Projection Infinity
Author | : Karl Zeigfreid |
Publisher | : |
Total Pages | : 155 |
Release | : 1964* |
Genre | : |
ISBN | : |
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Author | : Karl Zeigfreid |
Publisher | : |
Total Pages | : 155 |
Release | : 1964* |
Genre | : |
ISBN | : |
Author | : Nathaniel Bowditch |
Publisher | : |
Total Pages | : 900 |
Release | : 2013 |
Genre | : Nautical astronomy |
ISBN | : |
Author | : Jost-Hinrich Eschenburg |
Publisher | : Springer Nature |
Total Pages | : 168 |
Release | : 2022-10-31 |
Genre | : Mathematics |
ISBN | : 3658386401 |
This book deals with the geometry of visual space in all its aspects. As in any branch of mathematics, the aim is to trace the hidden to the obvious; the peculiarity of geometry is that the obvious is sometimes literally before one's eyes.Starting from intuition, spatial concepts are embedded in the pre-existing mathematical framework of linear algebra and calculus. The path from visualization to mathematically exact language is itself the learning content of this book. This is intended to close an often lamented gap in understanding between descriptive preschool and school geometry and the abstract concepts of linear algebra and calculus. At the same time, descriptive geometric modes of argumentation are justified because their embedding in the strict mathematical language has been clarified. The concepts of geometry are of a very different nature; they denote, so to speak, different layers of geometric thinking: some arguments use only concepts such as point, straight line, and incidence, others require angles and distances, still others symmetry considerations. Each of these conceptual fields determines a separate subfield of geometry and a separate chapter of this book, with the exception of the last-mentioned conceptual field "symmetry", which runs through all the others: - Incidence: Projective geometry - Parallelism: Affine geometry - Angle: Conformal Geometry - Distance: Metric Geometry - Curvature: Differential Geometry - Angle as distance measure: Spherical and Hyperbolic Geometry - Symmetry: Mapping Geometry. The mathematical experience acquired in the visual space can be easily transferred to much more abstract situations with the help of the vector space notion. The generalizations beyond the visual dimension point in two directions: Extension of the number concept and transcending the three illustrative dimensions. This book is a translation of the original German 1st edition Geometrie – Anschauung und Begriffe by Jost-Hinrich Eschenburg, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
Author | : Louis Napoleon George Filon |
Publisher | : |
Total Pages | : 274 |
Release | : 1908 |
Genre | : Geometry, Projective |
ISBN | : |
Author | : Hugh Chisholm |
Publisher | : |
Total Pages | : 2026 |
Release | : 1911 |
Genre | : Encyclopedias and dictionaries |
ISBN | : |
Author | : Victor Tyson Wilson |
Publisher | : |
Total Pages | : 282 |
Release | : 1909 |
Genre | : Geometry, Descriptive |
ISBN | : |
Author | : Zygmunt Pizlo |
Publisher | : Oxford University Press, USA |
Total Pages | : 265 |
Release | : 2014 |
Genre | : Psychology |
ISBN | : 0199922543 |
This text explains why and how our visual perceptions can provide us with an accurate representation of the world 'out there.' Along the way, it tells the story of a machine (a computational model) built by the authors that solves the computationally difficult problem of seeing the way humans do.
Author | : |
Publisher | : CUP Archive |
Total Pages | : 176 |
Release | : |
Genre | : |
ISBN | : |
Author | : Gabriel Menotti |
Publisher | : Oxford University Press |
Total Pages | : 288 |
Release | : 2020-02-05 |
Genre | : Performing Arts |
ISBN | : 0190934131 |
To many, the technological aspects of projection often go unnoticed, only brought to attention during moments of crisis or malfunction. For example, when a movie theater projector falters, the audience suddenly looks toward the back of the theater to see a sign of mechanical failure. The history of cinema similarly shows that the attention to projection has been most focused when the whole medium is hanging in suspension. During Hollywood's economic consolidation in the '30s, projection defined the ways that sync-sound technologies could be deployed within the medium. Most recently, the digitization of cinema repeated this process as technology was reworked to facilitate mobility. These examples show how projection continually speaks to the rearrangement of media technology. Projection therefore needs to be examined as a pivotal element in the future of visual media's technological transition. In Practices of Projection: Histories and Technologies, volume editors Gabriel Menotti and Virginia Crisp address the cultural and technological significance of projection. Throughout the volume, chapters reiterate that projection cannot, and must not, be reduced to its cinematic functions alone. Borrowing media theorist Siegfried Zielinksi's definition, Menotti and Crisp refer to projection as the "heterogeneous array of artefacts, technical systems, and particularly visual praxes of experimentation and of culture." From this, readers can understand the performative character of the moving image and the labor of the different actors involved in the utterance of the film text. Projection is not the same everywhere, nor equal all the time. Its systems are in permanent interaction with environmental circumstances, neighboring structures, local cultures, and social economies. Thus the idea of projection as a universal, fully autonomous operation cannot hold. Each occurrence of projection adds nuance to a wider understanding of film screening technologies.
Author | : |
Publisher | : |
Total Pages | : 986 |
Release | : 1911 |
Genre | : Encyclopedias and dictionaries |
ISBN | : |