Geometry, Relativity and the Fourth Dimension [Paperback]

Rudolf v.B. Rucker (Author)

Book Description

ISBN-10: 0486234002 | ISBN-13: 978-0486234007 | Publication Date: June 1, 1977

Exposition of 4th 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 lay readers but also of interest to specialists. Includes 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 5.4 x 0.3 inches
• Shipping Weight: 6.4 ounces (View shipping rates and policies)
• Average Customer Review: 4.5 out of 5 stars  See all reviews (23 customer reviews)
• Amazon Best Sellers Rank: #214,446 in Books (See Top 100 in Books)
  • #49 in Books > 4-for-3 Books > Science > Mathematics > General

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Customer Reviews

Most Helpful Customer Reviews

39 of 39 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 

Fred "Technology is your friend." (CHAPEL HILL, NC, United States) - See all my reviews
(REAL NAME)   

This review is from: Geometry, Relativity and the Fourth Dimension (Paperback)

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.

33 of 34 people found the following review helpful:

5.0 out of 5 stars Weird in all the right ways, December 13, 2002

By 

John S. Ryan "Scott Ryan" (Cuyahoga Falls, OH) - See all my reviews
(REAL NAME)   

This review is from: Geometry, Relativity and the Fourth Dimension (Paperback)

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.

17 of 17 people found the following review helpful:

5.0 out of 5 stars Now I get it!!!, August 21, 2001

By 

Random Joys "nicholasgeo" (Carmel, IN USA) - See all my reviews

This review is from: Geometry, Relativity and the Fourth Dimension (Paperback)

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.