Figures in the Fourth Dimension PDF Download
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Author: Ellen Rixford
Publisher:
ISBN: 9780578158655
Category : Mechanical movements
Languages : en
Pages : 511
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Book Description
Author: Ellen Rixford
Publisher:
ISBN: 9780578158655
Category : Mechanical movements
Languages : en
Pages : 511
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Book Description
Author: Henry Parker Manning
Publisher:
ISBN:
Category : Fourth dimension
Languages : en
Pages : 266
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Book Description
Author: Tony Robbin
Publisher: Yale University Press
ISBN: 0300129629
Category : Art
Languages : en
Pages : 151
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Book Description
In 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: Charles Howard Hinton
Publisher:
ISBN:
Category : Fourth dimension
Languages : en
Pages : 290
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Book Description
Author: Rudy Rucker
Publisher: Courier Corporation
ISBN: 0486779785
Category : Science
Languages : en
Pages : 243
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Book Description
One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the Fourth Dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.
Author: William Anthony Granville
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 134
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Book Description
Author: Rudy von Bitter Rucker
Publisher: Houghton Mifflin Harcourt
ISBN: 9780395393888
Category : Philosophy
Languages : en
Pages : 244
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Book Description
A detailed description of what the fourth dimension would be like.
Author: Linda Dalrymple Henderson
Publisher:
ISBN: 9780691101422
Category : Art
Languages : en
Pages : 453
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Book Description
The Description for this book, The Fourth Dimension And Non-Euclidean Geometry in Modern Art, will be forthcoming.
Author: Alexandru Scorpan
Publisher: American Mathematical Soc.
ISBN: 0821837494
Category : Mathematics
Languages : en
Pages : 642
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Book Description
What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. -- Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.
Author: Giannēs Ritsos
Publisher: Princeton University Press
ISBN: 0691024650
Category : Language Arts & Disciplines
Languages : en
Pages : 347
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Book Description
In the dramatic monologues that make up The Fourth Dimension--especially those based on the grim history of Mycenae and its royal protagonists--the celebrated modern Greek poet Yannis Ritsos presents a timeless poetic paradigm of the condition of Greece, past and present. The volume also contains a group of modern narratives, including the famous, and much-anthologized, "Moonlight Sonata." Ritsos, rightly, regarded the The Fourth Dimension as his finest achievement. It is now presented to English- speaking readers for the first time in its entirety. From "Philoctetes" All the speeches of great men, about the dead and about heroes. Astonishing, awesome words, pursued us even in our sleep, slipping beneath closed doors, from the banqueting hall where glasses and voices sparkled, and the veil of an unseen dancer rippled silently like a diaphanous, whirling wall between life and death. This throbbing our childhood nights, lightening the shadows of shields etched on white walls by slow moonlight.
