Flatland: A Romance of Many Dimensions (Dover Thrift Editions) | 
| Author: Edwin A. Abbott
Publisher: Dover Publications
Category: Book
List Price: $2.00
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Avg. Customer Rating:  154 reviews
Sales Rank: 5071
Media: Paperback
Edition: Unabridged
Number Of Items: 1
Pages: 96
Shipping Weight (lbs): 0.2
Dimensions (in): 8 x 5.1 x 0.4
ISBN: 048627263X
Dewey Decimal Number: 530.11
EAN: 9780486272634
ASIN: 048627263X
Publication Date: September 21, 1992
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Condition: Stained Edges;stained cover Giving great service since 2004: Buy from the Best! 4,000,000 items shipped to delighted customers. We have 1,000,000 unique items ready to ship! Find your Great Buy today!
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Amazon.com
Unless you're a mathematician, the chances of you reading any novels about geometry are probably slender. But if you read only two in your life, these are the ones. Taken together, they form a couple of accessible and charming explanations of geometry and physics for the curious non-mathematician. Flatland, which is also available under separate cover, was published in 1880 and imagines a two-dimensional world inhabited by sentient geometric shapes who think their planar world is all there is. But one Flatlander, a Square, discovers the existence of a third dimension and the limits of his world's assumptions about reality and comes to understand the confusing problem of higher dimensions. The book is also quite a funny satire on society and class distinctions of Victorian England. The further mathematical fantasy, Sphereland, published 60 years later, revisits the world of Flatland in time to explore the mind-bending theories created by Albert Einstein, whose work so completely altered the scientific understanding of space, time, and matter. Among Einstein's many challenges to common sense were the ideas of curved space, an expanding universe and the fact that light does not travel in a straight line. Without use of the mathematical formulae that bar most non-scientists from an understanding of Einstein's theories, Sphereland gives lay readers ways to start comprehending these confusing but fundamental questions of our reality.
Product Description
Classic of science (and mathematical) fiction — charmingly illustrated by author — describes the journeys of A. Square and his adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions). A. Square also entertains thoughts of visiting a land of four dimensions — a revolutionary idea for which he is banished from Spaceland.
Download Description
Flatland is about a two-dimensional world in which geometric shpates are the main charaters. The Square is the narrator of the book and he tells of his world and his fantastic contact with the three dimensional world. Mildly amusing and though provoking, a wonderful read for everyone! This book is easy to read in true text, not scanned images that can sometimes be difficult to decipher. This eBook has bookmarks at chapter headings and is printable.
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| Customer Reviews: Read 149 more reviews...
 Understand Multi-Dimensional Worlds June 19, 2008
This book is often recommend by theoretical physicists and mathematicians (most often mathematicians involved in hyperdimensional topology) to their students.
It was written by a Shakespeare scholar in Britain more than 100 years ago. The reason it is recommended by theoretical physicists, etc., is it provides the reader with a framework for understanding and trying to visualize dimensions above or beyond our ordinary four-dimensional world (length, width, heighth, space-time).
It deals with a two dimensional world with two dimensional beings and what happens when a third dimensional being interacts with a two dimensional world and what the two dimensional beings would see. It also does this in terms of a one dimensional being and one dimensional world interacting with a two dimensional world and two dimensional beings (or structures).
This book written with apparently some intent on commenting on Victorian England and its values (with what appeared to me to have some misogynistic comments within it), was otherwise an enjoyable book and really does provide a good analysis on multi-dimensional view points and visualizing or imagining hyper-dimensions.
If you are interested in advanced theoretical physics, hyperdimensional geometry or topology or mathematics, this is a very interesting book and may be useful. If you are just interested in a good unique science fiction story, I would highly recommend this. This is not an (explicit) math or science book - so you won't find any explicit mathematics (i.e., no math is required).
Excellent.
Exponentially entertaining! April 30, 2008
Keep in mind that this book was written over a hundred years ago, and consider the incredible ground it covers with this little tale: geometry (obviously), physics, government, politics, the clash between the sexes, class structures, manners, human nature, psychology, philosophy and even neuroscience (consciousness)! At first reading, it's deceptively simple, but explain it out loud to someone else and you'll find yourself noticing new things. If something doesn't seem to make sense, ask yourself "why?" This story is an allegory, a metaphor for so many things that fall into disjunct categories. There's a reason for the weird; the "bump" is there to make you take notice. Read it, think about it, give it some time and you'll be on your way to understanding the incredible range of this tiny work.
The Limits of Perception April 11, 2008
My appreciation of mathematics came late in life, but it finally came. I have neither the aptitude nor the training to be a professional mathematician, but I like to spend a fair amount of time reading books on mathematics. A handful that I recommend are: Darrell Huff's _How to Lie With Statistics_ (1954); David Salsburg's _The Lady Tasting Tea_ (2001); Simon Singh's _The Code Book_ (1999); Robert Osserman's _Poetry of the Universe_ (1995); Reuben Hersh's _What is Mathematics, Really?_ (1997); Bryan Bunch's _The Kingdom of Infinite Number_ (2000); James Gleick's _Chaos: Making a New Science_ (1987); and Douglas R. Hofstater's _Godel, Escher, Bach: An Eternal Golden Braid_ (1979). The last is fairly stiff reading. But it is beautifully written; and if you read only a fraction of it, your perception of the world is likely to change.
All of which brings us to a Victorian gentleman who gave some attention to the nature of and the limits of our perceptions of the world. Edwin A. Abbott (1836--1926) was a Shakespearean scholar who also took honors in mathematics and theology. In 1884, he published a mathematical fantasy called _Flatland_. It is set largely in a two-dimensional world, populated by sentient lines and shapes. Most denizens appear as lines to one another, though the relative faintness of lines gives a clue to the nature of different shapes. There is a class system built on the relative complexity of shapes: women (Straight Lines), workers and laborers (Isosceles Triangles), the middle class (Equilateral Triangles), professional men and gentlemen (Squares and Pentagons), and the nobility (Hexagons and Many-sided Figures). There is some movement from class to class, but "a woman is always a woman". The houses are also two-dimensional, mostly pentagonal in shape. There is a kind of gravitational pull to the south so that the base of various shapes turn toward the south and their apex angles toward the north. The narrator, "A. Square," has accepted his world at face value. But one day, he encounters a shape that _seems_ to be circular but who _says_ that it is a sphere... And nothing is ever quite the same.
_Flatland_ quickly became a classic. Several sequels and companion stories to the novel were written over the years by other hands, but one of the best is that of Dionys Burger, a Dutch physicist. It was originally published in 1957 as _Bolland_ and was translated as _Sphereland_ in 1965. Burger's novel relates how the natives of Flatland discover that their land is really curved. They then discover the Einsteinian properties that it contains. Burger relates how triangles can become greater than 180 degrees, how mongrel dogs can become pedegreed through three-dimensional trickery, how a brave Line explorer defied the courts to reveal new truths about the nature of space, and what geometric fairy tales can reveal about the nature of the world.
I hear the dry thunder of voices of the Mathematically Challenged rolling across the Waste Land: "We could _never_ understand!" And I say unto you: "Oh, yes you can." You don't need advanced training in math to grasp the concepts-- and they are presented in a painless, charming, and entertaining manner. So read these books and be refreshed by the rain.
Burger's book modernizes _Flatland's_ portrayal of women (Straight Lines). Here is Abbot's treatment in his novel:
Nor must it be for a moment supposed that our Women are destitute of affection. But unfortunately the passion of the moment predominates, in the Frail Sex, over every other consideration. This is, of course, a necessity arising from their unfortunate conformation. For as they have no pretensions to an angle, being inferior in this respect to the very lowest of the Isosceles, they are consequently wholly devoid of brainpower, and have neither reflection, judgement nor forethought, and hardly any memory. (15)
In a foreward to the novel, Isaac Asimov asserts that Abbott "may have participated in these now-antiquated social views" (ix). Perhaps. But I think that Asimov misses an ironic bite in this passage. I suspect that Abbott was less blinded by the prejudices of his day than his narrator, A. Square. In Burger's book, women still are the bottom social class. But they are better educated, more responsible, and less hysterically emotional. The social classes in Burger's novel (which takes place some time after the action in _Flatland_) have become a bit more fluid.
I hesitate to recommend a book because it is good for other people. That sort of praise is the kiss of death as far as most readers are concerned. But sometimes you just can't avoid mentioning that characteristic. These two fantasies are good for you. But they are also great fun. There is not a stuffy bone in either one of these beasts.
 Beware the USE of this story April 9, 2008
In Flatland, we are reminded that it is hard to convince people of something, when they have no terms of reference with which to make sense of what we're saying. It is a great reminder to us that, when we are talking to people from other religions or belief systems, it will be very hard for them to understand us. We have to really bend over backwards to translate our message into something that they can latch onto and understand. Fine. But here is the problem: Today, people are using this film to convey a very different message. They try to leave the impression that anyone who disagrees with their agenda (political, environmental, gender, whatever) is (1) wrong, (2) too poorly armed to ever understand them, and (3) therefore not worth trying to reason with. The result of this line of "thought" is that they will simply have to impose their wisdom on the Others. This leads to having government health care, whether you want it or not; using politically correct language, whether your want to or not; for your own good! So, the only problem with the Flatland story is that it fails to remind us that most people who go against the crowd are simply wrong. Sure, everyone laughed at Einstein and he turned out to be right. But everyone also laughed at millions of clowns who were simply nuts. The idea that anyone who is different is therefore right, is wrong. The idea that there is no point in reasoning with your adversaries, is also wrong. Please read or watch this story and enjoy it, but when your boss says, "I want us all to see this film so that we have a common language ..." RUN!
Have always loved this book... January 30, 2008
1 out of 1 found this review helpful
This has always been a favorite of mine, so I wanted to christen my kindle with it. I imagine most people who will buy it for the kindle have probably already read it. If you like a mixture of Gulliver's Travels, Geometry and social commentary, it is worth the small amount of money. Of course you can get it for free since it was written in the late 1800's, but the Gutenberg version doesn't have good diagrams - they are all ASCII. I couldn't find diagrams in the versions available on AMAZON except the Oxford World's Classics edition, so that is the one I recommend. The diagrams are important for the geometry aspect and are excellent in this version.
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