation of single layers of graphene.
Advances in solid state physics ; Vol. 46
Many topical talks given at the numerous symposia are included. Most of these were organized collaboratively by several of the divisions of the Arbeitskreis. The topis range from zero-dimensional physics in quantum dots, molecules and nanoparticles over one-dimensional physics in nanowires and 1d systems to more applied subjects like optoelectronics and materials science in thin films.
Advances in solid state physics ; Vol. 45
The book presents, to some extent, the status of the field of solid-state physics in 2005 not only in Germany but also internationally. It is ''nanoscience'', namely the physics of quantum dots and wires, electrical transport, optical properties, spin transport in nanostructures, and magnetism on the nanoscale, that is of central interest to the physics community. Also, soft matter and biological systems are covered.
Advances in Robot Control : From Everyday Physics to Human-Like Movements
This volume provides a unique collection of papers written in honor of the 70th birthday of Suguru Arimoto who has long been recognized as a pioneer in the field of robot control. A variety of his research is reflected in this book, which includes contributions from leading experts in the field, who have also been closely associated with Suguru Arimoto at various stages in his distinguished career. The book is build around two themes: the physics-based robot control for coping with the so-called everyday physics problems on one hand, and the challenge of reproducing beautiful, human-like movements on the other hand. These themes defined much of Arimoto’s research in the field of robot control and are the cornerstones of his perception of human robotics.
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.
Advances in Medical Engineering
In this book, research and development trends of physics, engineering, mathematics and computer sciences in biomedical engineering are presented. Contributions from industry, clinics, universities and research labs with foci on medical imaging (CT, MRT, US, PET, SPECT etc.), medical image processing (segmentation, registration, visualization etc.), computer-assisted surgery (medical robotics, navigation), biomechanics (motion analysis, accident research, computer in sports, ergonomics etc.), biomedical optics (OCT, soft-tissue optics, optical monitoring etc.) and laser medicine (tissue ablation, gas analytics, topometry etc.) give insight to recent engineering, clinical and mathematical studies.
Advances in Land Remote Sensing : System, Modeling, Inversion and Application
It systematically summarizes the past achievements and identifies the frontier issues as the research agenda for the near future. It covers all aspects of land remote sensing, from sensor systems, physical modeling, inversion algorithms, to various applications. The papers on remote sensing system evaluate the capabilities of different sensor systems for estimating key land surface variables and how they can best be improved and integrated effectively in the future.
Advances in Hybrid RANS-LES Modelling : Papers contributed to the 2007 Symposium of Hybrid RANS-LES Methods, Corfu, Greece, 17-18 June 2007
This volume contains papers contributed to the Second Symposium on Hybrid RANS-LES Methods, held in Corfu, Greece, 17-18 June 2007. These include Unsteady RANS and LES, Improved DES Methods, Hybrid RANS-LES Methods, Embedded LES, DES-related Numerical Issues, Performance of the New SAS Model, as well as Industrial Applications of DES.
Advances in Fractional Calculus : Theoretical Developments and Applications in Physics and Engineering
The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation.As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.
Advances in Discrete Differential Geometry
On a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. The authors take a closer look at discrete models in differential geometry and dynamical systems. Their curves are polygonal, surfaces are made from triangles and quadrilaterals, and time is discrete. Nevertheless, the difference between the corresponding smooth curves, surfaces and classical dynamical systems with continuous time can hardly be seen. This is the paradigm of structure-preserving discretizations. Current advances in this field are stimulated to a large extent by its relevance for computer graphics and mathematical physics.
