Geometry of Four Dimensions

Geometry of Four Dimensions PDF Author: Henry Parker Manning
Publisher:
ISBN:
Category : Hyperspace
Languages : en
Pages : 375

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Book Description

Geometry of Four Dimensions

Geometry of Four Dimensions PDF Author: Henry Parker Manning
Publisher:
ISBN:
Category : Hyperspace
Languages : en
Pages : 375

Get Book Here

Book Description


The Fourth Dimension: Toward a Geometry of Higher Reality

The Fourth Dimension: Toward a Geometry of Higher Reality PDF 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.

The Fourth Dimension

The Fourth Dimension PDF 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.

Geometry, Relativity and the Fourth Dimension

Geometry, Relativity and the Fourth Dimension PDF Author: Rudolf Rucker
Publisher: Courier Corporation
ISBN: 0486140334
Category : Science
Languages : en
Pages : 159

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Book Description
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.

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

A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry) PDF Author: Chris McMullen
Publisher:
ISBN: 9780615750040
Category :
Languages : en
Pages : 92

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Book Description
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 PDF Author: H. Blaine Lawson
Publisher: American Mathematical Soc.
ISBN: 0821807080
Category : Mathematics
Languages : en
Pages : 112

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Book Description
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.

Geometry of Four Dimensions

Geometry of Four Dimensions PDF Author: Henry Manning
Publisher: Applewood Books
ISBN: 1458500780
Category : Reference
Languages : en
Pages : 374

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Book Description


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

The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition PDF Author: Linda Dalrymple Henderson
Publisher: MIT Press
ISBN: 0262536552
Category : Art
Languages : en
Pages : 759

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Book Description
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.

Introduction to the Geometry of N Dimensions

Introduction to the Geometry of N Dimensions PDF Author: D. M.Y. Sommerville
Publisher: Courier Dover Publications
ISBN: 0486842487
Category : Mathematics
Languages : en
Pages : 224

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Book Description
Classic exploration of topics of perennial interest to geometers: fundamental ideas of incidence, parallelism, perpendicularity, angles between linear spaces, polytopes. Examines analytical geometry from projective and analytic points of view. 1929 edition.

The Geometry of Four-manifolds

The Geometry of Four-manifolds PDF Author: S. K. Donaldson
Publisher: Oxford University Press
ISBN: 9780198502692
Category : Language Arts & Disciplines
Languages : en
Pages : 464

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Book Description
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.