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Geometry, Relativity and the Fourth Dimension
 
 
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Geometry, Relativity and the Fourth Dimension (Paperback)

by Rudolf v.B. Rucker (Author)
4.7 out of 5 stars See all reviews (20 customer reviews)

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Frequently Bought Together

Geometry, Relativity and the Fourth Dimension + Flatland: A Romance of Many Dimensions (Dover Thrift Editions) + Flatterland: Like Flatland, Only More So
Price For All Three: $22.39

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Editorial Reviews

Product Description
Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Popular, easily followed yet accurate, profound. Topics include curved space time as a higher dimension, special relativity and shape of space-time. Accessible to layman but also of interest to specialist. 141 illustrations.

Product Details

  • Paperback: 133 pages
  • Publisher: Dover Publications (June 1, 1977)
  • Language: English
  • ISBN-10: 0486234002
  • ISBN-13: 978-0486234007
  • Product Dimensions: 8.4 x 5.2 x 0.4 inches
  • Shipping Weight: 5.6 ounces (View shipping rates and policies)
  • Average Customer Review: 4.7 out of 5 stars See all reviews (20 customer reviews)
  • Amazon.com Sales Rank: #218,829 in Books (See Bestsellers in Books)

    Popular in this category: (What's this?)

    #47 in  Books > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology

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20 Reviews
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Average Customer Review
4.7 out of 5 stars (20 customer reviews)
 
 
 
 
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28 of 28 people found the following review helpful:
4.0 out of 5 stars Solid Intro to Special Relativity and Non-Euclidean Geometry, April 25, 2001
By F. Lybrand "Black Mesa" (Chapel Hill, NC US) - See all my reviews
(REAL NAME)   
In his own introduction the author, Mr. R. Rucker, states, "My goal has been to present an intuitive picture of the curved space-time we call home. There are a number of excellent introductions to the separate topics treated here, but there has been no prior weaving of them into a sustained visual account. I looked for a book like this for many years- and finding none, I wrote it." His dedication has been rewarded, as the text is one of the finer introductory books on the curvature of space time and special relativity.

The 'book like this' as the author calls it, walks the reader through several visual explanations that allow a solid mathematical and graphical explanation of modern physics. This isn't always a simple explanation, but there is a certain reward to struggling with the concepts before understanding them. In particular, Chapter 4 on time as a higher dimension makes the entire book worth reading, with many fascinating examples and a host of thought-provoking examples, such as "Schrodinger's Cat."

This is a very interesting book which would be of use to anyone who wishes to push just a little bit further than the typical popular physics text. For those who wish to push even further to solidify their knowledge, there are even questions at the end of each chapter. I highly recommend this book.

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23 of 24 people found the following review helpful:
5.0 out of 5 stars Weird in all the right ways, December 13, 2002
I really enjoy Rudy Rucker's nonfiction, and some of his fiction too (_White Light_ is great). He's very good at presenting mind-blowingly cool ideas in accessible expository prose, and he knows _just_ when to throw in the bombs.

This particular book is published by Dover, and it's not one of their usual reprints; it was _originally_ published by Dover. (In 1977, but the geometry of spacetime hasn't changed much since then.) It's an exploration of just what the title says: the geometry of the four-dimensional spacetime that the theory of relativity says is Really Out There.

Well, this is a good book on the subject, but you can get others (although one of the best -- Cornelius Lanczos's delightful _Space Through the Ages_ -- has long been out of print). What's coolest about this one is that Rudy Rucker wrote it.

Which means you get those little bombs thrown in at all the right places. Of course Rucker gives you what any competent mathematician will give you -- a sound introductory presentation of the mathematics of 4D spacetime and relativity theory, which are weird enough if you haven't encountered them before (and maybe even if you have) -- but he doesn't stop there. You also get an argument that the apparent passage of time is an illusion, and a little speculation about how this might tie in with the Many-Worlds Interpretation of quantum mechanics. And even that isn't all: you get a suggestion that it's possible to _develop a spacetime consciousness_ via some sort of meditation techniques or mystical insight, together with an entry in the annotated bibliography referring you (cautiously) to Robert A. Monroe's _Journeys Out of the Body_, whose experiments Rucker himself has tried.

It's like Raymond Smullyan on acid, if you know what I mean. But honest, it really does make sense. And it really will knock your mind loose from your brain even without the use of chemical aids.

This is the sort of thing Rucker does best. He does it in _Infinity and the Mind_, too (with which this volume has a little bit of overlap, but you won't care). Check out that book as well, along with _White Light_. Mathematical hippie mysticism just doesn't get any better.

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13 of 13 people found the following review helpful:
5.0 out of 5 stars Now I get it!!!, August 21, 2001
By "nicholasgeo" (Carmel, IN USA) - See all my reviews
Yes, finally, I get the hoopla with the fourth dimension. Rucker explains things with lots of classsical geometric illustrations. Not intending to scare you, I must warn you that he takes the reader all the way to a 5-dimensional world. Still, it is simple to explain, because he uses line-land (the 2-dimansional version of flatland) adds a dimension, then one more, and the result can be visualized in 3-D. I am just astounded that I could understand this without mind-crunching effort. It was not an easy read, but it was not very hard either. No derivatives, matrixes, integrals, or any of the other off-putting versions of mathematics. Just straight (actually fairly wrinkled) geometry.
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Most Recent Customer Reviews

5.0 out of 5 stars Good intro to related topics to Special Relativity
I found this work to be quite readable and something I can introduce to people with less math background. Read more
Published 6 months ago by Chris Travers

4.0 out of 5 stars Instructive, and interesting
I found the book to be both educational, in that I learned great deal about geomtery and the history of diemsions from this book, as well as being fun to read. Read more
Published 20 months ago by Lisa Walters

4.0 out of 5 stars With few exceptions, it is a readable, stepwise explanation of how the universe is structured
To understand relativity, it is necessary to understand geometry, specifically how a straight line can be curved. Read more
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5.0 out of 5 stars The best book ever in its field
This book has presented the most difficult topics of our world with the easiest words. After reading this book many of my questions that I had in my mind for a long time were... Read more
Published on April 18, 2007 by CRZadeh

4.0 out of 5 stars explain dimensions very well
it is published years before but it is almost new for today and it explain dimensions and shape of space well and clearly .thanx to amazon for sending me timely.
Published on March 31, 2007 by A. Övgün

5.0 out of 5 stars See what's outside the box
Over two millenia ago, Euclid wrote his masterpiece Elements and stated in his fifth postulate that only one perpendicular line could pass through any one point adjacent to... Read more
Published on March 30, 2007 by Steve Reina

5.0 out of 5 stars excellent book, fascinating author, start your exploration! :)
Mr. Rucker is a 'genius educator' in my opinion :) he can open your mind and get you started - no matter what direction you wanna take! Read more
Published on December 31, 2005 by Salvatore Micheal

5.0 out of 5 stars Flat-earth theory not so dumb anymore
Found this to be a good supplement to books like Six not so easy pieces , with more details about deriving the rules of geodesics or meaning of lightcones and terms like... Read more
Published on November 13, 2005 by Asymptote

5.0 out of 5 stars an extra dimension
This book is mainly concerned with exactly what the title says and I have been searching for a book like this for a very long time. Read more
Published on July 10, 2004

4.0 out of 5 stars Good but Missing a Few Things
I haven't completely read this book, but I've read several like it. I want to point out some things that other reviewers haven't touched on. Read more
Published on November 28, 2003 by W. Watson

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