Geometry of Four Dimensions PDF Download

Author: Henry Parker Manning
Publisher:
ISBN:
Category : Hyperspace
Languages : en
Pages : 390

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Author: Rudy Rucker
Publisher: Courier Corporation
ISBN: 0486798194
Category : Science
Languages : en
Pages : 240

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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: 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!

Author: Henry Parker Manning
Publisher:
ISBN:
Category : Fourth dimension
Languages : en
Pages : 266

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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: 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.

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.

Author: Henry Parker Manning
Publisher: Hardpress Publishing
ISBN: 9781290845892
Category :
Languages : en
Pages : 404

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Book Description
Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

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: H. Blaine Lawson
Publisher: American Mathematical Soc.
ISBN: 0821807080
Category : Mathematics
Languages : en
Pages : 101

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Book Description
Lawson's expository lectures, presented at a CBMS Regional Conference held in Santa Barbara in August 1983, provide an indepth examination of the recent work of Simon Donaldson, and is of special interest to both geometric topologists and differential geometers. This work has excited particular interest, in light of Mike Freedman's recent profound results: the complete classification, in the simply connected case, of compact topological 4-manifolds.Arguing from deep results in gauge field theory, Donaldson has proved the nonexistence of differentiable structures on certain compact 4-manifolds. Together with Freedman's results, Donaldson's work implies the existence of exotic differentiable structures in $\mathbb R^4$-a wonderful example of the results of one mathematical discipline yielding startling consequences in another. The lectures are aimed at mature mathematicians with some training in both geometry and topology, but they do not assume any expert knowledge. In addition to a close examination of Donaldson's arguments, Lawson also presents, as background material, the foundation work in gauge theory (Uhlenbeck, Taubes, Atiyah, Hitchin, Singer, et al.) which underlies Donaldson's work.