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by Chris McMullen

Chris_McMullen Mathematics English
  • ISBN: 1438298927
  • Category: Math & Science
  • Author: Chris McMullen
  • Subcategory: Mathematics
  • Other formats: txt rtf doc mbr
  • Language: English
  • Publisher: CreateSpace Independent Publishing Platform (August 17, 2008)
  • Pages: 166 pages
  • FB2 size: 1449 kb
  • EPUB size: 1143 kb
  • Rating: 4.8
  • Votes: 985
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More books on the fourth dimension by Chris McMullen, P. These two volumes of "The Visual Guide To Extra Dimensions" are excellent in the field of extra dimension

More books on the fourth dimension by Chris McMullen, P. 1) A Visual Guide to Extra Dimensions, Volume 1. A clear, detailed introduction to the basic geometry of a fourth dimension of space. Packed with black-and-white illustrations. These two volumes of "The Visual Guide To Extra Dimensions" are excellent in the field of extra dimension. Dr Chris McMullen gives a detailed mathematical as well as graphical explanation in discussion of fourth spatial dimension.

DESCRIPTION This book takes you on a visual tour of a fourth dimension of space

DESCRIPTION This book takes you on a visual tour of a fourth dimension of space. It is much more visual and conceptual than algebraic, yet it is detailed and technical, with the intention of satisfying the needs of d readers familiar with the fundamentals of algebra, geometry, and graphing.

Dimensions : Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces.

The Visual Guide to Extra Dimensions : Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces.

Find many great new & used options and get the best deals for The Visual Guide to Extra Dimensions . Edexcel GCSE (9-1) Mathematics: Higher Student Book by Pearson Education Limited (Paperback, 2015).

Edexcel GCSE (9-1) Mathematics: Higher Student Book by Pearson Education Limited (Paperback, 2015).

For visual insights into the fourth space dimension, see The Visual Guide to Extra Dimensions, Volume 1: Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces (McMullen 2008). Chapter 23. Confining Gravity. For much of the content of this chapter, I recommend Warped Passages: Unraveling the Mysteries of the Universe’s Hidden Dimensions (Randall 2006).

and Higher Dimensions (Banchoff, 1996) and The Visual Guide To Extra Dimensions: Visualizing The Fourth Dimension, Higher-Dimensional Polytopes, And Curved Hypersurfaces (McMullen, 2008).

Other books that treat the topic intuitively include Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions (Banchoff, 1996) and The Visual Guide To Extra Dimensions: Visualizing The Fourth Dimension, Higher-Dimensional Polytopes, And Curved Hypersurfaces (McMullen, 2008). In a more concrete computer graphics context, already in the 1960s, Noll (1967) described a computer implementations of the 4D to 3D perspective projection and its application in art (Noll, 1968).

In four dimensions, however, knots made using curves can be trivially untied by displacing them in the fourth direction-but 2D. .A useful application of dimensional analogy in visualizing higher dimensions is in projection

In four dimensions, however, knots made using curves can be trivially untied by displacing them in the fourth direction-but 2D surfaces can form non-trivial, g knots in 4D space. A useful application of dimensional analogy in visualizing higher dimensions is in projection. A projection is a way for representing an n-dimensional object in n − 1 dimensions.

The best book i at any time read

The Visual Guide to Extra Dimensions: Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces (Paperback). The Visual Guide to Extra Dimensions: Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces (Paperback). Createspace, United States, 2008. The best book i at any time read. I am quite late in start reading this one, but better then never. I realized this publication from my dad and i advised this book to understand.

AUTHOR: Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University. Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. His background on the geometry and physics of a possible fourth dimension of space includes a half-dozen research papers on the prospects of discovering large extra dimensions at the Large Hadron Collider.DESCRIPTION: This book takes you on a visual tour of a fourth dimension of space. It is much more visual and conceptual than algebraic, yet it is detailed and technical, with the intention of satisfying the needs of mathematically-minded readers familiar with the fundamentals of algebra, geometry, and graphing. Here is a sample of what you will find:A fascinating tour of the second and lower dimensions, which will help to understand the fourth dimension by analogy.A chapter dedicated toward imagining what it might be like to live in a hypothetical 4D hyperuniverse. This includes details like 4D wheels with axles, a 4D staircase, and a 4D room.Pictures of flat 4D objects called polytopes, like the tesseract, pentachoron, and icositetrachoron. A unique graph of a hecatonicosachoron has 12 of its 120 bounding dodecahedra highlighted to help visualize its complicated structure.In-depth discussion of the hypercube, including numerical patterns, rotations, cross sections, and perspective. Watch a tesseract unfold.Visual intersections of 15 pairs of perpendicular planes and 6 pairs of orthogonal hyperplanes in 4D space.Unique graphs of curved hypersurfaces in 4D space, like the glome, spherinder, cubinder, and hyperparaboloid.PUZZLES: Several puzzles are included to challenge the reader to contemplate the fourth dimension. Answers are included at the back of the book.AUDIENCE: This book is highly visual and very conceptual such that anyone with an appreciation for geometry may understand it, while at the same time including ample detail to also satisfy readers with a strong background in mathematics.
Reviews about The Visual Guide To Extra Dimensions: Visualizing The Fourth Dimension, Higher-Dimensional Polytopes, And Curved Hypersurfaces (7):
Zolorn
Great book! Complex concepts are made easily understandable, and fun. The author encourages investigative thought and abstract thinking. I love how the book builds on itself - you grow with the book. I have a new way to visualize extra-dimensions and have had fun building with pipe cleaners and my kids to try out these different constructs of dimension. This book really pulls you in and keeps you hooked on one concept after another. A nice educational tool and fun read.
Wenyost
McMullen's "Visiual Guide" is well-written and engaging. The hard-core math was downplayed in an effort to present the material in a way that most laymen could follow. Extra-dimensional space is still a bit of a visual mind-bender to me, but McMullen provides a good introduction to the topic.
Dagdalas
These two volumes of "The Visual Guide To Extra Dimensions" are excellent in the field of extra dimension. Dr Chris McMullen gives a detailed mathematical as well as graphical explanation in discussion of fourth spatial dimension. The two volumes, as mentioned also in the other comment, keep distance from common spiritual discussions and remain fully on scientific grounds.
Should fourth dimension gain a serious role in science in future, these two volumes should be considered as a reference book.
Halloween
Not the best quality book or layout but the general points are understandable.
Little Devil
Very good book. If can read the rest of my response- you can then see the fourth dimension
Steelcaster
Interesting
Precious
This is a very good introduction to four dimensions. I've read about 4D before, and very much enjoyed it. However, the depths it goes into are astoundingly deep, and consequently may not be the best for total beginners. For beginners, I would more strongly reccomend the chapter on 4D in Things to Make and Do in the Fourth Dimension. However, this is still a good book for those slightly acquainted with the subject.

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