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The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.
This 1989 text will be of value to those who wish to understand developments in computer studies of general relativity at the time of publication.
This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented,...
This book deals mainly with gravitational physics and its application to the very early universe and models for relativistic objects. It reviews our present knowledge about the origin and formation of large-scale structure, quantum cosmology and some problems of observational cosmology. Experimental tests of general relativity, gravitational wave astrophysics and string theory complete the lists of themes in this volume which contains invited and contributed papers.
In these last years Black hole Physics has developed rapidly both from theoretical and observational aspects: especially as regards quantum aspects many things must be clarified as for instance the processes occuring near mini black holes with spontaneous creation of particles that eventually lead to the evaporation of black hole. In these last stages probably a connection with string theory will appears. This field of research was subject of the NATO Adavanced study Institute on "Black Hole Physics" which was held at the Ettore Majorana Center for Scientific Culture in Erice (Sicily, th Italy) from May 12th through May 22 , 1991. It was at the same time the 12th Course of the International ...
What shape is the universe? Is it curved and closed in on itself? Is it expanding? Where is it headed? Could space be wrapped around itself, such that it produces ghost images of faraway galaxies? Such are the questions posed by Jean-Pierre Luminet in The Wraparound Universe, which he then addresses in clear and accessible language. An expert in bl
The most authoritative and up-to-date review of gravitational radiation available including free CD-ROM.