Geometry Relativity And The Fourth Dimension

Autor: Rudolf Rucker
Publisher: Courier Corporation
ISBN: 0486140334
File Size: 77,85 MB
Format: PDF, Mobi
Read: 6573
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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.

Geometry Relativity And The Fourth Dimension

Autor: Rudy von Bitter Rucker
Publisher: Courier Corporation
ISBN: 9780486234007
File Size: 49,59 MB
Format: PDF
Read: 472
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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.

Geometry Relativity And The Fourth Dimension

Autor: Rudolf V. B. Rucker
Publisher:
ISBN: 9780883075845
File Size: 73,26 MB
Format: PDF, ePub, Docs
Read: 5587
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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 Toward A Geometry Of Higher Reality

Autor: Rudy Rucker
Publisher: Courier Corporation
ISBN: 0486779785
File Size: 46,49 MB
Format: PDF, Kindle
Read: 4944
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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.

Shadows Of Reality

Autor: Tony Robbin
Publisher: Yale University Press
ISBN: 9780300129625
File Size: 10,19 MB
Format: PDF, ePub
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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.

The Fourth Dimension Simply Explained

Autor: Henry P. Manning
Publisher: Courier Corporation
ISBN: 0486165973
File Size: 72,70 MB
Format: PDF, Mobi
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Twenty-two essays examine the fourth dimension: how it may be studied, its relationship to non-Euclidean geometry, analogues to three-dimensional space, its absurdities and curiosities, and its simpler properties. 1910 edition.

Taxicab Geometry

Autor: Eugene F. Krause
Publisher: Courier Corporation
ISBN: 048613606X
File Size: 51,13 MB
Format: PDF, Mobi
Read: 289
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Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.

A Visual Introduction To The Fourth Dimension Rectangular 4d Geometry

Autor: Chris McMullen
Publisher:
ISBN: 9780615750040
File Size: 15,10 MB
Format: PDF
Read: 1435
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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!

Flatland

Autor: Edwin A. Abbott
Publisher: Garrett County Press
ISBN: 189105354X
File Size: 19,51 MB
Format: PDF
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One of the greatest science fiction books ever written; Flatland is now available with new illustrations from brilliant illustrator Kevin Stone. Follow the Flatland narrator as he discovers new lands, people and dimensions in a witty and inspiring fantasy. Not only an insightful introduction to the fourth dimension or a biting satire of Victorian England, Flatland is an unforgettable reminder of how imagination can transcend material reality, politics and ignorance.

Beyond Geometry

Autor: Peter Pesic
Publisher: Courier Corporation
ISBN: 0486453502
File Size: 37,53 MB
Format: PDF, ePub, Docs
Read: 1924
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Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This is the only English-language collection of these important papers, some of which are extremely hard to find. Contributors include Helmholtz, Klein, Clifford, Poincaré, and Cartan.