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Geostatistics Banff 2004
The five major sections are: theory, mining, petroleum, environmental and other applications. The first section showcases new and innovative ideas in the theoretical development of geostatistics as a whole; these ideas will have large impact on (1) the directions of future geostatistical research, and (2) the conventional approaches to heterogeneity modelling in a wide range of natural resource industries. The next four sections are focused on applications and innovations relating to the use of geostatistics in specific industries. Historically, mining, petroleum and environmental industries have embraced the use of geostatistics for uncertainty characterization, so these three industries are identified as major application areas. The last section is open for innovative geostatistical application to address the issues and impact of uncertainty in other industries.
Geospace Electromagnetic Waves and Radiation
The contributions gathered in this volume provide introductions to current problems in geospace electromagnetic radiation, guides to the associated literature and tutorial reviews of the relevant space physics. Students and scientists working on various aspects of the terrestrial aurora or magnetospheric and near-Earth heliospheric high-frequency waves will find this volume an indispensable companion for their studies.
Geometry of Principal Sheaves
The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth models of physical phenomena and spaces with singularities. Starting with a brief survey of the required sheaf theory and cohomology, the exposition then moves on to differential triads (the abstraction of smooth manifolds) and Lie sheaves of groups (the abstraction of Lie groups). Having laid the groundwork, the main part of the book is devoted to the theory of connections on principal sheaves, incorporating connections on vector
Geometry of Müntz Spaces and Related Questions
Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality.
Geometry and monadology : Leibniz’s Analysis Situs and philosophy of space
Reconstructs, from both historical and theoretical points of view, Leibniz’s geometrical studies, focusing in particular on the research Leibniz carried out in the last years of his life. It is indeed the first ever comprehensive historical reconstruction of Leibniz’s geometry that meets the interests of both mathematicians and philosophers. The main purpose of the work is to offer a better understanding of the Leibnizean philosophy of space and mature metaphysics, through a pressing confrontation with the problems of geometric foundations. Regarding the scope of these problems, the book also deals in depth with Leibniz’s theory of sensibility, thus favouring the comparison and contrast between Leibniz’s philosophy and Kant’s transcendentalist solution. The Appendix references to a number of previously unpublished manuscripts on geometry from the Leibniz Archiv in Hannover, which disclose new theories, points of view and technicalities of Leibniz’s thought.
Geometry and Dynamics of Groups and Spaces : In Memory of Alexander Reznikov
Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.
Geometric Topology : Localization, Periodicity and Galois Symmetry : the 1970 MIT notes
The seminal `MIT notes' of Dennis Sullivan were issued in June 1970 and were widely circulated at the time, but only privately. The notes had a major influence on the development of both algebraic and geometric topology, pioneering the localization and completion of spaces in homotopy theory, including P-local, profinite and rational homotopy theory, the Galois action on smooth manifold structures in profinite homotopy theory, and the K-theory orientation of PL manifolds and bundles. This is the first time that this major work has actually been published, and made available to anyone interested in topology.
Geometric Qp Functions
This book documents the rich structure of the holomorphic Q functions which are geometric in the sense that they transform naturally under conformal mappings. Particular emphasis is placed on recent developments based on the interaction between geometric function/measure theory and other branches of mathematical analysis, including potential theory, complex variables, harmonic analysis, functional analysis, and operator theory." "Largely self-contained, this book will be an instructional and reference work for advanced courses and research in conformal analysis, geometry, or function spaces.
Geometric Modeling and Processing - GMP 2006 ; 4th International Conference, GMP 2006, Pittsburgh, PA, USA, July 26-28, 2006, Proceedings
This book constitutes the refereed proceedings of the 4th International Conference on Geometric Modeling and Processing, GMP 2006, held in Pittsburgh, PA, USA in July 2006. The 36 revised full papers and 21 revised short papers presented were carefully reviewed and selected from a total of 84 submissions. All current issues in the area of geometric modeling and processing are addressed and the impact in such areas as computer graphics, computer vision, machining, robotics, and scientific visualization is shown. The papers are organized in topical sections on shape reconstruction, curves and surfaces, geometric processing, shape deformation, shape description, shape recognition, geometric modeling, subdivision surfaces, and engineering applications.
Geometric Methods in Algebra and Number Theory
The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working with complicated concepts and structures of modern mathematics. This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory.
Geometric Integration Theory
This textbook introduces geometric measure theory through the notion of currents. Currents—continuous linear functionals on spaces of differential forms—are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics
Geometric Group Theory ; Geneva and Barcelona Conferences
This volume assembles research papers in geometric and combinatorial group theory. This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Klein’s programme.The contributions range over a wide spectrum: limit groups, groups associated with equations, with cellular automata, their structure as metric objects, their decomposition, etc. Their common denominator is the language of group theory, used to express and solve problems ranging from geometry to logic.
Geometric and Topological Methods for Quantum Field Theory
This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.
Geometric Algebra for Computer Graphics
The first five chapters review the algebras of real numbers, complex numbers, vectors, and quaternions and their associated axioms, together with the geometric conventions employed in analytical geometry. As well as putting geometric algebra into its historical context, John Vince provides chapters on Grassmann’s outer product and Clifford’s geometric product, followed by the application of geometric algebra to reflections, rotations, lines, planes and their intersection. The conformal model is also covered, where a 5D Minkowski space provides an unusual platform for unifying the transforms associated with 3D Euclidean space.
Geology and Habitability of Terrestrial Planets
This book has resulted from a workshop at the International Space Science Institute (ISSI) in Bern, Switzerland (5-9 September 2005) that brought together planetary geologists, geophysicists, atmospheric scientists, and biologists to discuss the multi-faceted problem of how the habitability of a planet co-evolves with the geology of the surface and interior, the atmosphere, and the magnetosphere.
Geology and Ecosystems
This book includes an analysis of the relationship between the different geological, hydrochemical, hydrogeological and engineering-geological processes and the processes within surface ecosystems. The analysis of specific interactions between the lithosphere and biosphere provides an integrated concept of the role of the geological environment in the evolution of the biosphere. The practical significance of the book is reflected by the analysis of modern engineering activity associated with the mining of minerals, excessive groundwater withdrawal, disposal of industrial and domestic wastes (including radioactive wastes) and their impacts on all components of the environment. Geology and Ecosystems includes a scientific approach to the complex monitoring of the environment under different natural and anthropogenic conditions, including the monitoring of permafrost regions. An important part of the book is the analysis of the "water factor" impact on ecosystems and sustainable development. Influences of intensive groundwater extraction on river flow, vegetation and land subsidence are also considered.
Geological atlas of Africa : With notes on stratigraphy, tectonics, economic geology, geohazards, geosites and geoscientific education of each country
Here is the new edition of the first attempt to summarize the geology of Africa by presenting it in an atlas and to synthesize the stratigraphy, tectonics, economic geology, geohazards and geosites of each country and territory of the continent. Furthermore, the digitized geological maps are correlated and harmonized according to the current stratigraphic timetable. The atlas aims to contribute to capacity building in African Earth Sciences and to aid the initiation of research and enable the achievement of economic opportunities by providing a database of basic geological background information.
Geographies of the University
Raises awareness of the histories, geographies, and practices of universities and analyzes their role as key actors in today’s global knowledge economy. Universities are centers of research, teaching, and expertise with significant economic, social, and cultural impacts at different geographical scales. Scholars from a variety of disciplines and countries offer original analyses and discussions along five main themes: historical perspectives on the university as a site of knowledge production, cultural encounter, and political interest; institutional perspectives on university governance and the creation of innovative environments; relationships between universities and the city; the impact of universities on national and regional economies and cultures; and the processes of internationalization through student mobility, the creation of education hubs, and global regionalism in higher education.
Geographies of Schooling
This book explores the complex relationship between schooling as a set of practices embedded in educational institutions and their specific spatial dimensions from different disciplinary perspectives.The book covers a broad range of topics, all examined from a spatial perspective: the governance of schooling, the transition processes of and within national school systems, the question of small schools in peripheral areas as well as the embeddedness of schooling in broader processes of social change. Transcending disciplinary boundaries, the book offers deep insights into current theoretical debates and empirical case studies within the broad research field encompassing the complex relationship between education and space.
Geographies of Asylum in Europe and the Role of European Localities
This book describes how the numerous arrivals of asylum seekers since 2015 shaped reception and integration processes in Europe. It addresses the structuration of asylum and reception systems, and spaces and places of reception on European, national, regional and local level.
