الصفحة 34
الصفحة 34
Global Smoothness and Shape Preserving Interpolation by Classical Operators
This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, Grünwald, Hermite-Fejér and Shepard type. One of the first books on the subject, it presents interesting new results alongwith an excellent survey of past research.
Global Pathways to Education : Cultural Spheres, Networks, and International Organizations
The research presented in this volume is a wide-ranging analysis and explanation of the dynamics of emergence, diffusion, and change in relation to state education systems. The chapters offer an empirical investigation into whether the global diffusion of Western-rational educational content and organizational forms occurs as expected by neoinstitutionalist theory, or whether culturally specific developmental paths dominate in different parts of the world.
Global Optimization ; Vol. # 84 : From Theory to Implementation
Global optimization describe the theory of the algorithms, whereas a given implementation’s quality never depends exclusively on the theoretical soundness of the algorithms that are implemented. The literature rarely discusses the tuning of algorithmic parameters, implementation tricks, software architectures, and the embedding of local solvers within global solvers. And yet, there are many good software implementations "out there” from which the entire community could learn something. The scope of this book is moving a few steps toward the systematization of the path that goes from the invention to the implementation and testing of a global optimization algorithm.
Global Conflict Resolution Through Positioning Analysis
Positioning analysis penetrates beneath surface issues to their underlying psychological causes and social effects, with the intention of defusing conflict and preventing existing conflict from escalating. As the growing literature shows, positioning analysis methods are not only effective in interpersonal and intergroup problems, but have considerable potential for resolving disputes on the world stage. Global Conflict Resolution through Positioning Analysis starts with the daily disputes that result from our multiple social identities and evolving self-definitions, offers a new framework for understanding historical conflict, and brings vital new perspectives to current political and ideological battles. Twenty expert contributors examine scenarios as simple as a committee meeting of four people, as complicated as centuries-old social movements and the shifting tensions in the Middle East.
Global Aspects of Complex Geometry
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry.
Global Archaeological Theory : Contextual Voices and Contemporary Thoughts
This book focuses on the fundamental theoretical issues found in the discipline and thus both engages and represents the very rich plurality of the post-processual approach to archaeology. The book is divided into four sections: Issues in Archaeological Theory, Archaeological Theory and Method in Action, Space and Power in Material Culture, and Images as Material Discourse.
Giving Death a Helping Hand : Physician-Assisted Suicide and Public Policy. An International Perspective
The volume focuses on public policy issues related to physician-assisted suicide. It offers a detailed analysis of the current legal standing and practice of physician-assisted suicide in various countries and discusses the ethical principles underlying its legal and professional regulation.
Gettering Defects in Semiconductors
The authors address not only well-established gettering techniques but also describe contemporary trends in gettering technologies from an international perspective. The types and properties of structural defects in semiconductors, their generating and their transforming mechanisms during fabrication are described. The primary emphasis is placed on classifying and describing specific gettering techniques, their specificity arising from both their position in a general technological process and the regimes of their application. This book addresses both engineers and material scientists interested in semiconducting materials theory and also undergraduate and graduate students in solid–state microelectronics and nanoelectronics. A comprehensive list of references provides readers with direction for further reading.
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.
Geospatial Vision : New Dimensions in Cartography
This book reflects the diverse nature of interests of contributors in the field. The GeoCart conferences are held every two years and attract attendees from Australasia and globally. They offer a forum for reflecting on past practices, exploring future possibilities and reporting on the findings of - search undertakings. They make valuable contributions to the theory and praxis of Geoinformation and Cartography.
Geospatial Services and Applications for the Internet
This book covers a wide spectrum of techniques, algorithms and modeling methodologies that address the challenges in service-oriented architectural design for GIS, and intelligent processing for spatial queries. This book presents in-depth studies on performance improvement, data integration, service personalization and interoperation between geospatial services. These studies provide the reader with a wide spectrum of examples and case studies on the development of GIS for hydrological applications, electrical power supply applications, land usage and urban planning, and NASA’s Earth image datasets dissemination.
Geometry of Quantum Theory ; 2nd ed.
This book a classic on the foundations of quantum theory. This view, which is essentially geometric and relies on the concept of symmetry. The mathematical treatment of symmetry in quantum theory is based on the theory of group representations, and this book includes a self-contained treatment of the parts of this theory that are most useful in quantum physics.
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 and Topology in Hamiltonian Dynamics and Statistical Mechanics
This book explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transition, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide a welcome overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author skillfully guides the reader, whether mathematician or physicists through the background needed to understand and use these techniques.
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 numerical integration : Structure-preserving algorithms for ordinary differential equations
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.
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.
