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Author: Giorgio De Chirico
Publisher: Public Space Books, A
Published: 2019-10
Total Pages: 124
ISBN-13: 9780998267548
DOWNLOAD EBOOKGathered from early twentieth-century Italian magazines, manuscripts, correspondence, television recordings, and ephemeral art volumes, Geometry of Shadows is the first comprehensive collection of Giorgio de Chirico's Italian poetry, with award-winning poet Stefania Heim's translations presented alongside the Italian originals.
Author: Vagn Lundsgaard Hansen
Publisher: World Scientific
Published: 1998
Total Pages: 128
ISBN-13: 9789810234188
DOWNLOAD EBOOKThe aim of this book is to throw light on various facets of geometry through development of four geometrical themes. The first theme is about the ellipse, the shape of the shadow east by a circle. The next, a natural continuation of the first, is a study of all three types of conic sections, the ellipse, the parabola and the hyperbola. The third theme is about certain properties of geometrical figures related to the problem of finding the largest area that can be enclosed by a curve of given length. This problem is called the isoperimetric problem. In itself, this topic contains motivation for major parts of the curriculum in mathematics at college level and sets the stage for more advanced mathematical subjects such as functions of several variables and the calculus of variations. Here, three types of conic section are discussed briefly. The emergence of non-Euclidean geometries in the beginning of the nineteenth century represents one of the dramatic episodes in the history of mathematics. In the last theme the non-Euclidean geometry in the Poincare disc model of the hyperbolic plane is developed.
Author: John Fry Heather
Publisher:
Published: 1899
Total Pages: 176
ISBN-13:
DOWNLOAD EBOOKAuthor: Tomas Akenine-Möller
Publisher: CRC Press
Published: 2019-01-18
Total Pages: 1046
ISBN-13: 1315362007
DOWNLOAD EBOOKThoroughly revised, this third edition focuses on modern techniques used to generate synthetic three-dimensional images in a fraction of a second. With the advent of programmable shaders, a wide variety of new algorithms have arisen and evolved over the past few years. This edition discusses current, practical rendering methods used in games and other applications. It also presents a solid theoretical framework and relevant mathematics for the field of interactive computer graphics, all in an approachable style. The authors have made the figures used in the book available for download for fair use.:Download Figures. Reviews Rendering has been a required reference for professional graphics practitioners for nearly a decade. This latest edition is as relevant as ever, covering topics from essential mathematical foundations to advanced techniques used by today’s cutting edge games. -- Gabe Newell, President, Valve, May 2008 Rendering ... has been completely revised and revamped for its updated third edition, which focuses on modern techniques used to generate three-dimensional images in a fraction of the time old processes took. From practical rendering for games to math and details for better interactive applications, it's not to be missed. -- The Bookwatch, November 2008 You'll get brilliantly lucid explanations of concepts like vertex morphing and variance shadow mapping—as well as a new respect for the incredible craftsmanship that goes into today's PC games. -- Logan Decker, PC Gamer Magazine , February 2009
Author: Tony Robbin
Publisher: Yale University Press
Published: 2008-10-01
Total Pages: 151
ISBN-13: 0300129629
DOWNLOAD EBOOKIn this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams. Robbin proposes that the powerful role of projective geometry in the development of current mathematical ideas has been long overlooked and that our attachment to the slicing model is essentially a conceptual block that hinders progress in understanding contemporary models of spacetime. He offers a fascinating review of how projective ideas are the source of some of today’s most exciting developments in art, math, physics, and computer visualization.
Author: Daphne Harwood Trivett
Publisher:
Published: 1974
Total Pages: 46
ISBN-13: 9780690730562
DOWNLOAD EBOOKIntroduces the principles of geometry through the use of shadows.
Author: Samuel Edward Warren
Publisher: BoD – Books on Demand
Published: 2024-08-01
Total Pages: 302
ISBN-13: 3385545706
DOWNLOAD EBOOKReprint of the original, first published in 1877.
Author: Francis Henney Smith
Publisher:
Published: 1868
Total Pages: 78
ISBN-13:
DOWNLOAD EBOOKAuthor: Giorgio De Chirico
Publisher: AJ Publishing Company
Published: 1988
Total Pages: 152
ISBN-13:
DOWNLOAD EBOOKAuthor: Peter Gardenfors
Publisher: MIT Press
Published: 2004-01-30
Total Pages: 324
ISBN-13: 9780262572194
DOWNLOAD EBOOKWithin cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter Gärdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches. Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. Gärdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. Gärdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.
