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Geophysics --- Geology. Earth sciences --- Environmental protection. Environmental technology --- Physical geography --- Economic geography --- hydrologie --- economie --- geografie --- geologie --- milieubeheer --- fysische geografie --- geofysica
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This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes unifying geometric ideas of the theory and gives numerous illustrations and examples, ranging from the classification of the Virasoro coadjoint orbits to knot theory, from optimal mass transport to moduli spaces of flat connections on surfaces. The text includes many exercises and open questions, and it is accessible to both students and researchers in Lie theory, geometry, and Hamiltonian systems.
Infinite dimensional Lie algebras. --- Lie groups. --- Algebra --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Groups, Lie --- Lie groups --- Grupos de --- MATEMATICAS;LIBROS ELECTRONICOS --- Mathematics. --- Algebraic geometry. --- Group theory. --- Topological groups. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Geometry. --- Physics. --- Topological Groups, Lie Groups. --- Group Theory and Generalizations. --- Mathematical Methods in Physics. --- Global Analysis and Analysis on Manifolds. --- Algebraic Geometry. --- Lie algebras --- Symmetric spaces --- Topological groups --- Topological Groups. --- Mathematical physics. --- Global analysis. --- Geometry, algebraic. --- Algebraic geometry --- Geometry --- Physical mathematics --- Physics --- Euclid's Elements --- Groups, Theory of --- Substitutions (Mathematics) --- Groups, Topological --- Continuous groups --- Geometry, Differential --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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The subject of this book is the methodology and results of integrated geophysical investigations in the Caucasian region, mainly interpretation of magnetic and gravity anomalies with utilization of a huge petrophysical database for the evaluation of geological structure and mineral resources. Relative voluminous geophysical data are useful for the Earth Sciences researchers interested in the Caucasian region (and adjacent and similar regions) characterized by complicated geological structure, inclined magnetization (polarization), uneven topography and mountain/sea transition. Examination of geophysical fields verified by super-deep wells drilling indicates that magmatic rocks of the Lesser Caucasus are extended northward under thick sedimentary cover of the Kura Depression up to the Greater Caucasus. These rocks form hidden petroleum-bearing traps of a newly identified type. On the basis of geophysical studies (mainly inexpensive magnetic and electric methods), a new copper-polymetallic province in the Greater Caucasus has been revealed. a newly developed integrated approach and special information-statistical techniques for processing and interpretation of geophysical data facilitate detection of important geological features, e.g. hidden intersections of linear structures that control location of large commercial ore and oil-and-gas deposits, as well as focuses of dangerous geodynamic events at a depth. Numerous illustrations (including colour) elucidate different problems and solutions on various scales and in diverse geological-geophysical environments. Many aspects of this book have been presented at the teaching courses for bachelors, masters and doctors at the Tel-Aviv University (Tel Aviv, Israel) and Ben-Gurion University (Be’er-Sheva, Israel). Benefits to readers are predetermined by the combination of the authors many-years personal experience in the geophysical studies of Azerbaijan and other regions of the Caucasus with the authors' knowledge of the modern level of geophysics in the world.
Geodynamics -- Caucasus. --- Geophysics -- Caucasus. --- Geophysics -- Research -- Caucasus. --- Prospecting -- Caucasus -- Geophysical methods. --- Physics --- Geology --- Earth & Environmental Sciences --- Physical Sciences & Mathematics --- Geology - General --- Cosmic Physics --- Geophysics --- Geodynamics --- Prospecting --- Research --- Geophysical methods. --- Dynamic geology --- Tectonophysics --- Geological physics --- Terrestrial physics --- Exploration (Prospecting) --- Earth sciences. --- Geology. --- Geophysics. --- Hydrogeology. --- Economic geography. --- Environment. --- Earth Sciences. --- Geophysics/Geodesy. --- Environment, general. --- Economic Geography. --- Mines and mineral resources --- Mine examination --- Mine valuation --- Earth sciences --- Physical geography. --- Hydraulic engineering. --- Environmental sciences. --- Geography. --- Cosmography --- World history --- Environmental science --- Science --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Geognosy --- Geoscience --- Natural history --- Geography --- Geography, Economic --- World economics --- Commercial geography --- Geohydrology --- Hydrology --- Groundwater --- Balance of nature --- Biology --- Bionomics --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Population biology --- Ecology
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Hydrodynamics --- Topology --- Hydrodynamique --- Topologie --- EPUB-LIV-FT SPRINGER-B --- Hydrodynamics. --- Mathematics. --- Fluids. --- Statistical physics. --- Dynamical systems. --- Computational intelligence. --- Mathematics, general. --- Fluid- and Aerodynamics. --- Statistical Physics, Dynamical Systems and Complexity. --- Computational Intelligence. --- Topology. --- Engineering. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Hydraulics --- Hydrostatics --- Permeability --- Math --- Science --- Statistical methods --- Fluid dynamics
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The subject of this book is the methodology and results of integrated geophysical investigations in the Caucasian region, mainly interpretation of magnetic and gravity anomalies with utilization of a huge petrophysical database for the evaluation of geological structure and mineral resources. Relative voluminous geophysical data are useful for the Earth Sciences researchers interested in the Caucasian region (and adjacent and similar regions) characterized by complicated geological structure, inclined magnetization (polarization), uneven topography and mountain/sea transition. Examination of geophysical fields verified by super-deep wells drilling indicates that magmatic rocks of the Lesser Caucasus are extended northward under thick sedimentary cover of the Kura Depression up to the Greater Caucasus. These rocks form hidden petroleum-bearing traps of a newly identified type. On the basis of geophysical studies (mainly inexpensive magnetic and electric methods), a new copper-polymetallic province in the Greater Caucasus has been revealed. a newly developed integrated approach and special information-statistical techniques for processing and interpretation of geophysical data facilitate detection of important geological features, e.g. hidden intersections of linear structures that control location of large commercial ore and oil-and-gas deposits, as well as focuses of dangerous geodynamic events at a depth. Numerous illustrations (including colour) elucidate different problems and solutions on various scales and in diverse geological-geophysical environments. Many aspects of this book have been presented at the teaching courses for bachelors, masters and doctors at the Tel-Aviv University (Tel Aviv, Israel) and Ben-Gurion University (Be'er-Sheva, Israel). Benefits to readers are predetermined by the combination of the authors many-years personal experience in the geophysical studies of Azerbaijan and other regions of the Caucasus with the authors' knowledge of the modern level of geophysics in the world.
Geophysics --- Geology. Earth sciences --- Environmental protection. Environmental technology --- Physical geography --- Economic geography --- hydrologie --- economie --- geografie --- geologie --- milieubeheer --- fysische geografie --- geofysica
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First published in 1998 this unique monograph treats topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. This book, now accepted as one of the main references in the field, is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry. The updated second edition also contains a survey of recent developments in this now-flourishing field of topological and geometric hydrodynamics.
Mathematics. --- Fluid mechanics. --- System theory. --- Computational intelligence. --- Mathematical physics. --- Dynamics. --- Ergodic theory. --- Mathematics, general. --- Engineering Fluid Dynamics. --- Complex Systems. --- Computational Intelligence. --- Theoretical, Mathematical and Computational Physics. --- Dynamical Systems and Ergodic Theory. --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Physical mathematics --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Systems, Theory of --- Systems science --- Science --- Hydromechanics --- Continuum mechanics --- Math --- Philosophy --- Hydrodynamics. --- Fluid dynamics --- Hidrodinàmica --- Topologia --- Poliedres --- Teoria de conjunts --- Aplicacions (Matemàtica) --- Categories (Matemàtica) --- Compactificacions --- Conjunts de Borel --- Dinàmica topològica --- Espais mètrics --- Espais vectorials topològics --- Grups de transformacions --- Grups topològics --- Jocs d'estratègia (Matemàtica) --- Politops --- Teoria de l'homotopia --- Teoria de la dimensió (Topologia) --- Teoria de la dualitat (Matemàtica) --- Teoria de grafs --- Teoria dels reticles --- Topologia algebraica --- Topologia combinatòria --- Topologia diferencial --- Varietats (Matemàtica) --- Varietats topològiques --- Xarxes (Matemàtica) --- Àlgebra lineal --- Dinàmica de fluids --- Enginyeria hidràulica --- Mecànica --- Mecànica analítica --- Mecànica de fluids --- Cavitació --- Ones --- Ones de gravetat --- Turbulència --- Urodinàmica --- Viscositat --- Vòrtexs
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This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes unifying geometric ideas of the theory and gives numerous illustrations and examples, ranging from the classification of the Virasoro coadjoint orbits to knot theory, from optimal mass transport to moduli spaces of flat connections on surfaces. The text includes many exercises and open questions, and it is accessible to both students and researchers in Lie theory, geometry, and Hamiltonian systems.
Differential geometry. Global analysis --- Topological groups. Lie groups --- Geometry --- Mathematical physics --- Classical mechanics. Field theory --- Thermodynamics --- thermodynamica --- landmeetkunde --- topologie (wiskunde) --- differentiaal geometrie --- wiskunde --- fysica --- mechanica
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Differential geometry. Global analysis --- Topological groups. Lie groups --- Geometry --- Mathematical physics --- Classical mechanics. Field theory --- Thermodynamics --- thermodynamica --- landmeetkunde --- topologie (wiskunde) --- differentiaal geometrie --- wiskunde --- fysica --- mechanica
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