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How Surfaces Intersect in Space by J. Scott Carter Pdf
This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.
Calculating Intersections of Surfaces in Screen Space by National Aeronautics and Space Administration (NASA) Pdf
When surfaces intersect, one may desire to highlight the intersection curve in order to make the shape of the penetrating surfaces more visible. Highlighting the intersection is especially helpful when the surfaces become transparent, because transparency makes the intersections less evident. A technique for locating intersections in screen space using only the information locally available to a pixel is discussed. The technique is designed to exploit parallelism at the pixel level and was implemented on the Pixel-Planes 5 graphics supercomputer. Banks, David C. Unspecified Center NASA-CR-191498, NAS 1.26:191498, ICASE-93-41, AD-A269019 NAS1-19480; RTOP 505-90-52-01...
Surfaces in 4-Space by Scott Carter,Seiichi Kamada,Masahico Saito Pdf
Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included. This book contains many new illustrations of knotted surface diagrams. The reader of the book will become intimately aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case. As a survey, the book is a guide book to the extensive literature on knotted surfaces and will become a useful reference for graduate students and researchers in mathematics and physics.
The Jahn-Teller Effect by Horst Köppel,David R. Yarkony,Heinz Barentzen Pdf
The Jahn-Teller effect continues to be a paradigm for structural instabilities and molecular dynamical processes. This volume provides a survey of the current Jahn-Teller interactions at the interface of quantum chemistry and condensed matter physics.
Lectures on Surfaces by A. B. Katok,Vaughn Climenhaga Pdf
Surfaces are among the most common and easily visualized mathematical objects, and their study brings into focus fundamental ideas, concepts, and methods from geometry, topology, complex analysis, Morse theory, and group theory. This book introduces many of the principal actors - the round sphere, flat torus, Mobius strip, and Klein bottle.
New Advances in Computer Graphics by Rae Earnshaw,Brian Wyvill Pdf
This volume presents the proceedings of the 7th International Confer ence of the Computer Graphics Society, CG International '89, held at the University of Leeds, UK, June 27-30, 1989. Since 1982 this confer ence has continued to attract high-quality research papers in all aspects of computer graphics and its applications. Originally the conference was held in Japan (1982-1987), but in 1988 was held in Geneva, Switzerland. Future conferences are planned for Singapore in 1990, USA in 1991, Japan in 1992, and Canada in 1993. Recent developments in computer graphics have concentrated on the following: greater sophistication of image generation techniques; advances in hardware and emphasis on the exploitation of parallelism, integration of robotics and AI techniques for animation, greater integ ration of CAD and CAM in CIM, use of powerful computer graphics techniques to represent complex physical processes (visualization), advances in computational geometry and in the representation and modelling of complex physical and mathematical objects, and improved tools and methods for HC!. These trends and advances are reflected in this present volume. A number of papers deal with important research aspects in many of these areas.
The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.