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Flatland: A Romance of Many Dimensions, by a Square, with Illustration by the Author

Autor Edwin Abbott
en Limba Engleză Paperback – 31 iul 2011
I call our world Flatland, not because we call it so, but to make its nature clearer to you, my happy readers, who are privileged to live in Space. Imagine a vast sheet of paper on which straight Lines, Triangles, Squares, Pentagons, Hexagons, and other figures, instead of remaining fixed in their places, move freely about, on or in the surface, but without the power of rising above or sinking below it, very much like shadows-only hard with luminous edges-and you will then have a pretty correct notion of my country and countrymen. Alas, a few years ago, I should have said "my universe: " but now my mind has been opened to higher views of things. In such a country, you will perceive at once that it is impossible that there should be anything of what you call a "solid" kind; but I dare say you will suppose that we could at least distinguish by sight the Triangles, Squares, and other figures, moving about as I have described them. On the contrary, we could see nothing of the kind, not at least so as to distinguish one figure from another. Nothing was visible, nor could be visible, to us, except Straight Lines; and the necessity of this I will speedily demonstrate. Place a penny on the middle of one of your tables in Space; and leaning over it, look down upon it. It will appear a circle. But now, drawing back to the edge of the table, gradually lower your eye (thus bringing yourself more and more into the condition of the inhabitants of Flatland), and you will find the penny becoming more and more oval to your view, and at last when you have placed your eye exactly on the edge of the table (so that you are, as it were, actually a Flatlander) the penny will then have ceased to appear oval at all, and will have become, so far as you can see, a straight line. The same thing would happen if you were to treat in the same way a Triangle, or a Square, or any other figure cut out from pasteboard. As soon as you look at it with your eye on the edge of the table, you will find that it ceases to appear to you as a figure, and that it becomes in appearance a straight line. Take for example an equilateral Triangle-who represents with us a Tradesman of the respectable class. Figure 1 represents the Tradesman as you would see him while you were bending over him from above; figures 2 and 3 represent the Tradesman, as you would see him if your eye were close to the level, or all but on the level of the table; and if your eye were quite on the level of the table (and that is how we see him in Flatland) you would see nothing but a straight line.
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Specificații

ISBN-13: 9781458501615
ISBN-10: 1458501612
Pagini: 158
Dimensiuni: 152 x 229 x 9 mm
Greutate: 0.24 kg
Editura: University of Michigan Library

Notă biografică

Edwin A. Abbott (1838 - 1926) was a leading scholar of the Victorian period. A schoolmaster from the age of 26, Abbott oversaw the education of many luminaries of the Edwardian era and beyond, including Prime Minister H. H. Asquith. In his retirement, Abbott devoted himself to writing theological discussions and biographies. In 1884, he wrote Flatland, a highly original work of satirical science-fiction that is now considered a canonical example of the genre.

Recenzii

Flatland (1884) is an influential mathematical fantasy that simultaneously provides an introduction to non-Euclidean geometry and a satire on the Victorian class structure, issues of science and faith, and the role of women. A classic of early science fiction, the novel takes place in a world of two dimensions where all the characters are geometric shapes. The narrator, A Square, is a naïve, respectable citizen who is faced with proof of the existence of three dimensions when he is visited by a sphere and is forced to see the limitations of his world.
The introduction to this Broadview Edition provides context for the book’s references to Victorian culture and religion, mathematical history, and the history of philosophy. The appendices contain contemporary reviews; extracts from the work of fellow mathematical fantasy writer/mathematician Charles Hinton; Hermann von Helmboltz’s “The Axioms of Geometry” (1870); and autobiographical passages from Abbott’s The Kernel and the Husk (1886).

“Part mathematical exploration, part satire, and part fairy tale, Flatland: A Romance of Many Dimensions by Edwin Abbot has been around for more than a century and remains a standard in mathematics education…The Broadview Edition of the book combines the text with a variety of notes and essays that enhance the reading and study of this classic.” — Bill Wood, The Mathematical Association of America
“Handing its reader the full range of Abbott’s cultural sources and pedagogical motives in one volume, Lila Marz Harper’s edition of Flatland is a welcome event. Her detailed introduction provides a comprehensive overview of Flatland’s intellectual landscape and a generous sampling of current critical discussion. The content of the appendices is well chosen; especially useful is the lengthy selection from Jowett’s translation of Plato’s allegory of the Cave. Placing Abbott’s perennial mathematical parable and curious social critique squarely into its Victorian contexts, Harper also traces Flatland’s deep philosophical roots and spiritual aspirations.” — Bruce Clarke, Texas Tech University
“Among the most enduring works of Victorian fiction, Flatland justly continues to attract both popular and scholarly attention. Lila Marz Harper’s richly annotated edition rewards readers by illuminating a variety of perspectives that can be profitably adopted when exploring Abbott’s imaginative worlds today. Her introduction effectively contextualizes Flatland as reflecting mathematical innovations, progressive hermeneutics, spiritualism, social institutions, and national identity in nineteenth-century England. The meticulously compiled appendices are invaluable for providing contemporaneous responses and intellectual alternatives to, as well as appropriations of, Abbott’s genre-defying work. Harper has made an outstanding, multidimensional contribution to Flatland scholarship.” — K. G. Valente, Colgate University

Descriere

Descriere de la o altă ediție sau format:
Flatland (1884) is an influential mathematical fantasy that simultaneously provides an introduction to non-Euclidean geometry and a satire on the Victorian class structure, issues of science and faith, and the role of women. A classic of early science fiction, the novel takes place in a world of two dimensions where all the characters are geometric shapes. The narrator, A Square, is a naïve, respectable citizen who is faced with proof of the existence of three dimensions when he is visited by a sphere and is forced to see the limitations of his world.
The introduction to this Broadview Edition provides context for the book’s references to Victorian culture and religion, mathematical history, and the history of philosophy. The appendices contain contemporary reviews; extracts from the work of fellow mathematical fantasy writer/mathematician Charles Hinton; Hermann von Helmboltz’s “The Axioms of Geometry” (1870); and autobiographical passages from Abbott’s The Kernel and the Husk (1886).

Cuprins

Acknowledgements
Introduction
Edwin Abbott Abbott: A Brief Chronology
A Note on the Text
Flatland: A Romance of Many Dimensions
Appendix A: Contemporary Reviews
  1. The Oxford Magazine (5 November 1884)
  2. From The Literary World (14 November 1884)
  3. The Exchange with The Athenaeum (November-December 1884)
  4. The Architect (15 November 1884)
  5. R.Tucker, Nature (27 November 1884)
  6. New York Times (23 February 1885)
  7. From the New York Tribune (6 March 1885)
  8. Advertisement Run by Robert Brothers Publishers in The Literary World (21 March 1885)
Appendix B: Sources and Influences
  1. From Benjamin Jowett’s Translation of Plato’s Republic (1871)
  2. From Hermann von Helmholtz, “The Axioms of Geometry” (1870)
  3. From Fyodor Dostoyevsky, The Brothers Karamazov(1879-80)
  4. From C.H. Hinton, “What is the Fourth Dimension?” (1884)
Appendix C: Other Works by Abbott
  1. From The Kernel and the Husk (1886)
  2. From The Spirit on the Water:The Evolution of the Divine From the Human (1897)
Appendix D: The Influence of Flatland
  1. From A.T. Schofield, Another World (1905)
  2. From C.H. Hinton, The Fourth Dimension (1904)
  3. From C.H. Hinton, An Episode of Flatland: or How a Plane Folk Discovered the Third Dimension (1907)
Appendix E: Mathematical Background
  1. Macmillan’s Catalog of Geometry Textbooks (1884)
  2. From Euclid’s Elements
  3. The T.H. Huxley–J.J. Sylvester Debate (1869-77)
Works Cited and Recommended Reading