The Fourth Dimension: Toward a Geometry of Higher Reality

The Fourth Dimension: Toward a Geometry of Higher Reality

Author: Rudy Rucker

Publisher: Courier Corporation

Published: 2014-09-17

Total Pages: 243

ISBN-13: 0486779785

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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.


Geometry, Relativity and the Fourth Dimension

Geometry, Relativity and the Fourth Dimension

Author: Rudolf Rucker

Publisher: Courier Corporation

Published: 2012-06-08

Total Pages: 159

ISBN-13: 0486140334

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Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.


The Fourth Dimension

The Fourth Dimension

Author: Rudy von Bitter Rucker

Publisher: Houghton Mifflin Harcourt

Published: 1985

Total Pages: 244

ISBN-13: 9780395393888

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A detailed description of what the fourth dimension would be like.


A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)

A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)

Author: Chris McMullen

Publisher:

Published: 2013-01-19

Total Pages: 92

ISBN-13: 9780615750040

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This colorful, visual introduction to the fourth dimension provides a clear explanation of the concepts and numerous illustrations. It is written with a touch of personality that makes this an engaging read instead of a dry math text. The content is very accessible, yet at the same time detailed enough to satisfy the interests of advanced readers. This book is devoted to geometry; there are no spiritual or religious components to this book. May you enjoy your journey into the fascinating world of the fourth dimension! Contents: Introduction Chapter 0: What Is a Dimension? Chapter 1: Dimensions Zero and One Chapter 2: The Second Dimension Chapter 3: Three-Dimensional Space Chapter 4: A Fourth Dimension of Space Chapter 5: Tesseracts and Hypercubes Chapter 6: Hypercube Patterns Chapter 7: Planes and Hyperplanes Chapter 8: Tesseracts in Perspective Chapter 9: Rotations in 4D Space Chapter 10: Unfolding a Tesseract Chapter 11: Cross Sections of a Tesseract Chapter 12: Living in a 4D House Further Reading Glossary About the Author Put on your spacesuit, strap on your safety harness, swallow your anti-nausea medicine, and enjoy this journey into a fourth dimension of space! 10D, 9D, 8D, 7D, 6D, 5D, 4D, 3D, 2D, 1D, 0D. Blast off!


The Theory of Gauge Fields in Four Dimensions

The Theory of Gauge Fields in Four Dimensions

Author: H. Blaine Lawson

Publisher: American Mathematical Soc.

Published: 1985

Total Pages: 112

ISBN-13: 0821807080

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Presents an examination of the work of Simon Donaldson. This book offers foundation work in gauge theory (Uhlenbeck, Taubes, Atiyah, Hitchin, Singer, et al.) which underlies Donaldson's work. It is suitable for geometric topologists and differential geometers.


The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition

The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition

Author: Linda Dalrymple Henderson

Publisher: MIT Press

Published: 2018-05-18

Total Pages: 759

ISBN-13: 0262536552

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The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.


The Geometry of Four-manifolds

The Geometry of Four-manifolds

Author: S. K. Donaldson

Publisher: Oxford University Press

Published: 1997

Total Pages: 464

ISBN-13: 9780198502692

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This text provides an accessible account to the modern study of the geometry of four-manifolds. Prerequisites are a firm grounding in differential topology and geometry, as may be gained from the first year of a graduate course.


Things to Make and Do in the Fourth Dimension

Things to Make and Do in the Fourth Dimension

Author: Matt Parker

Publisher: Farrar, Straus and Giroux

Published: 2014-12-02

Total Pages: 465

ISBN-13: 0374710376

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A book from the stand-up mathematician that makes math fun again! Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do—through its logical tools we are able to reach beyond our innate abilities and grasp more and more abstract concepts. In the absorbing and exhilarating Things to Make and Do in the Fourth Dimension, Parker sets out to convince his readers to revisit the very math that put them off the subject as fourteen-year-olds. Starting with the foundations of math familiar from school (numbers, geometry, and algebra), he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, and from there to infinity—and slightly beyond. Both playful and sophisticated, Things to Make and Do in the Fourth Dimension is filled with captivating games and puzzles, a buffet of optional hands-on activities that entices us to take pleasure in math that is normally only available to those studying at a university level. Things to Make and Do in the Fourth Dimension invites us to re-learn much of what we missed in school and, this time, to be utterly enthralled by it.