William Goldbloom Bloch

The Unimaginable Mathematics of Borges' Library of Babel

• Gebundenes Buch

Produktbeschreibung

"The Library of Babel" is arguably Jorge Luis Borges' best known story-memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning Godel, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea-combinatorics, topology, geometry, information theory-followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library-an easily notated but literally unimaginable number-and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader-including those more inclined to the literary world-to many intriguing and entrancing mathematical ideas.

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Produktdetails

• Verlag: Oxford University Press
• Seitenzahl: 224
• Erscheinungstermin: 25. August 2008
• Englisch
• Abmessung: 211mm x 145mm x 25mm
• Gewicht: 363g
• ISBN-13: 9780195334579
• ISBN-10: 0195334574
• Artikelnr.: 23509903

Autorenporträt

William Goldbloom Bloch is Professor of Mathematics at Wheaton College.

Inhaltsangabe

Preface
Introduction
Combinatorics: Contemplating Variations of the 23 Letter
Topology and Cosmology: The Universe (Which Others Call the Library)
Information Theory: Cataloging the Collection
Geometry and Graph Theory: Ambiguity and Access
Real Analysis: The Book of Sand
More Combinatorics: Disorderings into Order
A Homomorphism: Structure into Meaning
Critical Points
Openings
Acknowledgements
Appendix IThe Logos of Logarithms
Appendix IIFlat-Out Disoriented
Appendix IIIPeeling the 3-Sphere
Appendix IVA Labyrinth, not a Maze
Appendix VAn Example of the Ars Combinatoria
Bibliography